Topologists

Allen Edward Hatcher (born October 23, 1944) is an American topologist.

Alice Turner Schafer (June 18, 1915 – September 27, 2009) was an American mathematician. She was one of the founding members of the Association for Women in Mathematics in 1971.

Pierre Euclide Conner (27 June 1932, Houston, Texas – 3 February 2018, New Orleans, Louisiana) was an American mathematician, who worked on algebraic topology and differential topology (especially cobordism theory).
In 1955 Conner received his Ph.D from Princeton University under Donald Spencer with thesis The Green's and Neumann's Problems for Differential Forms on Riemannian Manifolds. He was a post-doctoral fellow from 1955 to 1957 (and again in 1961–1962) at the Institute for Advanced Study. He was in the 1960s a professor at the University of Virginia, where he collaborated with his colleague Edwin E. Floyd, and then in the 1970s a professor at Louisiana State University.
In 2012 he became a fellow of the American Mathematical Society.

Deane Montgomery (September 2, 1909 – March 15, 1992) was an American mathematician specializing in topology who was one of the contributors to the final resolution of Hilbert's fifth problem in the 1950s. He served as president of the American Mathematical Society from 1961 to 1962.
Born in the small town of Weaver, Minnesota, he received his B.S. from Hamline University in St. Paul, MN and his Master's and Ph.D. from the University of Iowa in 1933; his dissertation advisor was Edward Chittenden.In 1941 Montgomery was awarded a Guggenheim Fellowship. In 1988, he was awarded the American Mathematical Society Leroy P. Steele Prize for Lifetime Achievement.
He was a member of the United States National Academy of Sciences, the American Philosophical Society, and of the American Academy of Arts and Sciences.

Luitzen Egbertus Jan "Bertus" Brouwer (27 February 1881 – 2 December 1966) was a Dutch mathematician and philosopher who worked in topology, set theory, measure theory and complex analysis. He is seen as one of the founders of modern topology, in particular through his establishing the fixed-point theorem and the topological invariance of dimension.Brouwer also became a major figure in the philosophy of intuitionism, a constructivist school of mathematics which argues that math is a cognitive construct rather than a type of objective truth. This position led to the Brouwer–Hilbert controversy, in which Brouwer sparred with his formalist colleague David Hilbert. Brouwer's ideas were subsequently taken up by his student Arend Heyting and Hilbert's former student Hermann Weyl. In addition to his mathematical work, Brouwer also published the short philosophical tract Life, Art, and Mysticism (1905).