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]
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
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.
Classical Chern-Simons, Part 2 [ps, pdf]
IAS/Park City Lectures on Field Theory and Supersymmetry [ps, pdf]
(Unfinished) notes on Dirac operatorsM427L-AP: Advanced Calculus (Fall '07)
M397S: Graduate Literature Seminar in Geometry (Spring '08)
M382E: Algebraic Topology (Fall '08)
Saturday Morning Math: Close Enough for
Horseshoes, Hand Grenades...and Analysis
     Keynote slides (lower-res faster)
     Mathematica demos from
the lecture (pdf)