Related Research Articles
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.
Dennis Parnell Sullivan is an American mathematician known for his work in algebraic topology, geometric topology, and dynamical systems. He holds the Albert Einstein Chair at the City University of New York Graduate Center and is a distinguished professor at Stony Brook University.
Zoltán Szabó is a professor of mathematics at Princeton University known for his work on Heegaard Floer homology.
Karen Vogtmann (born July 13, 1949 in Pittsburg, California) is an American mathematician working primarily in the area of geometric group theory. She is known for having introduced, in a 1986 paper with Marc Culler, an object now known as the Culler–Vogtmann Outer space. The Outer space is a free group analog of the Teichmüller space of a Riemann surface and is particularly useful in the study of the group of outer automorphisms of the free group on n generators, Out(Fn). Vogtmann is a professor of mathematics at Cornell University and the University of Warwick.
Tomasz Mrowka is an American mathematician specializing in differential geometry and gauge theory. He is the Singer Professor of Mathematics and former head of the Department of Mathematics at the Massachusetts Institute of Technology.
Lenhard Ng is an American mathematician, working primarily on symplectic geometry. Ng is a professor of mathematics at Duke University.
Sherry Gong is an American mathematician specializing in low-dimensional topology and known as one of the most successful female competitors at the International Mathematical Olympiad. She is an assistant professor at Texas A&M University.
The Levi L. Conant Prize is a mathematics prize of the American Mathematical Society, which has been awarded since 2001 for outstanding expository papers published in the Bulletin of the American Mathematical Society or the Notices of the American Mathematical Society in the past five years. The award is worth $1,000 and is awarded annually.
Michael Lounsbery Hutchings is an American mathematician, a professor of mathematics at the University of California, Berkeley. He is known for proving the double bubble conjecture on the shape of two-chambered soap bubbles, and for his work on circle-valued Morse theory and on embedded contact homology, which he defined.
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.
François Lalonde is a Canadian mathematician, specializing in symplectic geometry and symplectic topology.
Dietmar Arno Salamon is a German mathematician.
Dan Margalit is an American mathematician at Vanderbilt University. His research fields include geometric group theory and low-dimensional topology, with a particular focus on mapping class groups of surfaces.
Denis Auroux is a French mathematician working in geometry and topology.
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.
Kristen Hendricks is an American mathematician specializing in low-dimensional topology, including work on involutive Heegaard Floer homology and equivariant Floer homology. She is an associate professor of mathematics at Rutgers University.
References
- 1 2 3 Curriculum vitae (PDF), retrieved 2022-11-11
- ↑ Jennifer Hom at the Mathematics Genealogy Project
- ↑ 2023 Class of Fellows, American Mathematical Society, retrieved 2022-11-09
- ↑ Levi L. Conant Prize 2024
