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Revision as of 19:10, 2 August 2013
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Abstract algebra
- Almost ring
- Arason invariant
- Template:Req /Symmetric range -
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- Brauer–Long group -
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- Clifford bimodule
- Cohen structure theorem (currently a redirect)
- Conic algebra (not the algebra of conic sections)
- Template:Req (as mentioned in Cubic form)
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- determinant module
- Discriminant algebra
- Template:Req (needs to be defined and explained in brief detail) -
- elliptic algebra
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- Étale algebra (currently redirects to Étale morphism which does not define it)
- Factorizable algebra
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- Framing principle
- Freudenthal algebra
- Functional dimension
- Galois approximation
- GE-ring
- Grassmann envelope
- Greenberg algebra
- Greither order -
- Group valuation (not the same as Valuation group) -
- H-ring, currently a redirect
- Hasse derivative
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- Hilbert characteristic function
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- Ideal lattice -
- Initial ideal
- Jordan superalgebra - currently a redirect
- κ-algebra, κ-structure
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- Koszul duality
- Kronecker function ring
- Larson order -
- Linearised polynomial
- Mixed discriminant
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- Morita context -
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- Mutation algebra
- Okubo algebra
- Oort embedding theorem
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- Para-Hurwitz algebra
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- principle of specialization of integral dependence
- Quadratic-linear algebra
- Quasiassociative algebra
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- Pseudo-octonion algebra
- Regular basis
- Template:Req (interpolation property in an ordered abelian group, mentioned in approximately finite dimensional C*-algebra; weakly unperforated, a related property with ordered abelian semigroups, is listed below)-
- Template:Req (math structure in which div and mul are same operation, should have nice de Moivre complex exponential change in div mul phase?!)
- Samuel's conjecture
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- Simplicial commutative algebra (cf. a chapter in )
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- Skolem ring -
- Tate–Oort algebra -
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- Vacuum module
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Algebraic geometry
- ALE surface
- argument shift method
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- Chow quotient
- Chow regularity theorem
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- Conical curve (note that this is not the same as conic section)
- Convergent cohomology, convergent topos
- Cox ring
- Deligne pairing
- Derived algebraic geometry
- Derived stack (a la Toen?)
- Drinfeld compactification
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- Formal quantization
- Futaki invariant
- Gabber rigidity theorem
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- Gersten's conjecture
- Harder–Narasimhan filtration
- Hodge stack
- Hom-stack
- Impose independent conditions
- Incidence variety
- Iwahori's theorem
- Kawasaki’s Riemann–Roch formula
- Kodaira lemma
- Kontsevich moduli stack
- Koszul cohomology
- Kuga–Satake abelian variety
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- Logarithmic differential operator
- Luna–Vust theory
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- Mori’s bend and break argument (cf. )
- Mumford relations
- Noether–Lefschetz number
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- Parabolic Higgs bundle
- Perfect obstruction theory
- Postulation (algebraic geometry)
- Procesi bundle
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- Pursuing Stacks
- q-expansion principle
- Quasiparabolic bundle, Quasiparabolic homomorphism
- Quot scheme
- Radiciel morphism
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- Relative quantization
- Serre's invariant
- Semiabelian variety (currently a redirect)
- Skoda's theorem on ideal generation (perhaps a redirect)
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- Sommese vanishing theorem
- Spaltenstein variety
- Speciality function -
- Structure morphism
- Triangle midsegment theorem
- Template:Req (paper 2008 Simon Jackson commutative representation of Quantum Mechanics?) - also listed under "Differential geometry and topology" and under "Geometry".
Algorithm
Applied mathematics
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- Mathematical genomics -
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- Rational mechanics - (currently redirects to Classical mechanics which does not mention the phrase)
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Approximation theory
Arithmetic geometry
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- Automorphic vector bundle - the notion due to Milne?
- Capacity pairing
- Dieudonné–Manin classification
- Finiteness theorem of Faltings
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- Horizontal divisor
- Shimura–Shintani–Waldspurger correspondence
Calculus of variations
Category theory
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- Template:Req s - higher dimensional algebra
- Template:Req (Opposite functor)
- Doctrine (category theory) (cf. http://ncatlab.org/nlab/show/doctrine)
- Effaceable functor -
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- Linear functor
- Template:Req - Łukasiewicz-Moisil logic algebra
- Loop category
- Łukasiewicz–Moisil algebraic logic - LM-algebra
- Mal'cev category -
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- Protomodular category -
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- Template:Req (with redirect from Semiabelian category)
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- Template:Req - higher dimensional algebra
- Template:Req / Yoneda Ext / Yoneda Ext-algebra / Yoneda Ext algebra (cf. Ext-algebra)
Coding theory
Combinatorics
- Algebraic matroid (currently a redirect)
- Christoffel word
- Coxeter matroid
- Davenport constant
- Dittert conjecture -
- Gowers' dichotomy
- Gowers norm
- List of q-analogs
- MacMahon squares
- Magnetic tower of Hanoi ;
- Moufang set
- Ray-Chaudhuri–Wilson theorem about set intersections
- Semimodular function
- Terminal series
- Tits cone
- Toeplitz word
- Tutte homotopy theorem
- Bilinear generating function
Complex analysis
- Template:Req (currently redirects to Argument principle; for the subject matter see Whittaker & Watson, p. 145; Plana's theorem should redirect to the new article)
- Bernstein–Walsh lemma
- Bochner–Kodaira formula
- Template:Req (currently redirects to Boettcher equation, the correct spelling of the name is Böttcher)
- Equilibrium measure -
- Fabry's gap theorem -
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- Koebe function currently a redirect
- (Louis) Brands Formula
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- Natural coordinate system
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- Polysign numbers
- Proper mapping theorem
- Recursive filter (IIR) float accuracy problem
- Schlicht function currently a redirect
- Siu's semicontinuity theorem
- Template:Req Already defined in Differential operator
- Template:Req as corresponding to Z transforms as used in control engineering
Complexity theory
Convex analysis / Optimization
- Template:Req / Conjugate gradient with barriers (how does the barrier effects the conjugate gradient solution) -
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- Template:Req also known as POCS. See summary in PDF
- Template:Req (see same reference as for POCS)
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Cryptography
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- Template:Req - see paper and glossary (further docs available in 'broadband bundle')
Deformation theory
Differential equations
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- Majda's model
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- quantum differential equation
- Template:Req, a technique for solving boundary value problems, e.g.,
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- Universal limit theorem -
Differential geometry and topology
- Atiyah–Hitchin–Singer theorem -
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- Casson–Donaldson invariant
- clean intersection
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- Formality conjecture
- geometric Satake correspondence
- Gromov’s precompactness theorem
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- Groenewold–van Hove's no go theorem (maybe redirect)
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- Hamilton's tensor maximum principle -
- Heat equation proof of the Atiyah–Singer index theorem
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- Metric measure space
- Mukai vector
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- Newstead–Ramanan conjecture
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- Pfaffian line bundle
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- Template:Req and Template:Req (with redirects from Hadamard's partie finie, *Hadamard's finite part) -
- quantum knot
- quantum tangle
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- Reshetikhin–Turaev tangle calculus
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- Tits metric
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- Template:Req (paper 2008 Simon Jackson commutative representation of Quantum Mechanics?) - also listed under "Algebraic geometry" and under "Geometry".
- Weyl's theorem on invariants (cf. )
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Dynamical systems
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- Template:Req (reference to Casimir effect through Evgeny Lifshitz?)
- Period-doubling monoid - currently redirects to De Rham curve#Properties
- Denef–Loeser zeta function or topological zeta function
- Topological pressure
actions; see Elementary arithmetic
1+1(Elementary arithmetic)(ja:1+1)
Functional analysis
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- Template:Req (see e.g. Cwikel et al., On the fundamental lemma of interpolation theory, J. Approx. Theory 60 (1990) 70–82) -
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- Kac–Takesaki operator
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- Template:Req (stating that a *-homomorphism, from a C*-algebra into a quotient has a completely positive lift if the *-homomorhism is nuclear, in particular when the C*-algebra is nuclear.)
- Template:Req (stating that if the image a representation of a concrete C*-algebra does not contain any compact operators, then, up to unitary equivalence modulo the compacts, it is absorbed by the identity representation as a direct summand.)
- Template:Req (classification of essentially normal operators by their essential spectrum and Fredholm index; introduces also a K-homology, a homology theory on topological spaces defined using C*-extensions.)
- Template:Req (abstract characterization of operator systems, plays the same role as the GNS theorem for C*-algebras.)
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Field theory
- Baer–Krull correspondence -
- Locality (field) -
- Pasch field -
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- Ramification pairing -
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Galois theory
- Automorphic Galois representation
- Class invariant homomorphism (due to Waterhouse)
- Tate–Nakayama duality -
Game theory
- Template:Req (a "lesser" state of Common knowledge (logic) A is a Mutual Knowledge of agents C if all C knows A)
- Template:Req (MSA)
- Template:Req (by Sandler)
Geometry
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- Template:Req, a method of constructing constructible polygons.
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- Template:Req 00:31, 17 March 2011 (UTC)
- Cut-and-project -
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- Geometric figures or List of common geometric figures. As it is, I can't find the names of some simple figures. I shouldn't have to go searching and searching in "polygons" and "curvilinear figures" and "three-dimensional figures." A simple list or table with illustrations and either short descriptions or wikipedia links would be fine. I'm not looking for some complicated technically correct dense mathematical discussion, just a way to find out the basics.
- Geometric triality, briefly mentioned at triality but a different concept
- Haruki's lemma
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- Mixed geometry
- Model set (cf Harmonious set)
- Template:Req, apparently invented by Jack Cole (scientist) – also listing at Requested articles/Applied arts and sciences/Computer science
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- Quasilattice
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- Template:Req http://mathworld.wolfram.com/StevanovicCircle.html
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- Template:Req (see , should probably be a redirect)
- Template:Req (paper 2008 Simon Jackson commutative representation of Quantum Mechanics?) - also listed under "Algebraic geometry" and under "Differential geometry and topology".
- Template:Req (fractal geometry)
- Template:Req, an extremely useful result in euclidean geometry, simplifying many problems.
Graph theory
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- Template:Req (extension to Petri net)
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- Template:Req / Tree metric
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Group theory
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- congruence subgroup property
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- Melnikov group
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- Reidemeister–Schreier rewriting process
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- Template:Req (should be in Geometry of field planes)
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Harmonic analysis
History of mathematics and other cultural aspects
- Template:Req - gives the basic numbering -but how do you do multiplication, division etc? —
- Template:Req (Renfrey Potts was awarded the first ANZIAM medal) - DONE - i dont know if i should remove this from here or not please let me know Jsarmour (talk) 20:57, 18 July 2012 (UTC) (yes i know im not suposed to sign non talk pages)
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History of mathematics Journals
- Gaṇita Bhāratī
- Revista Brasileira de História da Matemática
- Journal of the British Society for the History of Mathematics
- see 1
Homological algebra
- Action cocycle -
- Amitsur complex -
- Bousfield localization
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- Dwyer–Kan localization
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- Sweedler cocycle -
Integrable systems
K theory
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- Arithmetic K-theory
- Beilinson regulator
- Template:Req of Higson and Connes, e.g., Equivariant E-theory for C*-algebras
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- Levine's localisation theorem
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- Parshin’s conjecture
- Quillen’s localization theorem
- (equivariant) Tamagawa number conjecture (currently a redirect)
Lie groups, Algebraic groups / Lie algebras
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- Borel density theorem
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- Cartan–Iwahori decomposition
- Casimir connection
- Chevalley–Eilenberg complex
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- Deligne groupoid
- Dixmier mapping
- Dynkin’s π-system
- Formality theorem
- Kac diagram
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- Kostant section
- Kostant–Weierstrass slice
- Lacing number
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- Lie-* algebra
- Motivic Lie algebra
- Olshanskii semigroup
- p-adic Lie group (currently a redirect, gets half a sentence) -
- Polar representation
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- Quasisplit reductive group
- Racah-Wigner algebra -
- Racah's multiplicity formula -
- Slodowy slice
- θ-group
- Uhlenbeck space
- Wakimoto module
- z-extension
Linear algebra
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- Horn's conjecture (on Hermitian matrices proved by Tao) -
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- Nazarova–Roiter algorithm -
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Mathematical analysis
- Beilinson–Bernstein localization
- Bernstein–Walsh theorem -
- Cauchy's estimate (currently redirected to *Taylor's theorem)
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- Template:Req (in the sense, for example, a Stein manifold admits an plurisubharmonic exhaustion function) -
- Friedrichs' lemma
- Glaeser's theorem
- Lagrangian distribution
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- Walsh–Lebesgue theorem -
- Whittaker–Watson formula
Mathematics education
- Template:Req - Theory of didactical situations - Ubiratan D'Ambrósio - Jeremy Kilpatrick - ICMI Awards - **Template:Req - Didactic engineering - Raymond Duval
Mathematical logic
 | Requests for articles about mathematical logic are on a separate page, and should be added there. |
Mathematical physics
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- Sugawara construction
- STU model
- Uhlenbeck's weak compactness theorem
Mathematicians
Prior to creating an article, any biographical details can be added to: Misplaced Pages:WikiProject Mathematics/missing mathematicians.
A–G
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- Désiré André (Société Mathématique de France, 1872–1916, President 1889, d. 1917)
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- Template:Req , Oberwolfach director 1963-1994
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- Adi Ben-Israel
- Carl August Adolph Gauss
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- Boettcher, Lucian Emil (see remark under Boettcher equation, the correct spelling of the name is Böttcher)
- Bol, Gerrit
- Boyarchenko, Mitya
- Brenier, Yann
- Burns, David (the mathematician)
- Candelas, Philip (see Rouse Ball Professor of Mathematics)
- Chakerian, Gulbank Don (USA)
- Clozel, Laurent
- Cobb, Charles (article is presumably about a different Charles Cobb)
- Cottle, Dick American mathematician at Stanford University.
- Cuntz, Joachim (see de:Joachim Cuntz)
- Duncan, John (the mathematician)
- Dunfield, Nathan
- Edixhoven, Bas
- William N. Everitt – William Everitt – mathematician
- Faddeev, Dmitrii Konstantinovich
- Jonathan David Farley
- Felder, Giovanni
- Feng, Zuming
- James F. Glazebrook
- Filippov, Aleksei Fedorovich
- Flammenkamp, Achim home page
- Franel, J. (France – 19th century–20th century)
- Fuks, Dmitry (Fuchs)
- Gabber, Ofer (de:Ofer Gabber)
- Template:Req – physicist, mathematician
- Gelfand, Sergei
- Gompf, Robert
- Goundar Rajaram
- Grabowski, Janusz
- Gratzer, George
- Gras, Georges
- Georges Glaeser – French mathematician (1918–2002)
H–N
- Hashiguchi, Kosaburo
- Haynes, Martha Euphemia Lofton
- Heintze, Ernst
- Hida, Haruzo
- Hildebrandt, Theophil Henry (T. H.)
- Hirsch, Warren author of the Hirsch conjecture,
- Helmut Hofer, a founder of symplectic topology, IAS announcement – he's not this same-named Helmut Hofer
- Hofmann, Steven (or Steven Hoffman?)
- Isaacs, I. Martin
- Jaffard, Paul
- Jannsen, Uwe
- Jarvis, Frazer
- Katsevich, Gene
- Kaull, Donald
- Kelley, Kyle
- Khovanski, Askold G.
- Kim, Myung-hwan
- Kings, Guido
- Muhammad ibn Muhammad al-Fullani al-Kishnawi
- Knoer, Alvin
- Knus, Max-Albert (algebraist)
- Kominers, Scott Duke
- Kreyszig, Herbert
- Langberg, Valerie
- Lansey, Jonathan
- Legnani, Tom
- Linderholm, Carl
- Liu, Qing (the mathematician)
- Lockhart, Paul (mathematical educator)
- Luca, Florian web page at UNAM
- Mandel, Stefan Romanian, ran a "lotto syndicate" that bought out the Virginia lottery in the 90s
- Mircea M. Marinescu - physicist
- Template:Req (a group at Cambridge University)
- Matsumura, Hideyuki
- Michal, Aristotle
- Milne, James
- Mochizuki, Shinichi
- Mukai Shigeru
- Nicoara, Andreea C.
- Norden, Aleksandr Petrovich
O–Z
- Olver, Peter J.
- O'Nan, Michael
- Pang, Jong-Shi – Prize-winning American mathematician at University of Illinois.
- Pimenov, Revolt Ivanovich
- Prabhakar, Tilak Raj
- Puppe, Dieter
- Quadling, Douglas
- Rickert, John
- Roquette, Peter
- Ross, Kenneth A. – wrote Abstract Harmonic Analysis with Edwin Hewitt
- Ross, Sheldon
- Saito, Shuji
- Sato, Kanemoto
- Schapira, Pierre
- Schedler, Travis
- Seitz, Enoch Beery – 1846–1883, member of London Mathematical Society, Chair of Mathematics at Truman State University
- Sendova, Eugenia
- Shult, Ernest
- Skinner, Christopher (Princeton University)
- Sobel, Irwin (Sobel operator, HP Labs researcher)
- Template:Req (Russian, Ph.D. 1930 University of Wisconsin, ended career teaching at U.C.L.A)
- Stein, Sherman K.
- Stone, Lawrence D.
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- Szamuely, Tamás
- Tamagawa, Akio
- Garret N. Vanderplaats – active in optimization, winner of Wright Brothers Medal
- Venjakob, Otmar
- Verma, Sudarshan
- Villareal, Federico
- Vilonen, Kari
- Template:Req – Vasiliy Vladimirov – mathematician
- Weibel, Charles
- Wheeler, Mary F.
- Willis, George (see Totally disconnected group)
- Eduard Wirsing
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Matrices
- Template:Req - for the eigenvalues of a non-symmetric real matrix
- Template:Req in describing the columns or rows of a matrix
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- Template:Req in random matrix theory.
Measure theory
Noncommutative geometry
Number theory
Recreational number theory
Elementary number theory
- Highly powerful number
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- Prime-generating polynomial — currently redirects to Formula for primes#Prime formulas and polynomial functions
Algebraic number theory
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- Bayer–Neukirch theorem -
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- Capitulation kernel
- Chinburg invariant
- Coleman power series -
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- Hermite–Minkowski theorem -
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- Hopf order
- Kato–Swan conductor
- Liardet's theorem -
- Leopoldt's Spiegelungssatz (*Leopoldt reflection theorem) -
- Masley's theorem
- Microprime -
- Neukirch–Uchida–Pop theorem -
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- Noether conductor
- p-adic modular form -
- Pólya field -
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- Sen's theorem -
- Shintani's unit theorem -
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- Tame kernel, Wild kernel (also called Hilbert kernel)
- Tautological class field theory
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- Mazur's control theorem -
Analytic number theory
- Barban–Davenport–Halberstam theorem
- Behrend sequence -
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- Erdős–Wintner theorem -
- Exponent pair -
- Gorshkov–Wirsing polynomial -
- Heilbronn set -
- Intersective set -
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- Maier's matrix method -
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- Newman's conjecture -
- Turán's method -
- van der Corput process -
- van der Corput set -
- Vinogradov's hypothesis -
- Vinogradov's mean-value theorem -
Numerical analysis
- Template:Req (with redirect from *absorbing boundary conditions and mentioning *perfectly matched layer) -
- Template:Req (introduced by H. Akima, "A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures", Journal of the ACM, vol. 17, no. 4, pp589–602, 1970) -
- Essentially non-oscillatory (ENO) -
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- Lentz's algorithm (for the evaluation of continued fractions) -
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- Template:Req (also listed in *Linear algebra) -
- Non-uniform sampling -
- Orthomin(1) algorithm (for approximating Ax = b) -
- Template:Req (linking from Total Variation and including algorithms for regularising discrete functions (data) using total variations) -
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- Template:Req (of linear multistep methods) -
- Wexler's algorithm - (referenced in the alt-text of xkcd.com/69)
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Order theory
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- Galois insertion
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Probability theory
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Quantum Stochastic Calculus
- Quantum Stochastic Calculus see http://mathworld.wolfram.com/QuantumStochasticCalculus.html
- Evans–Hudson flow see Robin Lyth Hudson
Real analysis
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- Correct value as opposed to final value. this is seen when talking about true mean AND mean in statistics. But there is no article explaining this difference,
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- K-cell (mathematics) -
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Recreational mathematics
The condemned prisoners and the boxes. Fun problem with surprisingly simple solution. See for example http://www.mast.queensu.ca/~peter/inprocess/prisoners.pdf
Reference desk for mathematics
Representation theory (incl. harmonic analysis)
- Bahadur–Ghosh–Kiefer representation
- Delzant polytope
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- Gelfand's lemma
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- Geometric representation theory
- Howe conjecture
- Ind-sheaf
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Semigroup theory
Set theory
Special functions
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- Gram–Charlier polynomials (currently redirects to Edgeworth series, which does not tell what a Gram–Charlier polynomial is)
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Statistics
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- Burg's method -used in Matlabs arburg() for estimating AR process coeffs.
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- h-statistic - unbiased sample estimators of central moments
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- JADE (ICA) (an *Independent component analysis algorithm) -
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- k-statistic - unbiased sample estimators of cumulants (see also h-statistics)
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- Kaiser–Meyer–Olkin criterium (de:Kaiser-Meyer-Olkin-Kriterium)
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Algebraic topology
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Geometric topology
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Knot theory
Set-theoretic topology
Stable homotopy theory
Uncategorized
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