Group theory
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Algebraists
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Mathematicians by field
Group theorists
Helmut Ulm
Helmut Ulm (born June 21, 1908 in Gelsenkirchen; died June 13, 1975) was a German mathematician who established the classification of countable periodic abelian groups by means of their Ulm invariants...
Gilbert Baumslag
Gilbert Baumslag (April 30, 1933 – October 20, 2014) was a Distinguished Professor at the City College of New York, with joint appointments in mathematics, computer science, and electrical engineering...
Michael Aschbacher
Michael George Aschbacher (born April 8, 1944) is an American mathematician best known for his work on finite groups. He was a leading figure in the completion of the classification of finite simple g...
Michael Aschbacher - Wikipedia
Ronald Solomon
Donald G. Higman
Donald G. Higman (September 20, 1928, Vancouver – February 13, 2006) was an American mathematician known for his discovery, in collaboration with Charles C. Sims, of the Higman–Sims group.Higman did h...
Charles Sims (mathematician)
Charles Coffin Sims is an American mathematician best known for his work in group theory. Together with Donald G. Higman he discovered the Higman–Sims group, one of the sporadic groups. The permutati...
Charles Sims (mathematician) - Wikipedia
Joseph Gallian
Joseph A. Gallian (born January 5, 1942) is an American mathematician, the Morse Alumni Distinguished University Professor of Teaching in the Department of Mathematics and Statistics at the University...
Joseph Gallian - Wikipedia
László Pyber
László Pyber (born 8 May 1960 in Budapest) is a Hungarian mathematician. He works in combinatorics and group theory. He is a researcher at the Alfréd Rényi Institute of Mathematics, Budapest.He receiv...
Richard A. Parker
Richard A. Parker (b. 29 January 1953, in Surrey) is a mathematician and freelance computer programmer in Cambridge, England. He invented many of the algorithms for computing the modular character tab...
Richard A. Parker - Wikipedia
Robert Steinberg
Robert Steinberg (May 25, 1922 – May 25, 2014) was a mathematician at the University of California, Los Angeles who introduced the Steinberg representation, the Lang–Steinberg theorem, the Steinberg g...
Dan Segal
Daniel Segal (born 1947) is a British mathematician and a Professor of Mathematics at the University of Oxford. He specialises in algebra and group theory.He studied at Peterhouse, Cambridge, before ...
Dan Segal - Wikipedia
Karen Vogtmann
Karen Vogtmann (born July 13, 1949 in Pittsburg, California) is a U.S. mathematician working primarily in the area of geometric group theory. She is known for having introduced, in a 1986 paper with M...
Karen Vogtmann - Wikipedia
Wilhelm Magnus
Wilhelm Magnus (February 5, 1907, Berlin, Germany – October 15, 1990, New Rochelle, NY) was a German American mathematician. He made important contributions in combinatorial group theory, Lie algebras...
Charles W. Curtis
Charles Whittlesey Curtis (born 1926) is a mathematician and historian of mathematics, known for his work in finite group theory and representation theory. He is a retired professor of mathematics at ...
Charles W. Curtis - Wikipedia
James Wiegold
James "Jim" Wiegold (15 April 1934 – 4 August 2009) was a Welsh mathematician. Born in Trecenydd, Caerphilly, he earned a Ph.D. at the University of Manchester, England in 1958, studying under B...
James Wiegold - Wikipedia
Peter M. Neumann
Peter Michael Neumann OBE (born 28 December 1940) is a British mathematician. He is the son of the mathematicians Bernhard Neumann and Hanna Neumann and, after gaining a B.A. from The Queen's College,...
Peter M. Neumann - Wikipedia
George Abram Miller
George Abram Miller (31 July 1863 Lynnville, Lehigh County, Pennsylvania– 10 February 1951 Urbana, Illinois) was an early group theorist whose many papers and texts were considered important by his c...
Hans Fitting
Hans Fitting (13 November 1906 in München-Gladbach (now Mönchengladbach) – 15 June 1938 in Königsberg (now Kaliningrad))was a mathematician who worked in group theory. He proved Fitting's theorem and ...
Joseph Bernstein
Joseph Bernstein (sometimes spelled I. N. Bernshtein or Iosif Naumovič Bernštejn; Hebrew: יוס(י)ף נאומוביץ ברנשטיין; Russian: Иосиф Наумович Бернштейн; born April 18, 1945) is an Israeli ma...
Joseph Bernstein - Wikipedia
Roger Evans Howe
Roger Evans Howe is Professor of Mathematics at Yale University. He is well known for his contributions to representation theory, and in particular for the notion of a reductive dual pair, sometimes ...
Roger Evans Howe - Wikipedia
Sergei Adian
Sergei Ivanovich Adian, also Adyan (Armenian: Սերգեյ Իվանովիչ Ադյան; Russian: Серге́й Ива́нович Адя́н, born 1 January 1931), is a Russian-Armenian mathematician. He is a professor at the Mosco...
Sophus Lie
Marius Sophus Lie (/liː/ LEE; [liː]; 17 December 1842 – 18 February 1899) was a Norwegian mathematician. He largely created the theory of continuous symmetry and applied it to the study of geometry a...
Sophus Lie - Wikipedia
Émile Léonard Mathieu
Émile Léonard Mathieu ([matjø]; 15 May 1835, Metz – 19 October 1890, Nancy) was a French mathematician. He is most famous for his work in group theory and mathematical physics. He has given his name t...
Arthur Cayley
Arthur Cayley F.R.S. (/ˈkeɪli/; 16 August 1821 – 26 January 1895) was a British mathematician. He helped found the modern British school of pure mathematics.As a child, Cayley enjoyed solving complex ...
Arthur Cayley - Wikipedia
Galois theory
In mathematics, more specifically in abstract algebra, Galois theory, named after Évariste Galois, provides a connection between field theory and group theory. Using Galois theory, certain problems in...
Galois theory - Wikipedia
John G. Thompson
John Griggs Thompson (born October 13, 1932) is a mathematician at the University of Florida noted for his work in the field of finite groups. He was awarded the Fields Medal in 1970, the Wolf Prize i...
John G. Thompson - Wikipedia
Richard Borcherds
Richard Ewen Borcherds (/ˈbɔrtʃərdz/; born 29 November 1959) is a British mathematician specializing in lattices, number theory, group theory, and infinite-dimensional algebras. He was awarded the Fie...
Richard Borcherds - Wikipedia
James Alexander Green
James Alexander "Sandy" Green FRS (26 February 1926 – 7 April 2014) was a mathematician and Professor at the Mathematics Institute at the University of Warwick, who worked in the field of representati...
David Harbater
David Harbater (born December 19, 1952) is an American mathematician at the University of Pennsylvania, well known for his work in Galois theory, algebraic geometry and arithmetic geometry.
Harbat...
David Harbater - Wikipedia
Paul Gustav Heinrich Bachmann
Paul Gustav Heinrich Bachmann (22 June 1837 – 31 March 1920) was a German mathematician.Bachmann studied mathematics at the university of his native city of Berlin andreceived his doctorate in 1862 fo...
Paul Gustav Heinrich Bachmann - Wikipedia