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User:Charles Matthews/New - mathematics

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< User:Charles Matthews

Mathematics

Additions at end.

1-50

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

51-100

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

101-150

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)

151-200

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 - Complex multiplication

compact operator - Kummer theory - singularity theory - invertible sheaf - theory of equations - simplicial approximation theorem - barycentric subdivision - homology sphere - Integer-valued polynomial - invariant subspace

Nerve of an open covering - Kakeya needle problem - Borel subgroup - trigonometric polynomial - Szeméredi's theorem - Functional equation (L-function) - Tschirnhaus transformation - Chowla-Mordell theorem - Chowla-Selberg formula - Class number problem for imaginary quadratic fields

Sato-Tate conjecture - algebraic K-theory - Brill-Noether theory - Coherent sheaf - Kähler differential - Schinzel's hypothesis H - Cesàro mean - Kronecker's theorem - Duality (mathematics) - cusp form

201-250

localization of a category - Sobolev space - Hadamard's inequality - Cartan's theorem - Cartan's theorems A and B - geometric topology - Cousin problems - Littlewood conjecture - Algebraic geometry and analytic geometry - Arithmetic group

Mumford conjecture - Mahler's compactness theorem - Fixed point theorems in infinite-dimensional spaces - Differential geometry of curves - Adjoint - Transfer (group theory) - Algebraic surface - Positive-definite function - Mordell-Weil theorem - Cubic curve

Euclidean group - Symmetric algebra - Infinitesimal transformation - Fundamental class - Local classfield theory - modular curve - Artin conjecture - Hilbert-Smith conjecture - Stefan problem - Deformation theory

Deligne conjecture - Borel-Bott-Weil theorem - Tarski monster group - Ample vector bundle - canonical bundle - compact group - Boolean function - hat problem - one-parameter group - Complexification

Lyusternik-Schnirelmann category - Hurwitz quaternion - Mac Lane's planarity criterion - Bott periodicity theorem - Automorphic form - Ramanujan-Peterssen conjecture - Thue-Siegel-Roth theorem - Projective Hilbert space - Clifford-Klein form - Fermat curve

251-300

Hodge cycle - Semistable elliptic curve - Sard's lemma - Künneth theorem - Dinitz conjecture - Sparsity - functional calculus - minimal counterexample - Lie subgroup - Addition theorem

Algebraic function - Whitehead theorem - Combinatorial group theory - Selberg trace formula - Ehresmann's theorem - Blaschke product - Singular point of an algebraic variety - star refinement - double coset - derived category

Lindenbaum-Tarski algebra - Codimension - Universal coefficient theorem - Class function - Dirac measure - special functions - Morava K-theory - Spectrum (homotopy theory) - Euler system - sheaf spanned by global sections

sheaf cohomology - categorical logic - Hilbert-Speiser theorem - Total differential equation - Brown's representability theorem - identity component - biorthogonal system - difference of two squares - Homotopy groups of spheres - Modular representation theory

Multiplicative group - Galois cohomology - order (ring theory) - exotic sphere - Dedekind zeta function - Weil pairing - Abelian variety of CM-type - Abelian integral - Differential of the first kind - Signature (topology)

300-350

Transcendence theory - Hasse-Weil zeta function - adelic algebraic group - Zero matrix - Quadratic residuosity problem - Linear system of divisors - Block design - Splitting of prime ideals in Galois extensions - Jacobian conjecture - Signature (universal algebra)

Gluing axiom - cohomology operation - Adams operation - Projective differential geometry - Hodge index theorem - Moment problem - Ideal theory - Pseudogroup - interactive theorem proving - Function of a real variable

Quasiprojective variety - maximal subgroup - maximal compact subgroup - Hardy-Littlewood circle method - Todd class - Unitarian trick - Veronese surface - Segre embedding - Geometric invariant theory - Quasisimple group

Severi-Brauer variety - Group of Lie type - unipotent element - regular function - Albanese variety - Grothendieck's relative point of view - coherent duality - natural density - fundamental solution - compact Riemann surface

linear code - pluricanonical ring - exponential sheaf sequence- Goppa code - Max Noether's theorem - Eisenstein's theorem - Arithmetic genus - Hilbert's irreducibility theorem - Siegel zero - large sieve

351-400

Littlewood-Offord problem - Meyer's theorem - Explicit formulae - augmentation ideal - Freiman's theorem - generalized arithmetic progression - Different ideal - Fröhlicher spectral sequence - Puiseux expansion

Bitangent - Birational invariant - Faithful representation - Irreducible component - Quasi-invariant measure - Quasiconformal mapping - Dirichlet's approximation theorem - Artin L-function - Degree of an algebraic variety - Quaternion algebra

Lefschetz pencil - Complex dimension - Monomial representation - Quaternionic projective space - HNN extension - Hirzebruch-Riemann-Roch theorem - Kurosh problem - topological K-theory - Model category - Milnor conjecture

tautological bundle - quasi-algebraic closure - Chevalley-Warning theorem - Blattner's conjecture - Weil reciprocity law - N-skeleton - Pair of spaces - Hartogs number - Hartogs' lemma - Hartogs' theorem

Clifford's theorem - Minkowski-Hlawka theorem - Character sum - Kodaira embedding theorem - Kodaira vanishing theorem - Kloosterman sum - Kuiper's theorem - Zolotarev's lemma - Absolute Galois group - Branched covering

401-450

Torelli theorem - Noether normalization lemma - Deligne-Mumford moduli space of curves - Riemann-Roch theorem for smooth manifolds - Gelfand pair - Formal moduli - generalized Jacobian - Hasse-Witt matrix - diagonal form - Weil conjecture on Tamagawa numbers

Generic point - moduli scheme - Bateman Manuscript Project - Algebraic set - Schubert calculus - Enumerative geometry - Serre spectral sequence - Seshadri constant - Fujita conjecture - Approximation in algebraic groups

Castelnuovo-de Franchis theorem - De Franchis theorem - Noether's theorem on rationality for surfaces - Tate module - Gonality of an algebraic curve - Köthe conjecture - Ruziewicz problem - Ore condition - Quasi-regular representation - Vector fields on spheres

Parallelizable manifold - Stunted projective space - Spanier-Whitehead duality - Alexander duality - Reduced homology - Geometric genus - Bockstein homomorphism - Complete intersection - Adjunction formula (algebraic geometry) - Weierstrass point

Tate conjecture - Azumaya algebra - Plücker formula - Vector bundles on algebraic curves - Nakai conjecture - Zariski geometry - Theta-divisor - Grothendieck-Katz p-curvature conjecture - Principal ideal theorem

451-500

Symmetric products of algebraic curves - Glossary of arithmetic and Diophantine geometry - Jacobi sum - Thin set (Serre) - Belyi's theorem - intersection theory - Hecke character - Regular singular point - Free Lie algebra - Tubular neighborhood

Methoden der mathematischen Physik - Müntz–Szász theorem - F. and M. Riesz theorem - Fekete polynomial - Local cohomology - Schwarz reflection principle - Stationary phase approximation - Coadjoint representation - Landau prime ideal theorem - Molien series

Ado's theorem - D-module - Lefschetz hyperplane theorem - local coefficients - Atiyah–Bott fixed-point theorem - constant curvature - Choquet theory - Continuous symmetry - Bochner integral - Biquadratic field

Eisenstein ideal - Abhyankar's conjecture - Siegel's theorem on integral points - Chiral Potts curve - Constant coefficients - Wiener's tauberian theorem - Prym variety - Schottky problem - Union-closed sets conjecture - Smith conjecture

Adams spectral sequence - Oppenheim conjecture - Fulton-Hansen connectedness theorem - Non-associative algebra - Hilbert scheme - Leray spectral sequence - Atiyah-Hirzebruch spectral sequence - Arithmetic and geometric Frobenius - Equations defining abelian varieties - theorem of the cube

501-550

absolutely irreducible - dual abelian variety - Poincaré residue - Marshall Hall's conjecture - Fondements de la Géometrie Algébrique - plugging in (algebra) - Borel conjecture - Theta characteristic‎ - Interchange of limiting operations - Pfister form

Norm variety - discrete series representation - tannakian category - real algebraic geometry - Weil's criterion - Non-commutative harmonic analysis - Atkin-Lehner theory - Brauer-Siegel theorem - Nested intervals - Beckman-Quarles theorem

Schwartz kernel theorem - Chabauty topology - Goldie's theorem - Non-abelian class field theory - infinitely near point - Algebraic differential equation - algebraic cycle - flat topology - Principal series representation - Lie's third theorem

Matrix coefficient - K-finite - Solvable Lie algebra - Weyl differintegral - Semialgebraic set - Sullivan conjecture - Homogeneous coordinate ring - Special values of L-functions - Polynomial identity ring - Purity (algebraic geometry) - Norm residue isomorphism theorem

Tensor software (split out) - Superrigidity - anabelian geometry - Norm residue isomorphism theorem - Mumford–Tate group - Ground field - diophantine geometry - Subanalytic set - Ravenel conjectures - Superstrong approximation

551–

Grothendieck's Tôhoku paper - timeline of bordism - nilsequence

Mathematical biography

A

Abraham bar Hiyya Ha-Nasi - Giacomo Albanese - Dmitri Victorovich Anosov - Emil Artin

B

Thomas Barker (mathematician) - Abram Samoilovitch Besicovitch - David Benney - Enrico Betti - G. D. Birkhoff - Salomon Bochner - James Booth (mathematician) - Armand Borel - Raoul Bott - William Braikenridge - Thomas Branker

C

Lennart Carleson - Élie Cartan - Henri Cartan - Claude Chevalley - Shiing-Shen Chern - Wei-Liang Chow - Alexis Claude Clairaut - Gilbert Clerke - Stephan Cohn-Vossen - Gabriel Cramer

D

Harold Davenport - Richard Delamaine - Pierre Deligne - Leonard Eugene Dickson - Jean Dieudonné - Bernard Dwork

E

Federigo Enriques

F

Luigi Fantappiè - Samuel Foster - Hillel Furstenberg

G

Thomas Gaskin - Israel Moiseevich Gel'fand - Henry Gellibrand - Albert Girard - James Whitbread Lee Glaisher - Lucien Godeaux - Roger Godement - Ferdinand Gonseth - I. J. Good - Edouard Goursat - Hans Grauert - Mikhail Gromov - Michael J. T. Guy‎

H

Hugo Hadwiger - George Henri Halphen - John Hammersley - Harish-Chandra - Robert Harley (mathematician) - Friedrich Hartogs - Helmut Hasse - Percy John Heawood - Kurt Hensel - Friedrich Hirzebruch - E. W. Hobson - W. V. D. Hodge - Thomas Hood (mathematician) - Ehud Hrushovski - Adolf Hurwitz

J

François Jacquier - Vaughan Jones - Camille Jordan - Philip Jourdain

K

Erich Kähler - David Kazhdan - Ott-Heinrich Keller - - John Kersey the elder - Thomas Kirkman - Kunihiko Kodaira - Mark Grigoryevich Krein - Aleksandr Gennadievich Kurosh

L

Solomon Lefschetz - Jean Leray - Rudolf Lipschitz - Thomas Lydiat

M

Ian G. Macdonald - George Mackey - Szolem Mandelbrojt - Yuri Ivanovitch Manin - Grigory Margulis - William S. Massey - Stefan Mazurkiewicz - J. C. P. Miller - R. L. Moore - Louis Mordell - Henry Moseley (mathematician) - Thomas Muir - David Mumford - Herman Müntz

N

Masayoshi Nagata - William Neile - Louis Nirenberg - Sergei Petrovich Novikov

O

P

Johann Friedrich Pfaff - Subbayya Sivasankaranarayana Pillai - Lev Semenovich Pontryagin - René de Possel - Ilya Piatetski-Shapiro

R

Johann Radon - Georges de Rham - Jacopo Riccati - Laurence Rooke - J. Barkley Rosser - Vladimir Abramovich Rokhlin - Edward Routh

S

Pierre Samuel - Mikio Sato - Richard Sault - Oscar Schlömilch - Igor Shafarevich - Jerzy Słupecki - George Sinclair (professor) - Paul A. Smith - Donald C. Spencer - Dennis Sullivan - Peter Ludwig Mejdell Sylow

T

John Tate - John Arthur Todd - Nathaniel Torporley

V

Alexandre-Théophile Vandermonde - Adriaan van Roomen

W

Walter Warner - G. N. Watson - Joseph Wedderburn - Wendelin Werner - J. H. C. Whitehead - Hassler Whitney - E. T. Whittaker - Robert Wood (mathematician)

Z

Oscar Zariski - Efim Zelmanov

Mathematical listings

Other somewhat mathematical

Physics

History of mathematics

Hobbes-Wallis controversy (split to rewrite)

History of logic

Logica Nova

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