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Andreas Floer was a German mathematician who made seminal contributions to symplectic topology, and mathematical physics, in particular the invention of Floer homology. Floer's first pivotal contribution was a solution of a special case of Arnold's conjecture on fixed points of a symplectomorphism. Because of his work on Arnold's conjecture and his development of instanton homology, he achieved wide recognition and was invited as a plenary speaker for the International Congress of Mathematicians held in Kyoto in August 1990. He received a Sloan Fellowship in 1989.
In mathematics, Floer homology is a tool for studying symplectic geometry and low-dimensional topology. Floer homology is a novel invariant that arises as an infinite-dimensional analogue of finite-dimensional Morse homology. Andreas Floer introduced the first version of Floer homology, now called Lagrangian Floer homology, in his proof of the Arnold conjecture in symplectic geometry. Floer also developed a closely related theory for Lagrangian submanifolds of a symplectic manifold. A third construction, also due to Floer, associates homology groups to closed three-dimensional manifolds using the Yang–Mills functional. These constructions and their descendants play a fundamental role in current investigations into the topology of symplectic and contact manifolds as well as (smooth) three- and four-dimensional manifolds.
Ciprian Manolescu is a Romanian-American mathematician, working in gauge theory, symplectic geometry, and low-dimensional topology. He is currently a professor of mathematics at Stanford University.
Clifford Henry Taubes is the William Petschek Professor of Mathematics at Harvard University and works in gauge field theory, differential geometry, and low-dimensional topology. His brother is the journalist Gary Taubes.
Joan Sylvia Lyttle Birman is an American mathematician, specializing in low-dimensional topology. She has made contributions to the study of knots, 3-manifolds, mapping class groups of surfaces, geometric group theory, contact structures and dynamical systems. Birman is research professor emerita at Barnard College, Columbia University, where she has been since 1973.
Zoltán Szabó is a professor of mathematics at Princeton University known for his work on Heegaard Floer homology.
Kenji Fukaya is a Japanese mathematician known for his work in symplectic geometry and Riemannian geometry. His many fundamental contributions to mathematics include the discovery of the Fukaya category. He is a permanent faculty member at the Simons Center for Geometry and Physics and a professor of mathematics at Stony Brook University.
Sucharit Sarkar is an Indian topologist and professor of mathematics at the University of California, Los Angeles who works in low-dimensional topology.
Ralph Louis Cohen is an American mathematician, specializing in algebraic topology and differential topology.
Julia Elisenda (Eli) Grigsby is an American mathematician who works as a professor at Boston College. Her research began with the study of low-dimensional topology, including knot theory and category-theoretic knot invariants. She is currently working in the field of machine learning.
Emmy Murphy is an American mathematician and a professor at Princeton University who works in the area of symplectic topology, contact geometry and geometric topology.
Emily Riehl is an American mathematician who has contributed to higher category theory and homotopy theory. Much of her work, including her PhD thesis, concerns model structures and more recently the foundations of infinity-categories. She is the author of two textbooks and serves on the editorial boards of three journals.
Kaoru Ono is a Japanese mathematician, specializing in symplectic geometry. He is a professor at the Research Institute for Mathematical Sciences (RIMS) at Kyoto University.
Efstratia (Effie) Kalfagianni is a Greek American mathematician specializing in low-dimensional topology.
The Joan & Joseph Birman Research Prize in Topology and Geometry was established in 2013 and is a prize given every other year by the Association for Women in Mathematics to an outstanding young female researcher in topology or geometry. The prize fund for the award was established by a donation from Joan Birman and her husband, Joseph Birman.
Kathryn Mann is a mathematician who has won the Rudin Award, Birman Prize, Duszenko Award, and Sloan Fellowship for her research in geometric topology and geometric group theory. She is an assistant professor of mathematics at Cornell University.
Tara Elise Brendle is an American mathematician who works in geometric group theory, which involves the intersection of algebra and low-dimensional topology. In particular, she studies mapping class group of surfaces, including braid groups, and their relationship to automorphism groups of free groups and arithmetic groups. She is a professor of mathematics and head of mathematics at the University of Glasgow.
Karen Melnick is a mathematician and associate professor at University of Maryland, College Park. She specializes in differential geometry and was most recently awarded the 2020-2021 Joan and Joseph Birman Fellowship for Women Scholars by the American Mathematical Society.
Oh Yong-Geun is a mathematician and distinguished professor at the Pohang University of Science and Technology and founding director of the IBS Center for Geometry and Physics located on that campus. His fields of study have been on symplectic topology, Floer homology, Hamiltonian mechanics, and mirror symmetry He was in the inaugural class of fellows of the American Mathematical Society and has been a member of Institute for Advanced Study, Korean Mathematical Society, and National Academy of Sciences of the Republic of Korea and is on the editorial boards of Journal of Gokova Geometry and Topology and Journal of Mathematics of Kyoto University.
Jennifer Cheung Hom is an American mathematician whose research concerns low-dimensional topology, including Heegaard Floer homology and link concordance. She is a professor of mathematics at Georgia Tech.
References
- 1 2 3 Curriculum vitae (PDF), retrieved 2023-05-20
- ↑ Kristen Hendricks at the Mathematics Genealogy Project
- ↑ Joan and Joseph Birman Research Prize 2023, Association for Women in Mathematics, retrieved 2023-05-20