158 articles
Ngô Bảo Châu
Ngô Bảo Châu, born in Hanoi in 1972, is a Vietnamese mathematician who proved the fundamental lemma in automorphic forms, winning the 2010 Fields Medal.
Nikolai Chebotaryov
Nikolai Chebotaryov (Николай Чеботарёв) was a Russian and Soviet mathematician who proved the Chebotarev density theorem in 1922, settling Frobenius's conjecture on the distribution of primes, and taught at Kazan University.
Noam Elkies
Noam Elkies is an American mathematician and Harvard professor known for number theory, for disproving Euler's sum-of-powers conjecture at age 21, and for record elliptic-curve computations.
Paul Epstein
Paul Epstein (1871–1939) was a German mathematician at the universities of Strasbourg and Frankfurt, best known for the Epstein zeta function, which generalizes the Riemann zeta function.
Paul Leyland
Paul Leyland is a computing researcher known for integer factorization and prime-number searches, a former Cunningham Project maintainer, namesake of Leyland numbers, and co-author of the record RSA-140 factorization.
Paul Poulet
Paul Poulet (died 1946) was a self-taught Belgian number theorist whose name attaches to Poulet numbers, base-2 pseudoprimes, and the first sociable numbers, published in 1918.
Paul T. Bateman
Paul T. Bateman (1919–2012) was an American analytic number theorist at the University of Illinois, known for the Bateman–Horn conjecture on prime values of polynomials.
Peter Borwein
Peter Borwein (1953–2020) was a Canadian mathematician and professor at Simon Fraser University who, often with his brother Jonathan, developed fast algorithms for computing pi.
Peter Sarnak
Peter Sarnak, born in Johannesburg in 1953, is a South African-born mathematician at Princeton University known for analytic number theory, automorphic forms, and arithmetic quantum chaos.
Peter Swinnerton-Dyer
Peter Swinnerton-Dyer, full name Sir Henry Peter Francis Swinnerton-Dyer, was a British mathematician who co-authored the Birch–Swinnerton-Dyer conjecture, one of the seven Clay Millennium Prize Problems.
René Schoof
René Schoof (Renatus Johannes Schoof) is a Dutch-born mathematician at Roma Tor Vergata, best known for his 1985 algorithm for counting points on elliptic curves.
Richard Dedekind
Richard Dedekind (1831–1916) was a German mathematician who defined the real numbers through Dedekind cuts and founded the theory of ideals in algebraic number theory.
Richard Taylor (mathematician)
Richard Lawrence Taylor, born 1962, is a British-American number theorist at Stanford University who helped complete the proof of Fermat's Last Theorem and proved the Sato-Tate conjecture.
Robert Alexander Rankin
Robert Alexander Rankin (1915–2001) was a British mathematician who wrote over 100 papers on number theory and gave his name to the Rankin–Selberg method for studying L-functions.
Robert Daniel Carmichael
Robert Daniel Carmichael (1879–1967) was an American mathematician and University of Illinois professor who gave his name to Carmichael numbers, the Carmichael function, and an open conjecture on Euler's totient.
Robert Langlands
Robert Langlands (born 1936) is a Canadian mathematician at the Institute for Advanced Study, founder of the Langlands program and winner of the 2018 Abel Prize.
Rodion Kuzmin
Rodion Osievich Kuzmin (Родион Осиевич Кузьмин) was a Soviet mathematician, born in 1891 and died in 1949, known for the Gauss–Kuzmin theorem and for proving 2^(√2) transcendental in 1930.
Roger Apéry
Roger Apéry (1916–1994) was a French mathematician, professor at the University of Caen from 1949 to 1986, best known for proving in 1978 that ζ(3), now called Apéry's constant, is irrational.
Roger Heath-Brown
David Rodney ("Roger") Heath-Brown, born 1952, is a British number theorist formerly Professor of Pure Mathematics at Oxford, known for proving infinitely many primes have the form x³ + 2y³.
Rudolf Fueter
Rudolf Fueter (Karl Rudolf Fueter, 1880–1950) was a Swiss mathematician who studied under David Hilbert, spent most of his career at the University of Zürich, and founded quaternionic function theory.
Sarvadaman Chowla
Sarvadaman Chowla (1907–1995) was an Indian number theorist who published more than 350 papers over sixty-two years, including the Chowla–Selberg formula and the still-open Chowla conjecture.
Serge Lang
Serge Lang (1927–2005) was a French-born American mathematician and Yale professor who worked in algebraic number theory, coined the term Diophantine geometry, and wrote the influential textbook Algebra.
Simon B. Kochen
Simon B. Kochen is a mathematician who taught at Cornell and Princeton, known for the Kochen–Specker theorem in quantum mechanics and the Ax–Kochen theorem in number theory.
Štefan Znám
Štefan Znám (1936–1993) was a Slovak mathematician at Comenius University in Bratislava who worked in number theory and graph theory, best known for Znám's problem, posed in 1972.
Stephen Schanuel
Stephen Hoel Schanuel (1933–2014) was an American mathematician at SUNY Buffalo known for Schanuel's conjecture, a central open problem in transcendental number theory, Schanuel's lemma, and the Ax–Schanuel theorem.
Subbayya Sivasankaranarayana Pillai
Subbayya Sivasankaranarayana Pillai (1901–1950) was an Indian number theorist who made decisive contributions to Waring's problem and formulated Pillai's conjecture, an open problem on gaps between perfect powers.
Sun Zhiwei
Sun Zhiwei (孙智伟, born 1965) is a Chinese number theorist and professor at Nanjing University who has posed 820 open conjectures, including one linking primes and Fibonacci numbers.
T. R. Parkin
T. R. Parkin, or Thomas R. Parkin, is an American researcher who with L. J. Lander found the first counterexample to Euler's sum of powers conjecture in 1966.
Theodor Schneider
Theodor Schneider (1911–1988) was a German mathematician who solved Hilbert's seventh problem in his 1934 doctoral thesis under Carl Ludwig Siegel, establishing the Gelfond–Schneider theorem, and whose 1957 monograph shaped Diophantine approximation theory.
Trygve Nagell
Trygve Nagell, born Trygve Nagel, was a Norwegian number theorist and professor at Uppsala University from 1931 to 1962, known for the Ramanujan–Nagell equation and the Nagell–Lutz theorem.