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and welcome to my wiki page! Here I will discuss plans for where I want to see wikipedia (specifically the maths pages) go in the future. My core belief about mathematics is that it should be absolutely democratized. By this, I mean anyone should be able to look up a topic, read the gist of what it
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If you see todo lists, or examples needed sections on the talk pages for a math wikipage there is a good chance that I put it up there. These notes are both there to remind myself of things I want to put on wikipedia while giving an open invitation to others for improve wikipedia in a directed
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Even
Grothendieck admitted later on in his life that the lack of examples and guiding intuition in mathematics is oppressive (although I cannot find the page where he said this, I think it was one hosted by Ronnie Brown).
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This is a section I will keep for organizing notes in different topics. Hopefully it will help guide others to learning material and improving wikipedia
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https://web.archive.org/web/20170929060614/https://alexandercoward.com/writing/2017/4/17/blowing-the-whistle-on-the-uc-berkeley-mathematics-department
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The moral of the story is that I want to see more mathematics openly explained on this site which includes a plethora of examples.
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Steenrod operations and quadratic forms (contains nice overview of intersection theoretic machinery using homological approach) -
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https://web.archive.org/web/20170921213130/https://www.ma.utexas.edu/users/rhughes/TopicsInD-modules.pdf
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equivariant cohomology with applications to computing the cohomology of orbifolds/DM-stacks
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I have a wish list of topics which I would like to see discussed on this site including
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computations with adams operations both on topological k-theory and algebraic k-theory
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resolutions of singularities and using them to compute intersection cohomology
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https://www.math.u-psud.fr/~illusie/Illusie-Grothendieck-nearby-cycles5.pdf
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There are several pages on wikipedia which need attention. This includes
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http://www.ulb.ac.be/sciences/ptm/pmif/Rencontres/lectures_sheaves.pdf
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http://www-personal.umich.edu/~takumim/HilbertandChernPolynomials.pdf
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https://www.math.leidenuniv.nl/scripties/MasterJavanpeykar.pdf
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chromatic homotopy theory (including the motivic version)
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http://www.mathematik.uni-muenchen.de/~haution/these.pdf
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http://www.numdam.org/article/ASENS_1973_4_6_4_521_0.pdf
223:computations with characteristic classes and GRR
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271:http://math.mit.edu/~dspivak/files/cech.pdf
226:mixed hodge modules/mixed hodge structures
44:Here are some pages that I've worked on
313:Hilbert Series + Chern Polynomials -
89:Hilbert series and Hilbert polynomial
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294:D-Braines, Sheaves and Categories -
256:Etale cohomology of number fields -
104:Atiyah–Hirzebruch spectral sequence
277:Constructible Sheaves/Hodge Theory
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269:Sheaves and homotopy theory -
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205:motivic spectral sequences
153:Semistable abelian variety
238:rational homotopy theory
217:brown peterson homology
54:Discrete valuation ring
24:get a sense of examples
178:Clifford module bundle
40:Pages I Have Worked On
229:more perverse sheaves
84:Primary decomposition
64:Deligne–Mumford stack
99:Borel–Moore homology
302:Intersection Theory
243:Papers, Notes, Etc.
79:Constructible sheaf
124:Pages Needing Help
114:Algebraic K-theory
109:Deformation theory
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251:Etale Cohomology
220:moduli of curves
211:spectral schemes
168:Sheaf cohomology
143:Lefschetz pencil
69:Regular sequence
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264:Homotopy Theory
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163:Derived functor
148:Abelian variety
133:Vanishing cycle
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59:Stable curve
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183:Heat kernel
49:Chern class
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194:Wish List
120:manner.
307:GRR -
17:Hello
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