Daniel Gray "Dan" Quillen was an American mathematician. He is known for being the "prime architect" of higher algebraic K-theory, for which he was awarded the Cole Prize in 1975 and the Fields Medal in 1978.
David Gale was an American mathematician and economist. He was a professor emeritus at the University of California, Berkeley, affiliated with the departments of mathematics, economics, and industrial engineering and operations research. He has contributed to the fields of mathematical economics, game theory, and convex analysis.
Anil Nerode is an American mathematician, known for his work in mathematical logic and for his many-decades tenure as a professor at Cornell University.
Melvin Hochster is an American mathematician working in commutative algebra. He is currently the Jack E. McLaughlin Distinguished University Professor Emeritus of Mathematics at the University of Michigan.
Hyman Bass is an American mathematician, known for work in algebra and in mathematics education. From 1959 to 1998 he was Professor in the Mathematics Department at Columbia University. He is currently the Samuel Eilenberg Distinguished University Professor of Mathematics and Professor of Mathematics Education at the University of Michigan.
Andrei Suslin was a Russian mathematician who contributed to algebraic K-theory and its connections with algebraic geometry. He was a Trustee Chair and Professor of mathematics at Northwestern University.
Dennis Parnell Sullivan is an American mathematician known for his work in algebraic topology, geometric topology, and dynamical systems. He holds the Albert Einstein Chair at the City University of New York Graduate Center and is a distinguished professor at Stony Brook University.
In commutative algebra, André–Quillen cohomology is a theory of cohomology for commutative rings which is closely related to the cotangent complex. The first three cohomology groups were introduced by Stephen Lichtenbaum and Michael Schlessinger (1967) and are sometimes called Lichtenbaum–Schlessinger functorsT0, T1, T2, and the higher groups were defined independently by Michel André (1974) and Daniel Quillen (1970) using methods of homotopy theory. It comes with a parallel homology theory called André–Quillen homology.
Maxwell Alexander Rosenlicht was an American mathematician known for works in algebraic geometry, algebraic groups, and differential algebra.
In mathematics, the Quillen–Lichtenbaum conjecture is a conjecture relating étale cohomology to algebraic K-theory introduced by Quillen, who was inspired by earlier conjectures of Lichtenbaum (1973). Kahn (1997) and Rognes & Weibel (2000) proved the Quillen–Lichtenbaum conjecture at the prime 2 for some number fields. Voevodsky, using some important results of Markus Rost, has proved the Bloch–Kato conjecture, which implies the Quillen–Lichtenbaum conjecture for all primes.
Ian Agol is an American mathematician who deals primarily with the topology of three-dimensional manifolds.
Robert Wayne Thomason was an American mathematician who worked on algebraic K-theory. His results include a proof that all infinite loop space machines are in some sense equivalent, and progress on the Quillen–Lichtenbaum conjecture.
Karen Hunger Parshall is an American historian of mathematics. She is the Commonwealth Professor of History and Mathematics at the University of Virginia with a joint appointment in the Corcoran Department of History and Department of Mathematics. From 2009 to 2012, Parshall was the Associate Dean for the Social Sciences in the College of Arts in Sciences at UVA, and from 2016 to 2019 she was the chair of the Corcoran Department of History.
Daniel Stuart Freed is an American mathematician, specializing in global analysis and its applications to supersymmetry, string theory, and quantum field theory. He is currently the Shiing-Shen Chern Professor of Mathematics at Harvard University.
Eric Mark Friedlander is an American mathematician who is working in algebraic topology, algebraic geometry, algebraic K-theory and representation theory.
Joseph Lipman is a Canadian-American mathematician, working in algebraic geometry.
Lauren Kiyomi Williams is an American mathematician known for her work on cluster algebras, tropical geometry, algebraic combinatorics, amplituhedra, and the positive Grassmannian. She is Dwight Parker Robinson Professor of Mathematics at Harvard University.
Ralph Louis Cohen is an American mathematician, specializing in algebraic topology and differential topology.
William Allen Casselman is an American Canadian mathematician who works in representation theory and automorphic forms. He is a Professor Emeritus at the University of British Columbia. He is closely connected to the Langlands program and has been involved in posting all of the work of Robert Langlands on the internet.
Thomas Hermann Geisser is a German mathematician working at Rikkyo University. He works in the field of arithmetic geometry, motivic cohomology and algebraic K-theory.
