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Template:Infobox scientist John Robert Stallings Jr. (July 22, 1935 – November 24, 2008) was a mathematician known for his seminal contributions to geometric group theory and 3-manifold topology. Stallings was a Professor Emeritus in the Department of Mathematics at the University of California at Berkeley^[1] where he had been a faculty member since 1967.^[1] He published over 50 papers, predominantly in the areas of geometric group theory and the topology of 3-manifolds. Stallings' most important contributions include a proof, in a 1960 paper, of the Poincaré Conjecture in dimensions greater than six and a proof, in a 1971 paper, of the Stallings theorem about ends of groups.

Biographical data

John Stallings was born on July 22, 1935 in Morrilton, Arkansas.^[1]

Stallings received his B.Sc. from University of Arkansas in 1956 (where he was one of the first two graduates in the university's Honors program)^[2] and he received a Ph.D. in Mathematics from Princeton University in 1959 under the direction of Ralph Fox.^[1]

After completing his PhD, Stallings held a number of postdoctoral and faculty positions, including being an NSF postdoctoral fellow at Oxford University as well as and instructorship and a faculty appointment at Princeton. Stallings joined the University of California at Berkeley as a faculty member in 1967 where he remained until his retirement in 1994.^[1] Even after his retirement, Stallings continued supervising UC Berkeley graduate students until 2005.^[3] Stallings was an Alfred P. Sloan Research fellow from 1962–65 and a Miller Institute fellow from 1972-73.^[1] Over the course of his career, Stallings had 22 doctoral students including Marc Culler and Hyam Rubinstein and 60 doctoral descendants. He published over 50 papers, predominantly in the areas of geometric group theory and the topology of 3-manifolds.

Stallings delivered an invited address as the International Congress of Mathematicians in Nice in 1970^[4] and a James K. Whittemore Lecture at Yale University in 1969.^[5]

Stallings received the Frank Nelson Cole Prize in Algebra from the American Mathematical Society in 1970.^[6]

The conference "Geometric and Topological Aspects of Group Theory", held at the Mathematical Sciences Research Institute in Berkeley in May 2000, was dedicated to the 65th birthday of Stallings.^[7] In 2002 a special issue of the journal Geometriae Dedicata was dedicated to Stallings on the occasion of his 65th birthday.^[8] Stallings died from prostate cancer on November 24, 2008.^[3]^[9]

Mathematical contributions

Most of Stallings' mathematical contributions are in the areas of geometric group theory and low-dimensional topology (particularly the topology of 3-manifolds) and on the interplay between these two areas.

An early significant result of Stallings is his 1960 proof^[10] of the Poincaré Conjecture in dimensions greater than six. (Stallings' proof was obtained independently from and shortly after the different proof of Steve Smale who established the same result in dimensions bigger than four^[11]).

Using "engulfing" methods similar to those in his proof of the Poincaré Conjecture for n > 6, Stallings proved that ordinary Euclidean n-dimensional space has a unique piecewise linear, hence also smooth, structure, if n is not equal to 4. This took on added significance when, as a consequence of work of Michael Freedman and Simon Donaldson in 1982, it was shown that 4-space has exotic smooth structures, in fact uncountably many such.

In a 1963 paper^[12] Stallings constructed an example of a finitely presented group with infinitely generated 3-dimensional integral homology group and, moreover, not of the type ${\mathcal {F}}_{3}$ , that is, not admitting a classifying space with a finite 3-skeleton. This example came to be called the Stallings group and is a key example in the study of homological finiteness properties of groups. Bieri later showed^[13] that the Stallings group is exactly the kernel of the homomorphism from the direct product of three copies of the free group F₂ to the additive group Z of integers that sends to 1 ∈ Z the six elements coming from the choice of free bases for the three copies of F₂. Bieri also showed that the Stallings group fits into a sequence of examples of groups of type ${\mathcal {F}}_{n}$ but not of type ${\mathcal {F}}_{n+1}$ . The Stallings group is a key object in the version of discrete Morse theory for cubical complexes developed by Bestvina and Brady^[14] and in the study of subgroups of direct products of limit groups.^[15]^[16]^[17]

Stallings' most famous theorem in group theory is an algebraic characterization of groups with more than one end (that is, with more than one "connected component at infinity"), which is now known as Stallings' theorem about ends of groups. Stallings proved that a finitely generated group G has more than one end if and only if this group admits a nontrivial splitting as an amalgamated free product or as an HNN-extension over a finite group (that is, in terms of Bass-Serre theory, if and only if the group admits a nontrivial action on a tree with finite edge stabilizers). More precisely, the theorem states that a finitely generated group G has more than one end if and only if either G admits a splitting as an amalgamated free product $\scriptstyle G=A\ast _{C}B$ , where the group C is finite and C ≠ A, C ≠ B, or G admits a splitting as an HNN-extension $\scriptstyle G=\langle H,t|t^{-1}Kt=L\rangle$ where K,L ≤ H are finite subgroups of H.

Stallings proved this result in a series of works, first dealing with the torsion-free case (that is, a group with no nontrivial elements of finite order)^[18] and then with the general case.^[5]^[19] Stalling's theorem yielded a positive solution to the long-standing open problem about characterizing finitely generated groups of cohomological dimension one as exactly the free groups.^[20] Stallings' theorem about ends of groups is considered one of the first results in geometric group theory proper since it connects a geometric property of a group (having more than one end) with its algebraic structure (admitting a splitting over a finite subgroup). Stallings' theorem spawned many subsequent alternative proofs by other mathematicians (e.g.^[21]^[22]) as well as many applications (e.g.^[23]). The theorem also motivated several generalizations and relative versions of Stallings' result to other contexts, such as the study of the notion of relative ends of a group with respect to a subgroup,^[24]^[25]^[26] including a connection to CAT(0) cubical complexes.^[27] A comprehensive survey discussing, in particular, numerous applications and generalizations of Stallings' theorem, is given in a 2003 paper of Wall.^[28]

Another influential paper of Stalling is his 1983 article "Topology on finite graphs".^[29] Traditionally, the algebraic structure of subgroups of free groups has been studied in combinatorial group theory using combinatorial methods, such as the Schreier rewriting method and Nielsen transformations.^[30] Stallings' paper put forward a topological approach based on the methods of covering space theory that also used a simple graph-theoretic framework. The paper introduced the notion of what is now commonly referred to as Stallings subgroup graph for describing subgroups of free groups, and also introduced a foldings technique (used for approximating and algorithmically obtaining the subgroup graphs) and the notion of what is now known as a Stallings folding. Most classical results regarding subgroups of free groups acquired simple and straightforward proofs in this set-up and Stallings' method has become the standard tool in the theory for studying the subgroup structure of free groups, including both the algebraic and algorithmic questions (see ^[31]). In particular, Stallings subgroup graphs and Stallings foldings have been the used as a key tools in many attempts to approach the Hanna Neumann conjecture.^[32]^[33]^[34]^[35]

Stallings subgroup graphs can also be viewed as finite state automata^[31] and they have also found applications in semigroup theory and in computer science.^[36]^[37]^[38]^[39]

Stallings' foldings method has been generalized and applied to other contexts, particularly in Bass-Serre theory for approximating group actions on trees and studying the subgroup structure of the fundamental groups of graphs of groups. The first paper in this direction was written by Stallings himself,^[40] with several subsequent generalizations of Stallings' folding methods in the Bass-Serre theory context by other mathematicians.^[41]^[42]^[43]^[44]

Stallings' 1991 paper "Non-positively curved triangles of groups"^[45] introduced and studied the notion of a triangle of groups. This notion was the starting point for the theory of complexes of groups (a higher-dimensional analog of Bass-Serre theory), developed by Haefliger^[46] and others.^[47]^[48] Stallings' work pointed out the importance of imposing some sort of "non-positive curvature" conditions on the complexes of groups in order for the theory to work well; such restrictions are not necessary in the one-dimensional case of Bass-Serre theory.

Among Stallings' contributions to 3-manifold topology, the most well-known is the Stallings fibration theorem.^[49] The theorem states that if M is a compact irreducible 3-manifold whose fundamental group contains a normal subgroup, such that this subgroup is finitely generated and such that the quotient group by this subgroup is infinite cyclic, then M fibers over a circle. This is an important structural result in the theory of Haken manifolds that engendered many alternative proofs, generalizations and applications (e.g.^[50]^[51]^[52]^[53] ), including a higher-dimensional analog.^[54]

A 1965 paper of Stallings "How not to prove the Poincaré conjecture"^[55] gave a group-theoretic reformulation of the famous Poincaré conjecture. The paper began with a humorous admission: "I have committed the sin of falsely proving Poincare's Conjecture. But that was in another country; and besides, until now, no one has known about it."^[1]^[55] Despite its ironic title, Stallings' paper informed much of the subsequent research on exploring the algebraic aspects of the Poincaré Conjecture (see, for example,^[56]^[57]^[58]^[59]).

Selected works

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Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010, with over 100 recent citations
Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010

Notes

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

External links

50 yr old Print Journalist Broadbent from Deep River, has hobbies and interests which includes r/c helicopters, property developers in singapore house for rent and scrabble. Suggests that you go to Tomb of Askia.
home page of John Stallings.
Remembering John Stallings, Notices of the American Mathematical Society, vol. 56 (2009), no. 11, pp. 1410 1417

In the event you've just lately been requested by your employer to be posted to Singapore, then this website is for you. Whether or not you're single or married with kids, whether or not you are looking for a condominium, a bungalow, a semi-detached or a public condo, residing and renting a house in Singapore at this time is straightforward when you recognize the ins and outs, the dos and don'ts.

He is a rip-off!! Severely trust me he's on of the scammer agent. He made me believe that I've a spot to remain then when I was about to move the place isn't out there. Then he just took my deposit and agent's charge. By the best way he's also the landlord of the place i am presupposed to lease. He took my money and ran away. However I went to the HDB and complain him, additionally I complain straight to the police. Then the police called him and he got scared. Finally each penny that I gave him, he give it again since HDB and police office is supporting me. Don't be lazy to complain. Go straight to the police and complain these individuals.

i imagine there are good ethical brokers in Singapore. But i have encounter unhealthy experiencing the Christina Fong from realty master. She is admittedly an unprofessional and never moral one. Only considering of undercutiing and squeezing money from ptther people without defending interest of her personal shopper. Proceed to the section Training and look at a map of all worldwide colleges in Singapore or visit the section residential areas for detailed data on the place to stay and why. Information District and Location Have completed no less than 30 property transactions up to now three years. At least 10 of these transactions will have to be for private properties, and at the very least one other 10 needs to be for HDB flats (also known as public housing); Singapore-Indonesia Commercial Affiliation

Agents need to be very resourceful and so they have to work doubly onerous to succeed in out to extra consumers as a result of when the market swings, it turns into very aggressive," said PropNex Chief Executive Mohamed Ismail. "Beforehand, an agent might focus on one space, comparable to HDB, however at this time you may't." An motion for misrepresentation arises beneath the law of tort. A Misrepresentation happens when the Representor (Property Agent) makes a false assertion of existing truth with data of its falsity and with the intention that the Representee (Buyer or Seller) ought to act on it with the consequence that the Representee does act on it to his detriment. Metropolis & South West (D01-08) Tiong Bahru MRT Quiet C/Room F/Furnished w AC No Agent Price

On February 19 we had an appointment with the proprietor and his agent (A and H!) at the condominium to hand over the keys. They went by means of all the things with a wonderful tooth comb. An important lesson we learned over all this is that you simply MUST ENGAGE YOUR PERSONAL AGENT and never rely on the homeowners agent as his priority is to the proprietor not you. Nevertheless, last night time my own agent called me and informed me suddenly that ECG instructed them a buyer goes handy them a check within the morning, so we higher act fast or we may lose the property. Stamp responsibility is to be paid inside 14 days from the date of acceptance of the OTP or Sale and buy a house in singapore (click hyperlink) (S&P) Settlement. For more information, please go to www.iras.gov.sg - Gown Up Your House Woodlands East Industrial & Industrial Affiliation

There may also be a Code of Ethics and a Skilled Conduct Commonplace, as well as the introduction of disciplinary motion in opposition to errant brokers/businesses and dispute decision mechanisms. Preparations shall be made to manage the transition of existing agencies and agents to these new standards, which have but to be finalized. The Proposed Enchancment in High quality for Actual Property Businesses Wheelock Properties put up 95 items of The Panorama in Ang Mo Kio for balloting. With a reduction of 12 p.c, they claimed to promote 80 to eighty five units. Whereas developers are clearing their existing stock, every month there are new projects acquiring their HIGH and new sites released by the government to construct more private housing. The due date of each rental payment; or

To know who pays actual property commissions - whether or not it's sellers or buyers or both or if it is Landlord's or Tenant's or both Divisions vary. All Brokers work on a commission scheme that is determined by the experience, efficiency and various other elements equivalent to recruitment and many others. New brokers can receive from a range of 60%-70% of the full fee received by them from the closure of a deal. High producing brokers would possibly obtain 100% and pay the company (broker) a desk fee. Everybody else falls somewhere in between. Kindly discuss with the FAQ part of the CEA web site-www.cea.gov.sg Co-Broking / sharing of fee There isn't a set formulation. This is based on the demand and supply circumstances in the market. present agents have tertiary education. Template:Persondata

↑ ^1.0 ^1.1 ^1.2 ^1.3 ^1.4 ^1.5 ^1.6 Mathematician John Stallings died last year at 73. UC Berkeley press release, January 12, 2009. Accessed January 26, 2009
↑ All things academic. Volume 3, Issue 4; November 2002.
↑ ^3.0 ^3.1 Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010. Accessed January 26, 2009.
↑ John R. Stallings. Group theory and 3-manifolds. Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 2, pp. 165–167. Gauthier-Villars, Paris, 1971.
↑ ^5.0 ^5.1 John Stallings. Group theory and three-dimensional manifolds. A James K. Whittemore Lecture in Mathematics given at Yale University, 1969. Yale Mathematical Monographs, 4. Yale University Press, New Haven, Conn.–London, 1971.
↑ Frank Nelson Cole Prize in Algebra. American Mathematical Society.
↑ Geometric and Topological Aspects of Group Theory, conference announcement, atlas-conferences.com
↑ Geometriae Dedicata, vol. 92 (2002). Special issue dedicated to John Stallings on the occasion of his 65th birthday. Edited by R. Z. Zimmer.
↑ Professor Emeritus John Stallings of the UC Berkeley Mathematics Department has died. Announcement at the website of the Department of Mathematics of the University of California at Berkeley. Accessed December 4, 2008
↑ John Stallings. Polyhedral homotopy spheres. Bulletin of the American Mathematical Society, vol. 66 (1960), pp. 485–488.
↑ S. Smale. Generalized Poincaré's conjecture in dimensions greater than four. Annals of Mathematics (2nd Ser.), vol. 74 (1961), no. 2, pp. 391–406
↑ John Stallings. A finitely presented group whose 3-dimensional integral homology is not finitely generated. American Journal of Mathematics, vol. 85 (1963), pp. 541–543
↑ Robert Bieri. Homological dimension of discrete groups. Queen Mary College Mathematical Notes. Queen Mary College, Department of Pure Mathematics, London, 1976.
↑ Mladen Bestvina, and Noel Brady. Morse theory and finiteness properties of groups. Inventiones Mathematicae, vol. 129 (1997), no. 3, pp. 445–470
↑ Martin R. Bridson, James Howie, Charles F. Miller, and Hamish Short. The subgroups of direct products of surface groups. Geometriae Dedicata, vol. 92 (2002), pp. 95–103.
↑ Martin R. Bridson, and James Howie. Subgroups of direct products of elementarily free groups. Geometric and Functional Analysis, vol. 17 (2007), no. 2, pp. 385–403
↑ Martin R. Bridson, and James Howie. Subgroups of direct products of two limit groups. Mathematical Research Letters, vol. 14 (2007), no. 4, 547–558
↑ John R. Stallings. On torsion-free groups with infinitely many ends. Annals of Mathematics (2), vol. 88 (1968), pp. 312–334.
↑ John Stallings. Groups of cohomological dimension one. Applications of Categorical Algebra (Proc. Sympos. Pure Math., Vol. XVIII, New York, 1968) pp. 124–128. American Mathematical Society, Providence, R.I, 1970.
↑ John R. Stallings. Groups of dimension 1 are locally free. Bulletin of the American Mathematical Society, vol. 74 (1968), pp. 361–364
↑ M. J.Dunwoody. Cutting up graphs. Combinatorica 2 (1982), no. 1, pp. 15–23.
↑ Warren Dicks, and M. J. Dunwoody. Groups acting on graphs. Cambridge Studies in Advanced Mathematics, 17. Cambridge University Press, Cambridge, 1989. ISBN 0-521-23033-0
↑ Peter Scott. A new proof of the annulus and torus theorems. American Journal of Mathematics, vol. 102 (1980), no. 2, pp. 241–277
↑ G. A.Swarup. Relative version of a theorem of Stallings. Journal of Pure and Applied Algebra, vol. 11 (1977/78), no. 1–3, pp. 75–82
↑ M. J. Dunwoody, and E. L. Swenson. The algebraic torus theorem. Inventiones Mathematicae, vol. 140 (2000), no. 3, pp. 605–637
↑ G. P. Scott, and G. A. Swarup. An algebraic annulus theorem. Pacific Journal of Mathematics, vol. 196 (2000), no. 2, pp. 461–506
↑ Michah Sageev. Ends of group pairs and non-positively curved cube complexes. Proceedings of the London Mathematical Society (3), vol. 71 (1995), no. 3, pp. 585–617
↑ C. T. Wall. The geometry of abstract groups and their splittings. Revista Matemática Complutense vol. 16 (2003), no. 1, pp. 5–101.
↑ John R. Stallings. Topology of finite graphs. Inventiones Mathematicae, vol. 71 (1983), no. 3, pp. 551–565
↑ Roger C. Lyndon and Paul E. Schupp. Combinatorial Group Theory. Springer–Verlag, New York, 2001. "Classics in Mathematics" series, reprint of the 1977 edition. ISBN 978-3-540-41158-1
↑ ^31.0 ^31.1 Ilya Kapovich, and Alexei Myasnikov. Stallings foldings and subgroups of free groups. Journal of Algebra, vol. 248 (2002), no. 2, 608–668
↑ J. Meakin, and P. Weil. Subgroups of free groups: a contribution to the Hanna Neumann conjecture. Proceedings of the Conference on Geometric and Combinatorial Group Theory, Part I (Haifa, 2000). Geometriae Dedicata, vol. 94 (2002), pp. 33–43.
↑ Warren Dicks. Equivalence of the strengthened Hanna Neumann conjecture and the amalgamated graph conjecture. Inventiones Mathematicae, vol. 117 (1994), no. 3, pp. 373–389.
↑ Warren Dicks, and Edward Formanek. The rank three case of the Hanna Neumann conjecture. Journal of Group Theory, vol. 4 (2001), no. 2, pp. 113–151
↑ Bilal Khan. Positively generated subgroups of free groups and the Hanna Neumann conjecture. Combinatorial and geometric group theory (New York, 2000/Hoboken, NJ, 2001), pp. 155–170, Contemp. Math., 296, Amer. Math. Soc., Providence, RI, 2002; ISBN 0-8218-2822-3
↑ Jean-Camille Birget, and Stuart W. Margolis. Two-letter group codes that preserve aperiodicity of inverse finite automata. Semigroup Forum, vol. 76 (2008), no. 1, pp. 159–168
↑ D. S. Ananichev, A. Cherubini, M. V. Volkov. Image reducing words and subgroups of free groups. Theoretical Computer Science, vol. 307 (2003), no. 1, pp. 77–92.
↑ J. Almeida, and M. V. Volkov. Subword complexity of profinite words and subgroups of free profinite semigroups. International Journal of Algebra and Computation, vol. 16 (2006), no. 2, pp. 221–258.
↑ Benjamin Steinberg. A topological approach to inverse and regular semigroups. Pacific Journal of Mathematics, vol. 208 (2003), no. 2, pp. 367–396
↑ John R. Stallings. Foldings of G-trees. Arboreal group theory (Berkeley, CA, 1988), pp. 355–368, Math. Sci. Res. Inst. Publ., 19, Springer, New York, 1991; ISBN 0-387-97518-7
↑ Mladen Bestvina and Mark Feighn. Bounding the complexity of simplicial group actions on trees, Inventiones Mathematicae, vol. 103, (1991), no. 3, pp. 449–469
↑ M. J. Dunwoody. Folding sequences. The Epstein birthday schrift, pp. 139–158 (electronic), Geometry and Topology Monographs, 1, Geom. Topol. Publ., Coventry, 1998.
↑ Ilya Kapovich, Richard Weidmann, and Alexei Miasnikov. Foldings, graphs of groups and the membership problem. International Journal of Algebra and Computation, vol. 15 (2005), no. 1, pp. 95–128.
↑ Yuri Gurevich, and Paul E. Schupp. Membership problem for the modular group. SIAM Journal on Computing, vol. 37 (2007), no. 2, pp. 425–459
↑ John R. Stallings. Non-positively curved triangles of groups. Group theory from a geometrical viewpoint (Trieste, 1990), pp. 491–503, World Sci. Publ., River Edge, NJ, 1991; ISBN 981-02-0442-6
↑ André Haefliger. Complexes of groups and orbihedra. in: "Group theory from a geometrical viewpoint (Trieste, 1990)", pp. 504–540, World Sci. Publ., River Edge, NJ, 1991. ISBN 981-02-0442-6
↑ Jon Corson. Complexes of groups. Proceedings of the London Mathematical Society (3) 65 (1992), no. 1, pp. 199–224.
↑ Martin R. Bridson, and André Haefliger. Metric spaces of non-positive curvature. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 319. Springer-Verlag, Berlin, 1999. ISBN 3-540-64324-9
↑ John R. Stallings. On fibering certain 3-manifolds. 1962 Topology of 3-manifolds and related topics (Proc. The Univ. of Georgia Institute, 1961) pp. 95–100. Prentice-Hall, Englewood Cliffs, N.J
↑ John Hempel, and William Jaco. 3-manifolds which fiber over a surface. American Journal of Mathematics, vol. 94 (1972), pp. 189–205
↑ Alois Scharf. Zur Faserung von Graphenmannigfaltigkeiten. (in German) Mathematische Annalen, vol. 215 (1975), pp. 35–45.
↑ Louis Zulli. Semibundle decompositions of 3-manifolds and the twisted cofundamental group. Topology and its Applications, vol. 79 (1997), no. 2, pp. 159–172
↑ Nathan M. Dunfield, and Dylan P. Thurston. A random tunnel number one 3-manifold does not fiber over the circle. Geometry & Topology, vol. 10 (2006), pp. 2431–2499
↑ W. Browder, and J. Levine. Fibering manifolds over a circle. Commentarii Mathematici Helvetici, vol. 40 (1966), pp. 153–160
↑ ^55.0 ^55.1 John R. Stallings. How not to prove the Poincaré conjecture. Topology Seminar, Wisconsin, 1965. Edited by R. H. Bing and R. J. Bean. Annals of Mathematics Studies, No. 60. Princeton University Press, Princeton, N.J. 1966
↑ Robert Myers. Splitting homomorphisms and the geometrization conjecture. Mathematical Proceedings of the Cambridge Philosophical Society, vol. 129 (2000), no. 2, pp. 291–300
↑ Tullio Ceccherini-Silberstein. On the Grigorchuk-Kurchanov conjecture. Manuscripta Mathematica 107 (2002), no. 4, pp. 451–461
↑ V. N. Berestovskii. Poincaré's conjecture and related statements. (in Russian) Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. vol. 51 (2000), no. 9, pp. 3–41; translation in Russian Mathematics (Izvestiya VUZ. Matematika), vol. 51 (2007), no. 9, 1–36
↑ V. Poenaru. Autour de l'hypothèse de Poincaré. in: "Géométrie au XXe siècle, 1930–2000 : histoire et horizons". Montréal, Presses internationales Polytechnique, 2005. ISBN 2-553-01399-X, 9782553013997.

[UCBPR-1] 1.0 ^1.1 ^1.2 ^1.3 ^1.4 ^1.5 ^1.6 Mathematician John Stallings died last year at 73. UC Berkeley press release, January 12, 2009. Accessed January 26, 2009

[2] All things academic. Volume 3, Issue 4; November 2002.

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[4] John R. Stallings. Group theory and 3-manifolds. Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 2, pp. 165–167. Gauthier-Villars, Paris, 1971.

[SWM-5] 5.0 ^5.1 John Stallings. Group theory and three-dimensional manifolds. A James K. Whittemore Lecture in Mathematics given at Yale University, 1969. Yale Mathematical Monographs, 4. Yale University Press, New Haven, Conn.–London, 1971.

[6] Frank Nelson Cole Prize in Algebra. American Mathematical Society.

[7] Geometric and Topological Aspects of Group Theory, conference announcement, atlas-conferences.com

[8] Geometriae Dedicata, vol. 92 (2002). Special issue dedicated to John Stallings on the occasion of his 65th birthday. Edited by R. Z. Zimmer.

[9] Professor Emeritus John Stallings of the UC Berkeley Mathematics Department has died. Announcement at the website of the Department of Mathematics of the University of California at Berkeley. Accessed December 4, 2008

[10] John Stallings. Polyhedral homotopy spheres. Bulletin of the American Mathematical Society, vol. 66 (1960), pp. 485–488.

[11] S. Smale. Generalized Poincaré's conjecture in dimensions greater than four. Annals of Mathematics (2nd Ser.), vol. 74 (1961), no. 2, pp. 391–406

[12] John Stallings. A finitely presented group whose 3-dimensional integral homology is not finitely generated. American Journal of Mathematics, vol. 85 (1963), pp. 541–543

[13] Robert Bieri. Homological dimension of discrete groups. Queen Mary College Mathematical Notes. Queen Mary College, Department of Pure Mathematics, London, 1976.

[14] Mladen Bestvina, and Noel Brady. Morse theory and finiteness properties of groups. Inventiones Mathematicae, vol. 129 (1997), no. 3, pp. 445–470

[15] Martin R. Bridson, James Howie, Charles F. Miller, and Hamish Short. The subgroups of direct products of surface groups. Geometriae Dedicata, vol. 92 (2002), pp. 95–103.

[16] Martin R. Bridson, and James Howie. Subgroups of direct products of elementarily free groups. Geometric and Functional Analysis, vol. 17 (2007), no. 2, pp. 385–403

[17] Martin R. Bridson, and James Howie. Subgroups of direct products of two limit groups. Mathematical Research Letters, vol. 14 (2007), no. 4, 547–558

[18] John R. Stallings. On torsion-free groups with infinitely many ends. Annals of Mathematics (2), vol. 88 (1968), pp. 312–334.

[19] John Stallings. Groups of cohomological dimension one. Applications of Categorical Algebra (Proc. Sympos. Pure Math., Vol. XVIII, New York, 1968) pp. 124–128. American Mathematical Society, Providence, R.I, 1970.

[20] John R. Stallings. Groups of dimension 1 are locally free. Bulletin of the American Mathematical Society, vol. 74 (1968), pp. 361–364

[21] M. J.Dunwoody. Cutting up graphs. Combinatorica 2 (1982), no. 1, pp. 15–23.

[22] Warren Dicks, and M. J. Dunwoody. Groups acting on graphs. Cambridge Studies in Advanced Mathematics, 17. Cambridge University Press, Cambridge, 1989. ISBN 0-521-23033-0

[23] Peter Scott. A new proof of the annulus and torus theorems. American Journal of Mathematics, vol. 102 (1980), no. 2, pp. 241–277

[24] G. A.Swarup. Relative version of a theorem of Stallings. Journal of Pure and Applied Algebra, vol. 11 (1977/78), no. 1–3, pp. 75–82

[25] M. J. Dunwoody, and E. L. Swenson. The algebraic torus theorem. Inventiones Mathematicae, vol. 140 (2000), no. 3, pp. 605–637

[26] G. P. Scott, and G. A. Swarup. An algebraic annulus theorem. Pacific Journal of Mathematics, vol. 196 (2000), no. 2, pp. 461–506

[27] Michah Sageev. Ends of group pairs and non-positively curved cube complexes. Proceedings of the London Mathematical Society (3), vol. 71 (1995), no. 3, pp. 585–617

[28] C. T. Wall. The geometry of abstract groups and their splittings. Revista Matemática Complutense vol. 16 (2003), no. 1, pp. 5–101.

[29] John R. Stallings. Topology of finite graphs. Inventiones Mathematicae, vol. 71 (1983), no. 3, pp. 551–565

[30] Roger C. Lyndon and Paul E. Schupp. Combinatorial Group Theory. Springer–Verlag, New York, 2001. "Classics in Mathematics" series, reprint of the 1977 edition. ISBN 978-3-540-41158-1

[KWM-31] 31.0 ^31.1 Ilya Kapovich, and Alexei Myasnikov. Stallings foldings and subgroups of free groups. Journal of Algebra, vol. 248 (2002), no. 2, 608–668

[32] J. Meakin, and P. Weil. Subgroups of free groups: a contribution to the Hanna Neumann conjecture. Proceedings of the Conference on Geometric and Combinatorial Group Theory, Part I (Haifa, 2000). Geometriae Dedicata, vol. 94 (2002), pp. 33–43.

[33] Warren Dicks. Equivalence of the strengthened Hanna Neumann conjecture and the amalgamated graph conjecture. Inventiones Mathematicae, vol. 117 (1994), no. 3, pp. 373–389.

[34] Warren Dicks, and Edward Formanek. The rank three case of the Hanna Neumann conjecture. Journal of Group Theory, vol. 4 (2001), no. 2, pp. 113–151

[35] Bilal Khan. Positively generated subgroups of free groups and the Hanna Neumann conjecture. Combinatorial and geometric group theory (New York, 2000/Hoboken, NJ, 2001), pp. 155–170, Contemp. Math., 296, Amer. Math. Soc., Providence, RI, 2002; ISBN 0-8218-2822-3

[36] Jean-Camille Birget, and Stuart W. Margolis. Two-letter group codes that preserve aperiodicity of inverse finite automata. Semigroup Forum, vol. 76 (2008), no. 1, pp. 159–168

[37] D. S. Ananichev, A. Cherubini, M. V. Volkov. Image reducing words and subgroups of free groups. Theoretical Computer Science, vol. 307 (2003), no. 1, pp. 77–92.

[38] J. Almeida, and M. V. Volkov. Subword complexity of profinite words and subgroups of free profinite semigroups. International Journal of Algebra and Computation, vol. 16 (2006), no. 2, pp. 221–258.

[39] Benjamin Steinberg. A topological approach to inverse and regular semigroups. Pacific Journal of Mathematics, vol. 208 (2003), no. 2, pp. 367–396

[40] John R. Stallings. Foldings of G-trees. Arboreal group theory (Berkeley, CA, 1988), pp. 355–368, Math. Sci. Res. Inst. Publ., 19, Springer, New York, 1991; ISBN 0-387-97518-7

[41] Mladen Bestvina and Mark Feighn. Bounding the complexity of simplicial group actions on trees, Inventiones Mathematicae, vol. 103, (1991), no. 3, pp. 449–469

[42] M. J. Dunwoody. Folding sequences. The Epstein birthday schrift, pp. 139–158 (electronic), Geometry and Topology Monographs, 1, Geom. Topol. Publ., Coventry, 1998.

[43] Ilya Kapovich, Richard Weidmann, and Alexei Miasnikov. Foldings, graphs of groups and the membership problem. International Journal of Algebra and Computation, vol. 15 (2005), no. 1, pp. 95–128.

[44] Yuri Gurevich, and Paul E. Schupp. Membership problem for the modular group. SIAM Journal on Computing, vol. 37 (2007), no. 2, pp. 425–459

[45] John R. Stallings. Non-positively curved triangles of groups. Group theory from a geometrical viewpoint (Trieste, 1990), pp. 491–503, World Sci. Publ., River Edge, NJ, 1991; ISBN 981-02-0442-6

[46] André Haefliger. Complexes of groups and orbihedra. in: "Group theory from a geometrical viewpoint (Trieste, 1990)", pp. 504–540, World Sci. Publ., River Edge, NJ, 1991. ISBN 981-02-0442-6

[47] Jon Corson. Complexes of groups. Proceedings of the London Mathematical Society (3) 65 (1992), no. 1, pp. 199–224.

[48] Martin R. Bridson, and André Haefliger. Metric spaces of non-positive curvature. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 319. Springer-Verlag, Berlin, 1999. ISBN 3-540-64324-9

[49] John R. Stallings. On fibering certain 3-manifolds. 1962 Topology of 3-manifolds and related topics (Proc. The Univ. of Georgia Institute, 1961) pp. 95–100. Prentice-Hall, Englewood Cliffs, N.J

[50] John Hempel, and William Jaco. 3-manifolds which fiber over a surface. American Journal of Mathematics, vol. 94 (1972), pp. 189–205

[51] Alois Scharf. Zur Faserung von Graphenmannigfaltigkeiten. (in German) Mathematische Annalen, vol. 215 (1975), pp. 35–45.

[52] Louis Zulli. Semibundle decompositions of 3-manifolds and the twisted cofundamental group. Topology and its Applications, vol. 79 (1997), no. 2, pp. 159–172

[53] Nathan M. Dunfield, and Dylan P. Thurston. A random tunnel number one 3-manifold does not fiber over the circle. Geometry & Topology, vol. 10 (2006), pp. 2431–2499

[54] W. Browder, and J. Levine. Fibering manifolds over a circle. Commentarii Mathematici Helvetici, vol. 40 (1966), pp. 153–160

[HNTPPC-55] 55.0 ^55.1 John R. Stallings. How not to prove the Poincaré conjecture. Topology Seminar, Wisconsin, 1965. Edited by R. H. Bing and R. J. Bean. Annals of Mathematics Studies, No. 60. Princeton University Press, Princeton, N.J. 1966

[56] Robert Myers. Splitting homomorphisms and the geometrization conjecture. Mathematical Proceedings of the Cambridge Philosophical Society, vol. 129 (2000), no. 2, pp. 291–300

[57] Tullio Ceccherini-Silberstein. On the Grigorchuk-Kurchanov conjecture. Manuscripta Mathematica 107 (2002), no. 4, pp. 451–461

[58] V. N. Berestovskii. Poincaré's conjecture and related statements. (in Russian) Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. vol. 51 (2000), no. 9, pp. 3–41; translation in Russian Mathematics (Izvestiya VUZ. Matematika), vol. 51 (2007), no. 9, 1–36

[59] V. Poenaru. Autour de l'hypothèse de Poincaré. in: "Géométrie au XXe siècle, 1930–2000 : histoire et horizons". Montréal, Presses internationales Polytechnique, 2005. ISBN 2-553-01399-X, 9782553013997.

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+{{Infobox scientist
+|name              = John R. Stallings
+|image             = Stallings.jpg
+|caption           = 2006 photo of Stallings
+|birth_date        = {{Birth date|1935|7|22}}
+|birth_place       = [[Morrilton, Arkansas]], [[United States]]
+|death_date        = {{death date and age|2008|11|24|1935|7|22}}
+|death_place       = [[Berkeley, California]], [[United States]]
+|residence         =
+|nationality       = [[United States]]
+|field             = [[Mathematics]]
+|work_institutions = [[University of California at Berkeley]]
+|alma_mater        = [[University of Arkansas]]<br>[[Princeton University]]
+|doctoral_advisor  = [[Ralph Fox]]
+|doctoral_students =
+|known_for         = proof of [[Generalized Poincaré conjecture|Poincaré Conjecture in dimensions greater than six]];  [[Stallings theorem about ends of groups]]
+|prizes            = [[Cole Prize|Frank Nelson Cole Prize in Algebra]] (1971)
+|Erdős number      =
+|religion          =
+|footnotes         =
+}}
+'''John Robert Stallings Jr.''' (July 22, 1935 – November 24, 2008) was a [[mathematician]] known for his seminal contributions to [[geometric group theory]] and [[Low-dimensional topology|3-manifold topology]]. Stallings was a Professor Emeritus in the Department of Mathematics at the [[University of California at Berkeley]]<ref name="UCBPR">[http://berkeley.edu/news/media/releases/2009/01/12_stallings.shtml  Mathematician John Stallings died last year at 73.] [[UC Berkeley]] press release, January 12, 2009. Accessed January 26, 2009</ref> where he had been a faculty member since 1967.<ref name="UCBPR"/> He published over 50 papers, predominantly in the areas of [[geometric group theory]] and the topology of [[3-manifold]]s. Stallings' most important contributions include a proof, in a 1960 paper, of the [[Generalized Poincaré conjecture|Poincaré Conjecture in dimensions greater than six]] and a proof, in a 1971 paper, of the [[Stallings theorem about ends of groups]].
+==Biographical data==
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+John Stallings was born on July 22, 1935 in [[Morrilton, Arkansas]].<ref name="UCBPR"/>
+Stallings received his B.Sc. from [[University of Arkansas]] in 1956 (where he was one of the first two graduates in the university's Honors program)<ref>[http://libinfo.uark.edu/ata/v3no4/honorscollege.asp All things academic.] Volume 3, Issue 4; November 2002.</ref> and he received a Ph.D. in Mathematics from [[Princeton University]] in 1959 under the direction of [[Ralph Fox]].<ref name="UCBPR"/>
+After completing his PhD, Stallings held a number of postdoctoral and faculty positions, including being an NSF postdoctoral fellow at [[Oxford University]] as well as and instructorship and a faculty appointment at Princeton. Stallings joined the University of California at Berkeley as a faculty member in 1967 where he remained until his retirement in 1994.<ref name="UCBPR"/> Even after his retirement, Stallings continued supervising UC Berkeley graduate students until 2005.<ref name="NYT"/> Stallings was an [[Sloan Fellowship|Alfred P. Sloan Research fellow]] from 1962–65 and a Miller Institute fellow from 1972-73.<ref name="UCBPR"/>
+Over the course of his career, Stallings had 22 doctoral students including [[Marc Culler]] and [[J. Hyam Rubinstein|Hyam Rubinstein]] and 60 doctoral descendants.  He published over 50 papers, predominantly in the areas of [[geometric group theory]] and the topology of [[3-manifold]]s.
+Stallings delivered an invited address as the [[International Congress of Mathematicians]] in [[Nice]] in 1970<ref>John R. Stallings. ''Group theory and 3-manifolds.''  Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 2,  pp. 165&ndash;167. Gauthier-Villars, Paris, 1971.</ref> and a James K. Whittemore Lecture at [[Yale University]] in 1969.<ref name="SWM">John Stallings. ''Group theory and three-dimensional manifolds.''
+A James K. Whittemore Lecture in Mathematics given at Yale University, 1969. Yale Mathematical Monographs, 4. [[Yale University Press]], New Haven, Conn.&ndash;London, 1971.</ref>
+Stallings received the [[Cole Prize|Frank Nelson Cole Prize in Algebra]] from the [[American Mathematical Society]] in 1970.<ref>[http://www.ams.org/prizes/cole-prize-algebra.html Frank Nelson Cole Prize in Algebra.] [[American Mathematical Society]].</ref>
+The conference "Geometric and Topological Aspects of Group Theory", held at the [[Mathematical Sciences Research Institute]] in Berkeley in May 2000, was dedicated to the 65th birthday of Stallings.<ref>[http://atlas-conferences.com/cgi-bin/calendar/d/faam71 Geometric and Topological Aspects of Group Theory, conference announcement], atlas-conferences.com</ref>
+In 2002 a special issue of the journal [[Geometriae Dedicata]] was dedicated to Stallings on the occasion of his 65th birthday.<ref>[http://www.springerlink.com/content/acnlhf5dylu1/?p=36fc0e096ab34a99bf226a2b5cd5ca0a&pi=0 Geometriae Dedicata], vol. 92 (2002). Special issue dedicated to John Stallings on the occasion of his 65th birthday. Edited by R. Z. Zimmer.</ref> Stallings died from [[prostate cancer]] on November 24, 2008.<ref name="NYT">{{citation|title=John R. Stallings Jr., 73, California Mathematician, Is Dead|journal=[[New York Times]]|date=January 18, 2009|url=http://www.nytimes.com/2009/01/19/us/19stallings.html|first=Kenneth|last=Chang}}. Accessed January 26, 2009.</ref><ref>[http://math.berkeley.edu/home.html Professor Emeritus John Stallings of the UC Berkeley Mathematics Department has died.] Announcement at the website of the Department of Mathematics of the [[University of California at Berkeley]]. Accessed December 4, 2008</ref>
+==Mathematical contributions==
+Most of Stallings' mathematical contributions are in the areas of [[geometric group theory]] and [[low-dimensional topology]] (particularly the topology of [[3-manifold]]s) and on the interplay between these two areas.
+An early significant result of Stallings is his 1960 proof<ref>John Stallings. [http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.bams/1183523757 ''Polyhedral homotopy spheres.''] [[Bulletin of the American Mathematical Society]], vol. 66 (1960), pp. 485&ndash;488.</ref> of the [[Generalized Poincaré conjecture|Poincaré Conjecture in dimensions greater than six]]. (Stallings' proof was obtained independently from and shortly after the different proof of [[Steve Smale]] who established the same result in dimensions bigger than four<ref>S. Smale. ''Generalized Poincaré's conjecture in dimensions greater than four''. [[Annals of Mathematics]] (2nd Ser.), vol. 74 (1961), no. 2, pp. 391&ndash;406</ref>).
+Using "engulfing" methods similar to those in his proof of the Poincaré Conjecture for ''n'' > 6, Stallings proved that ordinary Euclidean ''n''-dimensional space has a unique piecewise linear, hence also smooth, structure, if ''n'' is not equal to 4.  This took on added significance when, as a consequence of work of [[Michael Freedman]] and [[Simon Donaldson]] in 1982, it was shown that 4-space has [[exotic R4|exotic smooth structures]], in fact uncountably many such.
+In a 1963 paper<ref>John Stallings.
+''A finitely presented group whose 3-dimensional integral homology is not finitely generated.''
+[[American Journal of Mathematics]], vol. 85 (1963), pp. 541&ndash;543</ref> Stallings constructed an example of a [[finitely presented group]] with infinitely generated 3-dimensional integral [[Group homology|homology group]] and, moreover, not of the type <math>\mathcal F_3 </math>, that is, not admitting a [[classifying space]] with a finite 3-skeleton. This example came to be called the ''Stallings group'' and is a key example in the study of homological finiteness properties of groups. Bieri later showed<ref>Robert Bieri. ''Homological dimension of discrete groups.''
+Queen Mary College Mathematical Notes. [[Queen Mary, University of London|Queen Mary College]], Department of Pure Mathematics, London, 1976.</ref> that the Stallings group is exactly the kernel of the homomorphism from the direct product of three copies of the [[free group]] ''F''<sub>2</sub> to the additive group '''Z''' of integers that sends to 1&nbsp;∈&nbsp;'''Z''' the six elements coming from the choice of free bases for the three copies of ''F''<sub>2</sub>. Bieri also showed that the Stallings group fits into a sequence of examples of groups of type <math>\mathcal F_n </math> but not of type <math>\mathcal F_{n+1} </math>. The Stallings group is a key object in the version of discrete [[Morse theory]] for cubical complexes developed by [[Mladen Bestvina|Bestvina]] and Brady<ref>Mladen Bestvina, and Noel Brady. [http://www.springerlink.com/content/nhj24dgb0vb7bx5p/?p=62f8c742e1c64076994f8b151392c1f6&pi=1 ''Morse theory and finiteness properties of groups''.]  [[Inventiones Mathematicae]], vol.  129  (1997),  no. 3, pp. 445&ndash;470</ref> and in the study of subgroups of direct products of [[limit group]]s.<ref>Martin R. Bridson, James Howie, Charles F. Miller, and Hamish Short. [http://www.springerlink.com/content/l7653623q4205434/ ''The subgroups of direct products of surface groups''.] [[Geometriae Dedicata]], vol. 92  (2002), pp. 95&ndash;103.</ref><ref>Martin R. Bridson, and James Howie. [http://www.springerlink.com/content/w34016g8379x5q47/ ''Subgroups of direct products of elementarily free groups.'']  [[Geometric and Functional Analysis]], vol. 17  (2007),  no. 2, pp. 385&ndash;403</ref><ref>Martin R. Bridson, and James Howie. [http://www.mrlonline.org/mrl/2007-014-004/2007-014-004-001.pdf ''Subgroups of direct products of two limit groups.'']  Mathematical Research Letters, vol. 14 (2007), no. 4, 547&ndash;558</ref>
+Stallings' most famous theorem in [[group theory]] is an algebraic characterization of groups with more than one [[End (topology)|end]] (that is, with more than one "connected component at infinity"), which is now known as [[Stallings theorem about ends of groups|Stallings' theorem about ends of groups]]. Stallings proved that a [[finitely generated group]] ''G'' has more than one end if and only if this group admits a nontrivial splitting as an [[free product with amalgamation|amalgamated free product]] or as an [[HNN-extension]] over a finite group (that is, in terms of [[Bass-Serre theory]], if and only if the group admits a nontrivial action on a [[tree (graph theory)|tree]] with finite edge stabilizers). More precisely, the theorem states that a [[finitely generated group]] ''G'' has more than one end if and only if either ''G'' admits a splitting as an [[free product with amalgamation|amalgamated free product]] <math>\scriptstyle G=A\ast_C B</math>, where the group ''C'' is finite and ''C''&nbsp;≠&nbsp;''A'', ''C''&nbsp;≠&nbsp;''B'', or ''G'' admits a splitting as an [[HNN-extension]] <math>\scriptstyle G=\langle H, t | t^{-1}Kt=L\rangle</math> where ''K'',''L''&nbsp;≤&nbsp;''H'' are finite [[subgroup]]s of ''H''.
+Stallings proved this result in a series of works, first dealing with the torsion-free case (that is, a group with no nontrivial elements of finite [[Order (group theory)|order]])<ref>John R. Stallings. ''On torsion-free groups with infinitely many ends.''  [[Annals of Mathematics]] (2), vol. 88 (1968), pp. 312&ndash;334.</ref> and then with the general case.<ref name="SWM"/><ref>John Stallings. ''Groups of cohomological dimension one.''  Applications of Categorical Algebra (Proc. Sympos. Pure Math., Vol. XVIII, New York, 1968)  pp. 124&ndash;128. [[American Mathematical Society]], Providence, R.I, 1970.</ref> Stalling's theorem yielded a positive solution to the long-standing open problem about characterizing finitely generated groups of cohomological dimension one as exactly the [[free group]]s.<ref>John R. Stallings. [http://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.bams/1183529548&page=record ''Groups of dimension 1 are locally free.'']  Bulletin of the American Mathematical Society, vol. 74 (1968), pp. 361&ndash;364</ref> Stallings' theorem about ends of groups is considered one of the first results in [[geometric group theory]] proper since it connects a geometric property of a group (having more than one end) with its algebraic structure (admitting a splitting over a finite subgroup). Stallings' theorem spawned many subsequent alternative proofs by other mathematicians (e.g.<ref>M. J.Dunwoody. [http://www.springerlink.com/content/yp22n46n40813lwr/ ''Cutting up graphs.'']  Combinatorica  2  (1982), no. 1, pp. 15&ndash;23.</ref><ref>Warren Dicks, and M. J. Dunwoody. [http://books.google.com/books?id=xgsM5BvkMvIC&printsec=frontcover&dq=Warren+Dicks,+and+M.+J.+Dunwoody.+Groups+acting+on+graphs ''Groups acting on graphs.''] Cambridge Studies in Advanced Mathematics, 17. [[Cambridge University Press]], Cambridge, 1989. ISBN 0-521-23033-0</ref>) as well as many applications (e.g.<ref>Peter Scott. [http://www.jstor.org/pss/2374238 ''A new proof of the annulus and torus theorems.'']  American Journal of Mathematics, vol. 102  (1980), no. 2, pp. 241&ndash;277</ref>). The theorem also motivated several generalizations and relative versions of Stallings' result to other contexts, such as the study of the notion of relative ends of a group with respect to a subgroup,<ref>G. A.Swarup. [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V0K-45FT7S1-2F&_user=571676&_coverDate=12%2F31%2F1977&_rdoc=11&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235649%231977%23999889998%23298178%23FLP%23display%23Volume)&_cdi=5649&_sort=d&_docanchor=&_ct=28&_acct=C000029040&_version=1&_urlVersion=0&_userid=571676&md5=96e9b99d8411df349be7999d21503ca9 ''Relative version of a theorem of Stallings.'']
+Journal of Pure  and Applied Algebra, vol. 11 (1977/78), no. 1&ndash;3, pp. 75&ndash;82</ref><ref>M. J. Dunwoody, and E. L. Swenson. [http://www.springerlink.com/content/892hyejtew7h2vg5/ ''The algebraic torus theorem.'']  [[Inventiones Mathematicae]], vol. 140 (2000),  no. 3, pp. 605&ndash;637</ref><ref>G. P. Scott, and G. A. Swarup. [http://nyjm.albany.edu:8000/PacJ/p/2000/196-2-13.pdf ''An algebraic annulus theorem.'']  Pacific Journal of Mathematics, vol.  196  (2000),  no. 2, pp. 461&ndash;506</ref> including a connection to [[CAT(0) space|CAT(0) cubical complexes]].<ref>Michah Sageev. [http://plms.oxfordjournals.org/cgi/content/abstract/s3-71/3/585 ''Ends of group pairs and non-positively curved cube complexes.'']  [[Proceedings of the London Mathematical Society]] (3), vol.  71  (1995),  no. 3, pp. 585&ndash;617</ref> A comprehensive survey discussing, in particular, numerous applications and generalizations of Stallings' theorem, is given in a 2003 paper of [[Terry Wall|Wall]].<ref>C. T. Wall. ''The geometry of abstract groups and their splittings.''
+Revista Matemática Complutense vol. 16 (2003), no. 1, pp. 5&ndash;101.</ref>
+Another influential paper of Stalling is his 1983 article "Topology on finite graphs".<ref>John R. Stallings. [http://www.springerlink.com/content/mn2h645qw2058530/ ''Topology of finite graphs.'']  [[Inventiones Mathematicae]], vol. 71  (1983),  no. 3, pp. 551&ndash;565</ref> Traditionally, the algebraic structure of [[subgroup]]s of [[free group]]s has been studied in [[combinatorial group theory]] using combinatorial methods, such as the [[Schreier's subgroup lemma|Schreier rewriting method]] and [[Nielsen transformation]]s.<ref>[[Roger Lyndon|Roger C. Lyndon]] and Paul E. Schupp. [http://books.google.com/books?id=aiPVBygHi_oC&printsec=frontcover&dq=Roger+C.+Lyndon+and+Paul+E.+Schupp.+Combinatorial+Group+Theory ''Combinatorial Group Theory.''] Springer&ndash;Verlag, New York, 2001. "Classics in Mathematics" series, reprint of the 1977 edition. ISBN 978-3-540-41158-1</ref> Stallings' paper put forward a topological approach based on the methods of [[covering space|covering space theory]] that also used a simple [[graph theory|graph-theoretic]] framework. The paper introduced the notion of what is now commonly referred to as ''Stallings subgroup graph'' for describing subgroups of free groups, and also introduced a foldings technique (used for approximating and algorithmically obtaining the subgroup graphs) and the notion of what is now known as a ''Stallings folding''. Most classical results regarding subgroups of free groups acquired simple and straightforward proofs in this set-up and Stallings' method has become the standard tool in the theory for studying the subgroup structure of free groups, including both the algebraic and algorithmic questions (see <ref name="KWM">Ilya Kapovich, and Alexei Myasnikov. ''Stallings foldings and subgroups of free groups.''  [[Journal of Algebra]], vol. 248  (2002),  no. 2, 608&ndash;668</ref>). In particular, Stallings subgroup graphs and Stallings foldings have been the used as a key tools in many attempts to approach the [[Hanna Neumann conjecture]].<ref>J. Meakin, and P. Weil. ''Subgroups of free groups: a contribution to the Hanna Neumann conjecture.''
+Proceedings of the Conference on Geometric and Combinatorial Group Theory, Part I (Haifa, 2000).
+Geometriae Dedicata, vol. 94 (2002), pp. 33&ndash;43.</ref><ref>Warren Dicks. ''Equivalence of the strengthened Hanna Neumann conjecture and the amalgamated graph conjecture.'' [[Inventiones Mathematicae]], vol. 117 (1994), no. 3, pp. 373&ndash;389.</ref><ref>Warren Dicks, and [[Edward Formanek]]. ''The rank three case of the Hanna Neumann conjecture''. Journal of Group Theory, vol. 4 (2001), no. 2, pp. 113&ndash;151</ref><ref>Bilal Khan. ''Positively generated subgroups of free groups and the Hanna Neumann conjecture.'' Combinatorial and geometric group theory (New York, 2000/Hoboken, NJ, 2001), pp. 155&ndash;170, Contemp. Math., 296, Amer. Math. Soc., Providence, RI, 2002; ISBN 0-8218-2822-3</ref>
+Stallings subgroup graphs can also be viewed as [[finite state automata]]<ref name="KWM"/> and they have also found applications in [[semigroup|semigroup theory]] and in [[computer science]].<ref>Jean-Camille Birget, and Stuart W. Margolis. ''Two-letter group codes that preserve aperiodicity of inverse finite automata.'' Semigroup Forum, vol. 76 (2008), no. 1, pp. 159&ndash;168</ref><ref>D. S. Ananichev, A. Cherubini, M. V. Volkov. ''Image reducing words and subgroups of free groups.'' Theoretical Computer Science, vol. 307 (2003), no. 1, pp. 77&ndash;92.</ref><ref>J. Almeida, and M. V. Volkov. ''Subword complexity of profinite words and subgroups of free profinite semigroups.'' International Journal of Algebra and Computation, vol. 16 (2006), no. 2, pp. 221&ndash;258.</ref><ref>Benjamin Steinberg. ''A topological approach to inverse and regular semigroups.'' Pacific Journal of Mathematics, vol. 208 (2003), no. 2, pp. 367&ndash;396</ref>
+Stallings' foldings method has been generalized and applied to other contexts, particularly in [[Bass-Serre theory]] for approximating group actions on [[tree (graph theory)|trees]] and studying the subgroup structure of the [[Bass-Serre theory|fundamental groups of graphs of groups]]. The first paper in this direction was written by Stallings himself,<ref>John R. Stallings. ''Foldings of G-trees.''  Arboreal group theory (Berkeley, CA, 1988), pp. 355&ndash;368, Math. Sci. Res. Inst. Publ., 19, Springer, New York, 1991; ISBN 0-387-97518-7</ref> with several subsequent generalizations of Stallings' folding methods in the [[Bass-Serre theory]] context by other mathematicians.<ref>Mladen Bestvina and Mark Feighn. ''Bounding the complexity of simplicial group actions on trees'',  [[Inventiones Mathematicae]], vol. 103, (1991), no. 3, pp. 449&ndash;469</ref><ref>M. J. Dunwoody.
+[http://msp.warwick.ac.uk/gtm/1998/01/p007.xhtml ''Folding sequences.''] The Epstein birthday schrift, pp. 139&ndash;158 (electronic),
+Geometry and Topology Monographs, 1, Geom. Topol. Publ., Coventry, 1998.</ref><ref>Ilya Kapovich, Richard Weidmann, and Alexei Miasnikov. ''Foldings, graphs of groups and the membership problem.'' International  Journal of Algebra and Computation, vol. 15 (2005), no. 1, pp. 95&ndash;128.</ref><ref>Yuri Gurevich, and Paul E. Schupp. ''Membership problem for the modular group.''  SIAM Journal on Computing, vol. 37  (2007),  no. 2, pp. 425&ndash;459</ref>
+Stallings' 1991 paper ''"Non-positively curved triangles of groups"''<ref>John R. Stallings. ''Non-positively curved triangles of groups.''  Group theory from a geometrical viewpoint (Trieste, 1990),  pp. 491&ndash;503, World Sci. Publ., River Edge, NJ, 1991; ISBN 981-02-0442-6</ref> introduced and studied the notion of a [[Orbifold#Triangles of groups|triangle of groups]]. This notion was the starting point for the theory of [[Orbifold#Complexes of groups|complexes of groups]] (a higher-dimensional analog of [[Bass-Serre theory]]), developed by Haefliger<ref>[[André Haefliger]]. Complexes of groups and orbihedra. in: "Group theory from a geometrical viewpoint (Trieste, 1990)", pp. 504&ndash;540, World Sci. Publ., River Edge, NJ, 1991. ISBN 981-02-0442-6</ref> and others.<ref>Jon Corson. ''Complexes of groups.'' [[Proceedings of the London Mathematical Society]] (3) 65 (1992), no. 1, pp. 199&ndash;224.</ref><ref>Martin R. Bridson, and André Haefliger. Metric spaces of non-positive curvature. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 319. Springer-Verlag, Berlin, 1999. ISBN 3-540-64324-9</ref> Stallings' work pointed out the importance of imposing some sort of "non-positive curvature" conditions on the complexes of groups in order for the theory to work well; such restrictions are not necessary in the one-dimensional case of [[Bass-Serre theory]].
+Among Stallings' contributions to [[3-manifold|3-manifold topology]], the most well-known is the ''Stallings fibration theorem''.<ref>John R. Stallings. ''On fibering certain 3-manifolds.'' 1962 Topology of 3-manifolds and related topics (Proc. The Univ. of Georgia Institute, 1961) pp. 95&ndash;100. Prentice-Hall, Englewood Cliffs, N.J</ref> The theorem states that if ''M'' is a compact irreducible [[3-manifold]] whose [[fundamental group]] contains a [[normal subgroup]], such that this subgroup is [[finitely generated group|finitely generated]] and such that the [[quotient group]] by this subgroup is [[infinite cyclic group|infinite cyclic]], then ''M'' [[Fibration|fibers]] over a circle. This is an important structural result in the theory of [[Haken manifold]]s that engendered many alternative proofs, generalizations and applications (e.g.<ref>John Hempel, and William Jaco. ''3-manifolds which fiber over a surface.'' [[American Journal of Mathematics]], vol. 94 (1972), pp. 189&ndash;205</ref><ref>Alois Scharf. ''Zur Faserung von Graphenmannigfaltigkeiten.'' (in German)
+Mathematische Annalen, vol. 215 (1975), pp. 35&ndash;45.</ref><ref>Louis Zulli. ''Semibundle decompositions of 3-manifolds and the twisted cofundamental group.''
+Topology and its Applications, vol. 79 (1997), no. 2, pp. 159&ndash;172</ref><ref>Nathan M. Dunfield, and Dylan P. Thurston. [http://www.msp.warwick.ac.uk/gt/2006/10/p055.xhtml ''A random tunnel number one 3-manifold does not fiber over the circle.'']  [[Geometry & Topology]], vol. 10  (2006), pp. 2431&ndash;2499</ref> ), including a higher-dimensional analog.<ref>W. Browder, and J. Levine.
+[http://www.springerlink.com/content/6832937w73322373/ ''Fibering manifolds over a circle.''] [[Commentarii Mathematici Helvetici]], vol. 40 (1966), pp. 153&ndash;160</ref>
+A 1965 paper of Stallings ''"How not to prove the Poincaré conjecture"''<ref name="HNTPPC">John R. Stallings. [http://math.berkeley.edu/~stall/notPC.pdf ''How not to prove the Poincaré conjecture''.] Topology Seminar, Wisconsin, 1965.
+Edited by R. H. Bing and R. J. Bean. Annals of Mathematics Studies, No. 60. [[Princeton University Press]], Princeton, N.J. 1966</ref> gave a [[group theory|group-theoretic]] reformulation of the famous [[Poincaré conjecture]]. The paper began with a humorous admission: "I have committed the sin of falsely proving Poincare's Conjecture. But that was in another country; and besides, until now, no one has known about it."<ref name="UCBPR"/><ref name="HNTPPC"/>  Despite its ironic title, Stallings' paper informed much of the subsequent research on exploring the algebraic aspects of the [[Poincaré Conjecture]] (see, for example,<ref>Robert Myers. [http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=57081&fulltextType=RA&fileId=S0305004100004631 ''Splitting homomorphisms and the geometrization conjecture.''] Mathematical Proceedings of the Cambridge Philosophical Society, vol. 129 (2000), no. 2, pp. 291&ndash;300</ref><ref>Tullio Ceccherini-Silberstein. [http://www.springerlink.com/content/un4rk51at6r1cr3h/ ''On the Grigorchuk-Kurchanov conjecture.'']
+Manuscripta Mathematica 107 (2002), no. 4, pp. 451&ndash;461</ref><ref>V. N. Berestovskii. ''Poincaré's conjecture and related statements.'' (in Russian) Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. vol. 51 (2000), no. 9, pp. 3&ndash;41;  translation in  Russian Mathematics (Izvestiya VUZ. Matematika), vol. 51  (2007),  no. 9, 1&ndash;36</ref><ref>V. Poenaru. ''Autour de l'hypothèse de Poincaré''. in: "Géométrie au XXe siècle, 1930&ndash;2000 : histoire et horizons".  Montréal, Presses internationales Polytechnique, 2005. ISBN 2-553-01399-X, 9782553013997.</ref>).
+== Selected works ==
+* {{Citation | last1=Stallings | first1=John R. | author1-link=John R. Stallings | title=Polyhedral homotopy spheres | mr=0124905  | year=1960 | journal=Bulletin of the American Mathematical Society | volume=66 | pages=485–488 | url=http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.bams/1183523757}}
+* {{Citation | last1=Stallings | first1=John R. | author1-link=John R. Stallings | title=The piecewise-linear structure of Euclidean space |  mr=0149457  | year=1962 | journal=Proceedings of the Cambridge Philosophical Society | volume=58 | issue=03 | pages=481–488 | doi=10.1017/S0305004100036756 | last2=Zeeman | first2=E. C.}}
+*{{Citation | last1=Stallings | first1=John R. | author1-link=John R. Stallings | title=Topology of 3-manifolds and related topics (Proc. The Univ. of Georgia Institute, 1961) | publisher=[[Prentice Hall]] | mr=0158375  | year=1962 | chapter=On fibering certain 3-manifolds | pages=95–100}}
+* {{Citation | last1=Stallings | first1=John R. | author1-link=John R. Stallings | title=Homology and central series of groups | doi=10.1016/0021-8693(65)90017-7 | mr=0175956  | year=1965 | journal=Journal of Algebra | volume=2 | issue=2 | pages=170–181 | url=http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WH2-4D7K7V7-1ND&_user=10&_coverDate=06%2F30%2F1965&_rdoc=2&_fmt=high&_orig=browse&_srch=doc-info(%23toc%236838%231965%23999979997%23518386%23FLP%23display%23Volume)&_cdi=6838&_sort=d&_docanchor=&_ct=4&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=8ab7d96d2a5bc830377ddb428f668224}}
+* {{Citation | last1=Stallings | first1=John | author1-link=John R. Stallings | title=A finitely presented group whose 3-dimensional integral homology is not finitely generated | mr=0158917  | year=1963| journal=[[American Journal of Mathematics]] | volume=85 | pages=541&ndash;543 | doi=10.2307/2373106 | jstor=2373106 | issue=4 | publisher=The Johns Hopkins University Press}}
+* {{Citation | last1=Stallings | first1=John R. | author1-link=John R. Stallings | title=On torsion-free groups with infinitely many ends | doi=10.2307/1970577 | mr=0228573  | year=1968 | journal=[[Annals of Mathematics|Annals of Mathematics. Second Series]] | volume=88 | pages=312–334 | issue=2 | publisher=Annals of Mathematics | jstor=1970577}}
+*{{Citation | last1=Stallings | first1=John R. | author1-link=John R. Stallings | title=Group theory and three-dimensional manifolds | publisher=[[Yale University Press]] | mr=0415622  | year=1971|isbn=0-300-01397-3}}
+*{{Citation | last1=Stallings | first1=John R. | author1-link=John R. Stallings | title=Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976), Part 2 | publisher=[[American Mathematical Society]] | location=Providence, R.I. | series=Proc. Sympos. Pure Math., XXXII | mr=520522  | year=1978 | chapter=Constructions of fibred knots and links | pages=55–60}}
+* {{Citation | last1=Stallings | first1=John R. | author1-link=John R. Stallings | title=Topology of finite graphs | doi=10.1007/BF02095993 | mr=695906  | year=1983 | journal=[[Inventiones Mathematicae]] | volume=71 | issue=3 | pages=551–565 | url=http://www.springerlink.com/content/mn2h645qw2058530/}}, with over 100 recent citations
+*{{Citation | last1=Stallings | first1=John R. | author1-link=John R. Stallings | title=Arboreal group theory (Berkeley, CA, 1988)| publisher=Springer | location=New York | series=Mathematical Sciences Research Institute Publications|volume =19 | mr=1105341  | year=1991 | chapter=Folding ''G''-trees| pages=355&ndash;368| isbn=0-387-97518-7}}
+*{{Citation | last1=Stallings | first1=John R. | author1-link=John R. Stallings | title=Group theory from a geometrical viewpoint (Trieste, 1990) | publisher=World Scientific | location=River Edge, NJ| mr=1170374  | year=1991 | chapter=Non-positively curved triangles of groups | pages=491&ndash;903|isbn=981-02-0442-6}}
+==Notes==
+{{reflist}}
+== External links ==
+* {{MathGenealogy|id=452}}
+*[http://math.berkeley.edu/~stall/ home page] of John Stallings.
+*[http://www.ams.org/notices/200911/rtx091101410p.pdf Remembering John Stallings,] [[Notices of the American Mathematical Society]], vol. 56 (2009), no. 11, pp.&nbsp;1410&nbsp;1417
+{{Authority control|VIAF=93821690}}
+{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
+| NAME              = Stallings, John R. Jr.
+| ALTERNATIVE NAMES =
+| SHORT DESCRIPTION = American mathematician
+| DATE OF BIRTH     = July 22, 1935
+| PLACE OF BIRTH    = [[Morrilton, Arkansas]], [[United States]]
+| DATE OF DEATH     = November 24, 2008
+| PLACE OF DEATH    = [[Berkeley, California]], [[United States]]
+}}
+{{DEFAULTSORT:Stallings, John R. Jr.}}
+[[Category:1935 births]]
+[[Category:2008 deaths]]
+[[Category:American mathematicians]]
+[[Category:Group theorists]]
+[[Category:Topologists]]
+[[Category:20th-century mathematicians]]
+[[Category:21st-century mathematicians]]
+[[Category:University of Arkansas alumni]]
+[[Category:Princeton University alumni]]
+[[Category:University of California, Berkeley faculty]]