Denis Auroux | |
|---|---|
 Professor Auroux in 2010 | |
| Born | April 1977 (age 46) |
| Nationality | French |
| Alma mater | École normale supérieure Paris Diderot University Pierre and Marie Curie University Paris-Sud University École polytechnique |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Massachusetts Institute of Technology University of California, Berkeley Harvard University |
Denis Auroux (born April 1977 in Lyon) is a French mathematician working in geometry and topology.
Auroux was admitted in 1993 to the École normale supérieure. In 1994, he received a licentiate and maîtrise in mathematics from Paris Diderot University (Paris 7). In 1995, he received a licentiate in physics from Pierre and Marie Curie University (Paris 6) and passed the agrégation . In 1995, he received a master's degree in mathematics from Paris-Sud University with a thesis on Seiberg-Witten invariants of symplectic manifolds. In 1999, he received his doctorate from the École polytechnique with supervisors Jean-Pierre Bourguignon and Mikhael Gromov for a thesis on structure theorems for compact symplectic manifolds via almost-complex techniques. In 2003, he completed his habilitation at Paris-Sud University with a thesis on approximately holomorphic techniques and monodromy invariants in symplectic topology.
As a postdoc, he was a C. L. E. Moore Instructor at the Massachusetts Institute of Technology from 1999 to 2002, where he became an assistant professor in 2002, an associate professor in 2004 (tenured in 2006), and a professor in 2009 (on leave from 2009 to 2011). From 2009 to 2018, he was a professor at the University of California, Berkeley. Since Fall 2018, he has been at Harvard University, [1] where he taught Math 55, two-semester honors undergraduate course on algebra and analysis. [2]
His research deals with symplectic geometry, low-dimensional topology, and mirror symmetry. [3] [4]
In 2002, he received the Prix Peccot from the Collège de France. In 2005, he received a Sloan Research Fellowship. [1] He was an invited speaker in 2010 with talk Fukaya Categories and bordered Heegaard-Floer Homology [5] at the International Congress of Mathematicians in Hyderabad and in 2004 at the European Congress of Mathematicians in Stockholm. [6]
In algebraic geometry and theoretical physics, mirror symmetry is a relationship between geometric objects called Calabi–Yau manifolds. The term refers to a situation where two Calabi–Yau manifolds look very different geometrically but are nevertheless equivalent when employed as extra dimensions of string theory.
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.
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Alexander Givental is a Russian-American mathematician working in symplectic topology and singularity theory, as well as their relation to topological string theories. He graduated from Moscow Phys-Math school number 2 and then the Gubkin Russian State University of Oil and Gas, and he finally his Ph.D. under the supervision of V. I. Arnold in 1987. He emigrated to the United States in 1990. He provided the first proof of the mirror conjecture for Calabi–Yau manifolds that are complete intersections in toric ambient spaces, in particular for quintic hypersurfaces in P4. He is now Professor of Mathematics at the University of California, Berkeley. As an extracurricular activity, he translates Russian poetry into English and publishes books, including his own translation of a textbook in geometry by Andrey Kiselyov and poetry of Marina Tsvetaeva. Givental is a father of two.
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This is a glossary of properties and concepts in symplectic geometry in mathematics. The terms listed here cover the occurrences of symplectic geometry both in topology as well as in algebraic geometry. The glossary also includes notions from Hamiltonian geometry, Poisson geometry and geometric quantization.
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Serguei Barannikov is a mathematician, known for his works in algebraic topology, algebraic geometry and mathematical physics.
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Ronald Alan Fintushel is an American mathematician, specializing in low-dimensional geometric topology and the mathematics of gauge theory.
Dmitri Olegovich Orlov, is a Russian mathematician, specializing in algebraic geometry. He is known for the Bondal-Orlov reconstruction theorem (2001).
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