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He was named to the 2021 class of fellows of the American Mathematical Society "for contributions to algebraic topology and related areas of algebraic geometry, representation theory, and mathematical physics". [16] In 2022 he received for the second time the Oswald Veblen Prize in Geometry. [17]
In 1991, Cohen, together with Frederick Cohen, Benjamin Mann, and R. James Milgram gave a complete description of the algebraic topology of the space of rational functions, and in the following years he made several contributions to the study of related moduli spaces.
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classify up to homotopy equivalence. Although algebraic topology primarily uses algebra to study topological ...
His research was then mainly in the area of manifolds, particularly geometric topology and related abstract algebra included in surgery theory, of which he was one of the founders. In 1964 he introduced the Brauer–Wall group of a field. His 1970 research monograph "Surgery on Compact Manifolds" is a major reference work in geometric topology.
William Schumacher Massey (August 23, 1920 [1] – June 17, 2017) 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 ...
He was known for his book on non-Euclidean geometry (1st edition, 1974; 4th edition, 2008) [3] [4] and his book on algebraic topology (1st edition, 1967, published with the title Lectures on Algebraic Topology; revised edition published, with John R. Harper as co-author, in 1981 with the title Algebraic Topology: A First Course). [5] [6] [7]
Dr. Wallace's work in the topology of three dimensional spaces was groundbreaking and remains frequently cited and used to the present day. [1] In addition to his work in mathematics, Andrew Wallace was an accomplished pianist, dancer, painter, and sailor. His greatest passion during his later life was sailing. He maintained a 35-foot craft.
Lück has made significant contributions in topology; he and his coauthors resolved many cases of the Farrell-Jones conjecture and the Borel conjecture. He has also contributed to the development of the theory of L 2 -invariants (such as L 2 -Betti numbers and L 2 -cohomology ) of manifolds , which were originally introduced by Michael Atiyah ...