Alexander Grothendieck,later Alexandre Grothendieck in French,was a German-born French mathematician who became the leading figure in the creation of modern algebraic geometry. His research extended the scope of the field and added elements of commutative algebra,homological algebra,sheaf theory,and category theory to its foundations,while his so-called "relative" perspective led to revolutionary advances in many areas of pure mathematics. He is considered by many to be the greatest mathematician of the twentieth century.
Jean-Pierre Serre is a French mathematician who has made contributions to algebraic topology,algebraic geometry and algebraic number theory. He was awarded the Fields Medal in 1954,the Wolf Prize in 2000 and the inaugural Abel Prize in 2003.
John Torrence Tate Jr. was an American mathematician distinguished for many fundamental contributions in algebraic number theory,arithmetic geometry,and related areas in algebraic geometry. He was awarded the Abel Prize in 2010.
Saunders Mac Lane,born Leslie Saunders MacLane,was an American mathematician who co-founded category theory with Samuel Eilenberg.
David Bryant Mumford is an American mathematician known for his work in algebraic geometry and then for research into vision and pattern theory. He won the Fields Medal and was a MacArthur Fellow. In 2010 he was awarded the National Medal of Science. He is currently a University Professor Emeritus in the Division of Applied Mathematics at Brown University.
Daniel Gray 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.
John Bligh Conway is an American mathematician. He is currently a professor emeritus at the George Washington University. His specialty is functional analysis,particularly bounded operators on a Hilbert space.
William Schumacher Massey was an American mathematician,known for his work in algebraic topology. The Massey product is named for him. He worked also on the formulation of spectral sequences by means of exact couples,and wrote several textbooks,including A Basic Course in Algebraic Topology (ISBN 0-387-97430-X).
Robin Cope Hartshorne is an American mathematician who is known for his work in algebraic geometry.
John Willard Morgan is an American mathematician known for his contributions to topology and geometry. He is a Professor Emeritus at Columbia University and a member of the Simons Center for Geometry and Physics at Stony Brook University.
William Edgar Fulton is an American mathematician,specializing in algebraic geometry.
Michael Barr is an American mathematician who is the Peter Redpath Emeritus Professor of Pure Mathematics at McGill University.
Steven Roman is a mathematician,currently Emeritus Professor of Mathematics at California State University,Fullerton and Visiting Professor of Mathematics at University of California,Irvine. He is one of the main developers of umbral calculus. He has written about 40 books on mathematics and computer programming.
Ronald Brown FLSW is an English mathematician. Emeritus Professor in the School of Computer Science at Bangor University,he has authored many books and more than 160 journal articles.
Gerhard Paul Hochschild was a German-born American mathematician who worked on Lie groups,algebraic groups,homological algebra and algebraic number theory.
Kenneth Alan Ribet is an American mathematician working in algebraic number theory and algebraic geometry. He is known for the Herbrand–Ribet theorem and Ribet's theorem,which were key ingredients in the proof of Fermat's Last Theorem,as well as for his service as President of the American Mathematical Society from 2017 to 2019. He is currently a professor of mathematics at the University of California,Berkeley.
Peter Steven Landweber is an American mathematician working in algebraic topology.
James Edward Humphreys was an American mathematician who worked in algebraic groups,Lie groups,and Lie algebras and applications of these mathematical structures. He is known as the author of several mathematical texts,such as Introduction to Lie Algebras and Representation Theory and Reflection Groups and Coxeter Groups.
John Stephen Halperin is a Canadian mathematician who deals with differential geometry and algebraic topology.
R. Keith Dennis is a mathematician known for his work in algebraic K-theory and group theory. His whole career has been spent in the Department of Mathematics at Cornell University,where he is now Professor Emeritus.
