Dan Freed's Home Page

I am a professor in the Department of Mathematics at the University of Texas at Austin. For more information about the Geometry Group here in Austin, please follow the indicated link.

Curriculum vita [pdf]

Address and Phone

Department of Mathematics
University of Texas at Austin
Austin, TX 78712

(512) 471-7136 (office)
(512) 471-9038 (fax)

Email address: dafr@math.utexas.edu

Research

I have worked on a variety of problems centering around global issues in geometry and global analysis. My work often relates to questions in theoretical physics (quantum field theory, string theory, and M-theory), and I count physicists among my collaborators. One of my current projects, joint with Michael Hopkins and Constantin Teleman, concerns twisted K-theory and representations of loop groups.

Some recent papers | more

On Determinant Line Bundles

Classical Chern-Simons, Part 2 [ps, pdf]

Expository Papers

1992 lectures on TQFT

2001 IAS/Park City Lectures on Field Theory and Supersymmetry [ps, pdf]

(Unfinished) notes on Dirac operators

Lectures

As part of a series of lectures on the Clay problems, I spoke in April, 2001 about the Hodge conjecture. You can view the slides from the lecture [Internet Explorer, Netscape with frames/Safari, no frames]

In April, 2006 I gave the Andrejewski Lectures at the Max Planck Institute for Mathematics in the Sciences in Leipzig. The lectures are entitled "Twisted K-theory and the Verlinde Algebra". You can view the slides from the first lecture; the remaining lectures were blackboard talks.

I spoke at the MSRI 25th Anniversary Celebration in January, 2008. The talk is entitled "Remarks on Chern-Simons Theory" (slides, pdf)

Slides from a talk "The Geometry and Topology of Orientifolds" at a workshop Topology, C*-algebras, and String Duality, May, 2009

Slides from a talk "Dirac charge quantiation, K-theory, and orientifolds" at a workshop "Mathematical methods in general relativity and quantum field theories", November, 2009

Teaching

M397S: Graduate Literature Seminar in Geometry (Spring '08)

M382E: Algebraic Topology (Fall '08)

M392C: Topics in Geometry and Quantum Physics ('09-'10)

Outreach

Saturday Morning Math: Close Enough for Horseshoes, Hand Grenades...and Analysis
     Keynote slides (lower-res faster)
     Mathematica demos from the lecture (pdf)