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User:Charles Matthews

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This is an old revision of this page, as edited by Charles Matthews (talk | contribs) at 10:35, 19 March 2004. The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

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My current interest is go (board game) (for which see me at http://senseis.xmp.net/?CharlesMatthews - Wikipedians who have also played me at go include Matthew Woodcraft, Jitse Niesen and William Connolley=William Connolley), but I've been adding material here from a previous existence as a mathematician, on a hobby basis.

For reference: edits in the '1729' dispute:

Useful link: list of mathematical topics (lists), to find any maths stuff. Also

New pages of mine include:

Mathematics

Euler product - - Class field theory - Iwasawa theory - Rational function - Projective space - Projective geometry - Homogeneous co-ordinates - Incidence (mathematics) - Monomial - Tensor algebra - Symmetric function - Invariant theory - Algebraic variety - Dimension of an algebraic variety - Intersection number - Algebraic curve - Birational geometry - Italian school of algebraic geometry - Grothendieck's Séminaire de géométrie algébrique - Étale cohomology - Kähler manifold - Abelian variety - Arithmetic of abelian varieties - Local zeta-function - Algebraic group - Linear algebraic group - Flag manifold - Congruence subgroup - Weil restriction - Algebraic form - Riemann-Roch theorem - Line bundle - Serre duality - Moduli problem - Ramification - Commutative algebra - Radical of an ideal - Tensor product of fields - Tensor product of R-algebras - Separable polynomial - Separable extension - Grothendieck's Galois theory - Localization of a ring - Projective module - Elimination theory - Hypergeometric series - Sheaf - Locally ringed space - Local homeomorphism - Seifert-van Kampen theorem - Introduction to topos theory - Simplicial complex - Combinatorial topology - Characteristic class - Isometry - Affine geometry - Erlangen programme - Homogeneous space - Principal homogeneous space - Semisimple - Lie group decompositions - Integral geometry - Several complex variables - Value distribution theory of holomorphic functions - Weierstrass preparation theorem - K-theory - Cobordism - Geometry of numbers - Quadratic form - Multilinear algebra - Tensor field - Foliation - Diagonal - Free abelian group - Group ring - Group algebra - Regular representation - Induced representation - Free product - Partial fraction - Gauss lemma - Hodge conjecture - Mordell conjecture - Weil conjectures - L-function - Totally real number field - Analytic number theory - Diophantine approximation - Local analysis - Infinite descent - Effective results in number theory - Bieberbach conjecture - Existence theorem - Jordan normal form - Gelfand representation - Pontryagin duality - CW complex - Betti number - Morse theory - Braid theory - Atiyah-Singer index theorem - Hardy space - Maximal torus - Universal enveloping algebra - Contact (mathematics) - Monad (category theory) - Structure (category theory) - Fredholm integral equation - Isospectral - Rigged Hilbert space - Support - Cofinite topology - Finer topology - Index set - Formal system - Artin-Wedderburn theorem - Associated bundle - Operator norm - Brauer group - Closed and exact differential forms - Piecewise - Almost periodic function - Monodromy - Charts on SO(3) - Abelian and tauberian theorems - Symmetry of second derivatives - Substructural logic - Cyclic order - Moving frame - Homology theory - primitive element theorem - field norm - trivial representation - Gaussian period - Galois extension - field trace - pure mathematics - block matrix - conjugate element (field theory) - Dirichlet's unit theorem - Shift operator - Exponential sum - Fundamental domain - Logarithmic derivative - Localization of a module - Formal group law - Galois module - Inclusion (mathematics) - Real projective plane (spun out) - pullback - Projective line - Riemann-Hurwitz formula - Hodge theory - Poisson summation formula - algebraic torus - spectral theory - Solid geometry - Unit (ring theory) - cusp - Zariski tangent space - Group scheme - Pisot-Vijayaraghavan number - Transcendental curve - Schur's lemma - Hecke operator - Ankeny-Artin-Chowla congruence - Chebotarev's density theorem - Integral curve of a vector field

Mathematical biography

Mathematical listings

Glossary of tensor theory

Other

Three for a pig

To do

My missing links (to characteristic class):

A

Adams operations - algebraic surface- algebroid - abelian variety of CM-type - automorphic representation - Artin's approximation theorem - algebraic space - algebraic stack - arithmetic subgroup - Michael Artin

B

Brill-Noether theory - H.F. Baker - Borel subgroup

C

W.L. Chow- Guido Castelnuovo - classification of algebraic surfaces - cohomology theory - canonical divisor - canonical class - Chevalley group - coherent sheaf - classifying space -coherent sheaf - coherent duality - Eduard Čech - comonad - Crystalline cohomology

D

Jean Dieudonné - deformation theory - Differential Galois theory - derived category - Simon Donaldson

E

enumerative geometry - Federigo Enriques- étale morphism-Enriques - Ext functors

F

fixed-point theorems - Fubini-Study metric - Formal scheme - free product with amalgamation - flat cohomology

G

Galois cohomology - geometric invariant theory - Grothendieck duality - Grothendieck-Riemann-Roch theorem - Grothendieck category

H

Hasse-Weil L-function - Friedrich Hirzebruch - holomorphic line bundle - Hereditary ring - hyperfunction

I

Kenkichi Iwasawa - implicit function theorem - invertible sheaf

J

K

K3 surfaces - Kunihiko Kodaira - Dieter Kotschick - Kronecker Jügendtraum - Wilhelm Killing

L

line geometry - Lefschetz fixed point theorem -linear system of divisors - locally free module

M

Müntz-Szasz theorem - monomial representation - Molien series - Manin-Mumford conjecture - Ludwig Maurer - Mordell-Weil theorem

N

Max Noether - Newton polygon - Néron model

O

Ore condition - obstruction theory

P

p-adic L-functions - Poncelet - Puiseux expansion - parabolic subgroup - Emile Picard - Poincaré duality - pushout

Q

quadratic differential - Quillen-Suslin theorem - q-series

R

regular singularity - Ringed space

S

Severi - Steiner - symmetric algebra - symbolic method of invariant theory - Francesco Severi - Selmer group - Schubert calculus - Stiefel-Whitney class - Steenrod - Spectral sequence -

T

theta-divisor - Tate module - Tate-Shafarevich group - Tate-Néron height - Tate conjecture - tensor density

U

V

W

X

Y

Z

Notation park

≠

$f(x)=\sum _{r=0}^{n}a_{r}x^{r}$

$F(s)={\mathcal {L}}\ f(s)=\int _{0}^{\infty }e^{-st}f(t)\,dt.$

{\begin{pmatrix}1&4&2\\0&3&4\\0&0&1\\\end{pmatrix}}

$\otimes$ , $\wedge$ , $\Lambda ^{2}V^{*}$

$\varprojlim A_{i}$

$G=\bigcup _{w\in W}BwB$

${\bar {z}}$

\Gamma =SL(2,\mathbb {Z} ),\ {\overline {\Gamma }}=PSL(2,\mathbb {Z} )=SL(2,\mathbb {Z} )/\{\pm I\}

\vdash

\models

{\frac {d}{dx}}(uv)=\left({\frac {du}{dx}}\right)v+u\left({\frac {dv}{dx}}\right)

\prod _{i=1}^{N}x_{i}

Wikipedia links

Other internal links

List of themed timelines

To sort out...

• • • bullet = black small circle
… … … horizontal ellipsis = three dot leader
′ ′ ′ prime = minutes = feet
″ ″ ″ double prime = seconds = inches
‾ ‾
⁄ ⁄
← ↑ → ↓ ↔
√ ½
∂
∏ ∑
− ×
∞ ∞ ∞ infinity
∩ ∩ ∩ intersection = cap
∫ ∫ ∫ integral
≈ ≈ ≈ almost equal to = asymptotic to
≠ ≡ ≤ < ≥ >

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