David Ben-Zvi

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 and John Francis.

My graduate students are Parker Lowrey and Carl Mautner.

Notes on Topological Field Theory from a lecture series at the KITP, Santa Barbara, July 2008. Check out also the audio and video .

I spent Spring 2008 as a Member of the Institute for Advanced Study in Princeton, as part of the program on New Connections of Representation Theory to Algebraic Geometry and Physics. Check out my collection of notes from the program.

The 2007 London Mathematical Society Invited Lecture Series: home page, abstracts, notes and videos.

GRASP (Geometry, Representations, And Some Physics) -- an electronic source for expository streaming--video lectures, notes, and references for beginning graduate students (funded by an NSF CAREER grant). [Not to be confused with Greece Residents Assisting Stray Pets and other GRASP pages]
My Geometric Langlands page contains various links to introductory lectures, survey papers, notes and other references for the geometric Langlands program and related areas.
GRASP notes page, containing a (growing) collection of lecture notes, including many on geometric Langlands topics.
Publications and Preprints and Annotated Bibliography (see also the arXiv search for my papers.)
Curriculum Vitae.
My outdated Math Page contains some informal essays and links.

I miss the nuance of the old topos.

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]


Department of Mathematics
University of Texas, Austin
Office 10.168
(512)471-8151
benzvi@math.utexas.edu

Up: University of Texas, Austin Mathematics Department

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