Bernd Siebert | |
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 Siebert in 2014 | |
| Born | 5 March 1964 (age 59) |
| Occupation | German mathematician |
| Awards | Clay Research Award (2016) |
Bernd Siebert (born 5 March 1964 in Berlin-Wilmersdorf) is a German mathematician who researches in algebraic geometry.
Bernd Siebert | |
|---|---|
| Siebert in 2014 | |
| Born | 5 March 1964 (age 59) |
| Occupation | German mathematician |
| Awards | Clay Research Award (2016) |
Bernd Siebert (born 5 March 1964 in Berlin-Wilmersdorf) is a German mathematician who researches in algebraic geometry.
Siebert studied mathematics starting 1984 at the University of Erlangen. In 1986, he changed to the University of Bonn and in 1987 to the University of Göttingen where he finished his Diplom in 1989 under the supervision of Hans Grauert with distinction. He became Grauert's PhD student and assistant in Göttingen. He received his PhD in 1992 (Faserzykelräume, geometrische Plattifikation und meromorphe Äquivalenzrelationen). A stay at the Courant Institute followed in 1993–94 after which we went to Bochum. In 1997–98 he spent some time at the MIT as a visiting scholar before completing his habilitation in Bochum in 1998 (Gromov–Witten invariants for general symplectic manifolds). As a DFG-Heisenberg Fellow, he went to the Universität Paris VI/Universität Paris VII from 2000 to 2002. From there, he was called to a professorship at the Albert-Ludwigs-Universität Freiburg in 2002. He moved on to the Universität Hamburg in 2008, and in 2011, he became the head of the Graduiertenkolleg Mathematics Inspired by String Theory and QFT. In 2018, Siebert joined the faculty of the University of Texas at Austin as a professor of mathematics [1] and holds the Sid W. Richardson Foundation Regents Chair in Mathematics #4. [2]
In his research, Bernd Siebert contributed substantially to the theory of Gromov–Witten invariants. Around 2002 by his insights in logarithmic geometry, he entered into an ongoing joint research program with Mark Gross. This generated a sequence of relevant papers that relate to mirror symmetry and tropical geometry.
In 2014, jointly with Mark Gross, he became an invited speaker at the International Congress of Mathematics in Seoul for the section complex geometry (Local mirror symmetry in the tropics). Both of them were awarded the Clay Research Award in 2016.
Sir Simon Kirwan Donaldson is an English mathematician known for his work on the topology of smooth (differentiable) four-dimensional manifolds, Donaldson–Thomas theory, and his contributions to Kähler geometry. He is currently a permanent member of the Simons Center for Geometry and Physics at Stony Brook University in New York, and a Professor in Pure Mathematics at Imperial College London.
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.
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Victor Ginzburg is a Russian American mathematician who works in representation theory and in noncommutative geometry. He is known for his contributions to geometric representation theory, especially, for his works on representations of quantum groups and Hecke algebras, and on the geometric Langlands program. He is currently a Professor of Mathematics at the University of Chicago.
Kai Behrend is a German mathematician. He is a professor at the University of British Columbia in Vancouver, British Columbia, Canada.
Richard Paul Winsley Thomas is a British mathematician working in several areas of geometry. He is a professor at Imperial College London. He studies moduli problems in algebraic geometry, and ‘mirror symmetry’—a phenomenon in pure mathematics predicted by string theory in theoretical physics.
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.
In theoretical physics, Rajesh Gopakumar and Cumrun Vafa introduced in a series of papers new topological invariants, called Gopakumar–Vafa invariants, that represent the number of BPS states on a Calabi–Yau 3-fold. They lead to the following generating function for the Gromov–Witten invariants on a Calabi–Yau 3-fold M:
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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.
Federico Rodríguez Hertz is an Argentine mathematician working in the United States. He is the Anatole Katok Chair professor of mathematics at Penn State University. Rodriguez Hertz studies dynamical systems and ergodic theory, which can be used to described chaos's behaviors over the large time scale and also has many applications in statistical mechanics, number theory, and geometry.
Yongbin Ruan is a Chinese mathematician, specializing in algebraic geometry, differential geometry, and symplectic geometry with applications to string theory.
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Denis Auroux is a French mathematician working in geometry and topology.
Tsachik Gelander is an Israeli mathematician working in the fields of Lie groups, topological groups, symmetric spaces, lattices and discrete subgroups. He is a professor in Northwestern University.
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