# User:TakuyaMurata

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## Drafts

- /Gauge group
- /Białynicki-Birula decomposition
- /S-construction
- /Toological Hochschild homology
- /Hamiltonian group action

## Me!

**Ethnicity**: Japanese**Degree**: Master's degree in mathematics from Hokkaido University**Belief**: Axiom of Global Choice^{[1]}**Hobby**: Wikipedia, designing a programming language, Go

## To do

- Expand Augustin Louis Cauchy by translating the French version.
- Cite a strengthened form of Hartogs extension theorem from Demailly.
- Add a proof to the Borel fixed-point theorem from Milne's notes.
- Create geometric property
- Main theorem of elimination theory
- add http://math.stanford.edu/~vakil/02-245/sclass18A.pdf to Stein factorization.
- Incoroporate examples from http://www.claymath.org/programs/summer_school/2012/villamayorWS3.pdf, http://www.math.purdue.edu/~heinzer/teaching/math557/gdown.pdf
- Translate de:Alexei Nikolajewitsch Parschin
- Finish User:TakuyaMurata/Moduli stack of formal group laws
- Create flat degeneration
- Atiyah duality [1]
- Hom-stack (just rough definition)
- Homotopy coherence (apparently missing)
- Chromatic convergence theorem
- Incorporate stuff from http://www.math.ku.dk/~jg/homotopical2008/goerss.lec2.pdf to derived scheme
- Stack of twisted forms (gerbe)
- Incorporate examples at [2] into Bousfield localization.
- Translate de:Lester Randolph Ford Award (a great source for red links.)
- de:Robert Gompf, de:Edgar H. Brown
- Spherical fibration [3]
- Equivariant stable homotopy theory [4] (discuss a connection to algebraic K-theory)
- Spectrum of units
- Differential cohomology
- Homological descent [5]
- ramification scheme (check a possible redirect)
- Check http://www.ms.uky.edu/~guillou/algKthyII.pdf for anything interesting
- Pseudofunctor
- http://arxiv.org/pdf/0801.4733v1.pdf
- Characteristic classes for GO(2n) in ́etale cohomology
- http://www.math.northwestern.edu/~konter/Stacks%20traceformula.pdf
- The Yang-Mills Equations over Riemann Surfaces
- Hilbert–Kunz function

## Reading list

Popular:

- English Wikipedia and Japanese Wikipedia (mostly about math, high-energy physics, Japanese pop-culture and American TV shows)
*Do Androids Dream of Electric Sheep?*by PKD*The Minority Report*by PKD- Richard Condon
*Legend of the Galactic Heroes**Megatokyo**2channel**Here Comes Everybody*by Clay Shirky*The Shallows*by Nicholas G. Carr*Hoshin Engi**1984**1Q84**Enduring Love*by Ian McEwan*L'Eve future**Jane Eyre**Mansfield Park*- Virginia Woolf
*The Bell Curve**The Structure of Scientific Revolutions**The Logic of Scientific Discovery**The Elegant Universe**The Emperor's New Mind**Critique of Pure Reason*- Ludwig Wittgenstein
*s:The Tragedy of Hamlet, Prince of Denmark**s:The Tragedy of Romeo and Juliet**s:The Tragedy of Macbeth*

Math:

- Bourbaki, Éléments de mathématique
- Milne, http://www.jmilne.org/math/CourseNotes/index.html
- W.Rudin, Functional Analysis, 2nd ed.
- L.Hörmander, An introduction to complex analysis in several variables, 3rd ed.
- http://iml.univ-mrs.fr/~wasserm/
- http://www.math.tau.ac.il/~bernstei/courses/2008%20spring/D-Modules_and_applications/dma-index.html
- Kostant, Lie group representations on polynomial rings
- Kostant, A Formula For the Multiplicity of a Weight (some stuff in the paper should appear in tensor product of irreducible representations)
- P. L. Clark, Commutative algebra
- Commutative algebra
- Introduction to compact transformation groups
- J. Ross, R. P. Thomas, A study of the Hilbert-Mumford criterion for the stability of projective varieties
- http://www.math.umn.edu/~taipale/deftheorypersonal.pdf
- https://www.math.uzh.ch/index.php?file&key1=22003
- 3264 & all that
- http://math.bu.edu/people/jsweinst/
- G. Segal, Classifying spaces and spectral sequences, I.H.E.S. no.68 (1968) 105-112.

Physics:

Blogs (what else do people read?):

- Luboš Motl's reference frame [8]
- http://geomblog.blogspot.com/
- Climbing Mount Bourbaki (my most favorite blog)

### Essays

- Template:Cite web
- Template:Cite web
- Template:Cite web
- {{#invoke:Citation/CS1|citation

|CitationClass=journal }}

- Template:Cite web
- Template:Cite web
- Template:Cite web - this is something our Wikipedia article doesn't discuss. (via User:Linas#What.27s_wrong_with_WP.3F)
- http://www.fim.math.ethz.ch/preprints/2005/eckmann.pdf

## Music

- Carl Nielsen
- Capsule (To a lesser degree, Perfume)
- Shiina Ringo (Obviously)
- Chopin
- Phoenix
- Girls' Generation

## Notes

- ↑ I have not made up my mind about the existence of strongly inaccessible cardinal.

### Boilerplate

{{WikiProject Japan|class=Stub}} {{WPBiography|class=Stub|priority=Low|living=yes}} {{OpenHistory talk}}

### Links

- http://glin.jp/
- http://tools.wikimedia.de/~gmaxwell/cgi-bin/enwiki_cattersect.py - a great tool
- The (Not So) Short Introduction to LaTeX2e - (has everything I need to know)
- User:Badagnani has useful links at the bottom of the page
- http://jekai.org/index.htm - a Japanese-English dictionary project

### Scripts

perl -e 'for(0..999) {my $text = `curl -L "en.wikipedia.org/wiki/Special:Random"`; $count++ if $text =~ /