David Ben-Zvi
David Dror Ben-Zvi (born June 19, 1974 ) is an American mathematician.
Ben-Zvi studied at Princeton University with a bachelor's degree summa cum laude in 1994 and received his doctorate from Edward Frenkel at Harvard University in 1999 ( Spectral curves, opers and integrable systems ). From 1999 to 2003 he was a Dickson Instructor at the University of Chicago . He has been Assistant Professor since 2003, Associate Professor since 2008 and Professor at the University of Texas at Austin since 2013 ( Joel B. and Louise Cook Professor ).
Like Frenkel, he deals with the geometric Langland program at the intersection of representation theory (of Lie groups and algebras ), algebraic geometry and mathematical physics (e.g. topological quantum field theories and their connection with the geometric Langland program), applications of non-commutative geometry to integrable Systems of mathematical physics and vice versa Applications of geometric structures of mathematical physics (such as vertex algebras and conformal field theories ) in the geometry of the module spaces of algebraic geometry.
In 2008 he was at the Institute for Advanced Study , in 2014 research professor at MSRI , in 2004 visiting professor at Northwestern University and in 2014 at Berkeley.
In 2012 he became a Fellow of the American Mathematical Society . In 2017 he was Simons Fellow.
Fonts (selection)
- with E. Frenkel: Vertex algebras and algebraic curves, American Mathematical Society 2001
- with E. Frenkel: Spectral curves, operads and integrable systems, Pub. Math. IHES, Vol. 94, 2001, pp. 87-159, Arxiv
- with E. Frenkel: Geometric realization of the Segal-Sugawara construction, in: London Math. Soc. Lecture Note Series 308 (Proc. 2002 Oxford Symp. In Honor of Graeme Segal), 2004, Arxiv
- Moduli spaces, in Gowers et al. a. Princeton Companion to Mathematics, Princeton UP 2008
- with D. Nadler: Loop Spaces and Langlands Parameters, Arxiv 2007
- with R. Heluani, M. Szczesny: Supersymmetry of the chiral de Rham complex, Compositio Mathematica, Volume 144, 2008, pp. 503-521, Arxiv
- with Thomas Nevins: From solitons to many-body systems, Pure and Applied Math Quarterly, Volume 4, 2008, pp. 319–361, Arxiv
- with D. Nadler: The character theory of a complex group, Arxiv 2009
- with J. Francis, D. Nadler: Integral transforms and Drinfeld centers in derived algebraic geometry, J. American Math. Soc., Volume 23, 2010, pp. 909-966, Arxiv
- with T. Nevins: D-bundles and integrable hierarchies, European J. Math., Volume 14, 2011, pp. 1503-1565, Arxiv
- with David Nadler: Loop spaces and connections, Journal of Topology, Volume 5, 2012, pp. 377-430, Arxiv
- with D. Nadler: Loop spaces and representations, Duke Math. J., Volume 162, 2013, pp. 1587–1619, Arxiv
- with Adrien Brocher, David Jordan: Integrating quantum groups over surfaces, Arxiv 2015
- with D. Nadler: Elliptic Springer theory, Compositio Math., Volume 151, 2015, pp. 1568–1584, Arxiv
- with D. Nadler: Betti geometric Langlands, Arxiv 2016
Web links
Individual evidence
- ↑ David Ben-Zvi in the Mathematics Genealogy Project (English)
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| personal data | |
|---|---|
| SURNAME | Ben-Zvi, David |
| ALTERNATIVE NAMES | Ben-Zvi, David Dror |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | June 19, 1974 |