http://www.math.utexas.edu/users/benzvi/

David Ben-Zvi

Course page for Literacy Seminar in Geometry and Topology, Fall 2013.

I am an Associate Professor in the Geometry Research Group of the Mathematics Department, University of Texas, Austin.

I am interested in the interface between representation theory, algebraic geometry and mathematical physics. One focus of my current research is a new approach, joint with David Nadler to the representation theory of real and complex Lie groups built from a combination of the geometric Langlands program, topological field theory and derived algebraic geometry. Another program I am working on, joint with Tom Nevins, applies noncommutative geometry, in particular the geometry of differential operators, to questions concerning integrable systems. I am also interested in the applications of algebraic structures coming from physics (such as conformal field theory and vertex algebras) to the geometry of moduli spaces. This is the subject of my work with my advisor Edward Frenkel; check out our book Vertex Algebras and Algebraic Curves.

My other collaborators are Indranil Biswas, Matt Szczesny (my academic brother), Reimundo Heluani, John Francis, Sam Gunningham, David Helm, David Jordan, Anatoly Preygel, Jonathan Block, Nigel Higson, Adrien Brochier, Andrew Blumberg and Aaron Royer.

My current graduate students are Lee Cohn, Iordan Ganev, Hendrik Orem and Pavel Safronov. My former graduate students are Parker Lowrey (Ph.D. 2010) and Carl Mautner (Ph.D. 2010).