David Ben-Zvi

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

I am a 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).

  • My Curriculum Vitae.

    ASPECTS of Topology - conference in honor of Graeme Segal's 70th birthday

    Categorical Representation Theory:

    Link to a graduate workshop I'm leading in Eugene this August, sponsored by Nick Proudfoot's CAREER grant.
    Slides for lecture at Luminy, July 2012
    New GRASP Lectures Available!

    I miss the nuance of the old topos.

    Sunrise on Io by David Ben-Zvi and Paul Burchard. Copyright 1993 by The Geometry Center, University of Minnesota. Used with permission.

    More cool fractal pictures I helped make at the Geometry Center

    Our Himalayan Adventure, David and friends in Himachal and Ladakh 2003

    Click here for some old pictures.

    I am an avid movie fan. Check out some lists of movies I've seen.

    Some quotes collected from my U.of Chicago Honors Calculus class.

    A brief personal history

    Image from Outside In:

    [Transparent Peach Eversion]

    [Copyright Summer 1992 by The Geometry Center, Univerity of Minnesota. All rights reserved - see more info]

    Department of Mathematics
    University of Texas, Austin
    Office 10.168

    Up: University of Texas, Austin Mathematics Department

    Created: Feb 19 1996 --- Last modified: August 25 2007