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.
Michael Artin is an American mathematician and a professor emeritus in the Massachusetts Institute of Technology Mathematics Department, known for his contributions to algebraic geometry.
Mathai Varghese is a mathematician at the University of Adelaide. His first most influential contribution is the Mathai–Quillen formalism, which he formulated together with Daniel Quillen, and which has since found applications in index theory and topological quantum field theory. He was appointed a full professor in 2006. He was appointed Director of the Institute for Geometry and its Applications in 2009. In 2011, he was elected a Fellow of the Australian Academy of Science. In 2013, he was appointed the Elder Professor of Mathematics at the University of Adelaide, and was elected a Fellow of the Royal Society of South Australia. In 2017, he was awarded an ARC Australian Laureate Fellowship. In 2021, he was awarded the prestigious Hannan Medal and Lecture from the Australian Academy of Science, recognizing an outstanding career in Mathematics. In 2021, he was also awarded the prestigious George Szekeres Medal which is the Australian Mathematical Society’s most prestigious medal, recognising research achievement and an outstanding record of promoting and supporting the discipline.
In mathematics, equivariant cohomology is a cohomology theory from algebraic topology which applies to topological spaces with a group action. It can be viewed as a common generalization of group cohomology and an ordinary cohomology theory. Specifically, the equivariant cohomology ring of a space with action of a topological group is defined as the ordinary cohomology ring with coefficient ring of the homotopy quotient :
In mathematics, Sullivan conjecture or Sullivan's conjecture on maps from classifying spaces can refer to any of several results and conjectures prompted by homotopy theory work of Dennis Sullivan. A basic theme and motivation concerns the fixed point set in group actions of a finite group . The most elementary formulation, however, is in terms of the classifying space of such a group. Roughly speaking, it is difficult to map such a space continuously into a finite CW complex in a non-trivial manner. Such a version of the Sullivan conjecture was first proved by Haynes Miller. Specifically, in 1984, Miller proved that the function space, carrying the compact-open topology, of base point-preserving mappings from to is weakly contractible.
Michael Jerome Hopkins is an American mathematician known for work in algebraic topology.
Douglas Conner Ravenel is an American mathematician known for work in algebraic topology.
James Dillon Stasheff is an American mathematician, a professor emeritus of mathematics at the University of North Carolina at Chapel Hill. He works in algebraic topology and algebra as well as their applications to physics.
Eric Mark Friedlander is an American mathematician who is working in algebraic topology, algebraic geometry, algebraic K-theory and representation theory.
Brooke Elizabeth Shipley is an American mathematician. She works as a professor at the University of Illinois at Chicago, where she was head of the Department of Mathematics, Statistics and Computer Science from 2014 to 2022. Her research concerns homotopy theory and homological algebra.
Kathryn Pamela Hess is an American mathematician who has served as professor of mathematics at École Polytechnique Fédérale de Lausanne (EPFL) since 1999. She is known for her work on homotopy theory, category theory, and algebraic topology, both pure and applied. In particular, she applies the methods of algebraic topology to the study of neurology, cancer biology, and materials science. She is a fellow of the American Mathematical Society.
Megumi Harada is a mathematician who works as a professor in the department of mathematics and statistics at McMaster University, where she holds a tier-two Canada Research Chair in Equivariant Symplectic and Algebraic Geometry.
Hélène Barcelo is a Canadian mathematician specializing in algebraic combinatorics. Within that field, her interests include combinatorial representation theory, homotopy theory, and arrangements of hyperplanes. She is a professor emeritus of mathematics at Arizona State University, and deputy director of the Mathematical Sciences Research Institute (MSRI). She was editor-in-chief of the Journal of Combinatorial Theory, Series A, from 2001 to 2009.
Clark Edward Barwick is an American mathematician and professor of pure mathematics at the University of Edinburgh. His research is centered around homotopy theory, algebraic K-theory, higher category theory, and related areas.
Edgar Henry Brown, Jr. was an American mathematician specializing in algebraic topology, and for many years a professor at Brandeis University.
Chelsea Walton is an American mathematician whose research interests include noncommutative algebra, noncommutative algebraic geometry, symmetry in quantum mechanics, Hopf algebras, and quantum groups. She is an associate professor at Rice University and a Sloan Research Fellow.
Julianna Sophia Tymoczko is an American mathematician whose research connects algebraic geometry and algebraic combinatorics, including representation theory, Schubert calculus, equivariant cohomology, and Hessenberg varieties. She is a professor of mathematics at Smith College.
Aldridge Knight Bousfield, known as "Pete", was an American mathematician working in algebraic topology, known for the concept of Bousfield localization.
Zhouli Xu is a Chinese mathematician specializing in topology as an Associate Professor of Mathematics at the University of California, San Diego, known for computations of homotopy groups of spheres.
Agnès France Marie Beaudry is a Canadian mathematician specializing in algebraic topology, including stable homotopy theory, chromatic homotopy theory, equivariant homotopy theory, and applications of these theories to condensed matter physics. She is an associate professor of mathematics at the University of Colorado Boulder.
