I'm an associate professor at the University of Illinois at Urbana-Champaign. My research lies at the boundaries of algebraic geometry, geometric representation theory, noncommutative algebra, and mathematical physics (especially integrable systems). I'm part of an NSF-funded Focused Research Group (FRG)---studying the mathematics of the N=(2,0) superconformal field theories in 6D that arise as limits of the M5-brane theory---with David Ben-Zvi, Dan Freed, Edward Frenkel, Mike Hopkins, Greg Moore, David Nadler, Andy Neitzke, and Constantin Teleman. We are organizing a workshop, Geometric Unification from Six-Dimensional Physics, in Banff, May 24-29, 2015. I will be an Associate in UIUC's Center for Advanced Study in Fall, 2014. In May, 2014 I will be a Simons Visiting Professor at Oberwolfach and Oxford. In Trinity Term, 2013 I was a Visiting Fellow at All Souls College, Oxford. In Winter, 2013 I was a Research Professor at MSRI. In 2013, I received the UIUC Math Department's Distinguished Teaching Award for Tenured Faculty. In 2009-2010, I was a Helen Corley Petit Scholar in the College of Liberal Arts and Sciences at Illinois. In December, 2008 I was an NAS-Cinvestav Lecturer in Mexico City. In 2007-2008 I was a Beckman Fellow in UIUC's Center for Advanced Study. Click here for the Workshop on D-Bundles and Integrable Hierarchies in Ann Arbor
(May, 2007, devoted to my paper with Ben-Zvi with the same title).
I received my PhD from the University of Chicago in June 2000, under the direction of Kevin Corlette. In 2000--2004 I was an assistant professor and NSF postdoctoral fellow at Michigan with Bill Fulton as my NSF supervisor. In spring 2002 I visited MSRI as a postdoctoral fellow. We hosted a Wall-crossing in Mathematics and Physics workshop in Urbana, May 24-28, 2010. In March, 2009, David Ben-Zvi and I organized a session of the AMS sectional meeting on Algebraic Geometry, Representation Theory, and Topological Field Theories. Notes are here. Illinois is now an institutional partner of the African Institute for Mathematical Sciences. ``The motivation for a physicist to study 1-dimensional problems is best illustrated by the story of the man who, returning home late at night after an alcoholic evening, was scanning the ground for his key under a lamppost; he knew, to be sure, that he had dropped it somewhere else, but only under the lamppost was there enough light to conduct a proper search.'' --F. Calogero Click here for the on-line repository of mathematics, i.e. BZ's notes page. Click here to access my mathematical genealogy. Students: start clicking on "advisor" and trace it back to Leibniz! u-c: smile politely :: prairie fruits :: champaign taste :: s. o. m. :: carle park :: the art |
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