Dan Freed's Home Page
Address and Phone
Department of Mathematics
University of Texas at Austin
Austin, TX 78712
(512) 471-7136 (office)
(512) 471-9038 (fax)
Email address: email@example.com
I have worked on a variety of problems centering around global
geometry and global analysis. My work often relates to
theoretical physics (quantum field theory, string theory, and
I count physicists among my collaborators.
recent papers | more
On Determinant Line Bundles
Classical Chern-Simons, Part 2 [ps, pdf]
Some Expository Papers
There are more expository papers among the links at
links displayed above.
1992 lectures on TQFT
2001 IAS/Park City Lectures on Field Theory and
Supersymmetry [ps, pdf]
(Unfinished) notes on Dirac operators
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
Slides from a talk "Modularity and Invertibility"
at the Michael Freedman 60th Birthday Symposium, April, 2011
Slides from a talk "Remarks on fully
extended 3-dimensional topological field theories"
at String-Math, June, 2011
and paper from a talk "The Cobordism Hypothesis"
at Current Events Bulletin, Joint Mathematics Meeting, January, 2012
[pdf] from a talk "3-dimensional TQFTs
through the lens of the cobordism hypothesis"
at Stanford Topology Conference, July 2012
from a talk "4-3-2-8-7-6"
at "Aspects of Topology" in honor of Graeme Segal, Oxford, December 2012
from a talk "What is Quantum Field Theory?"
at "Berkeley Math-Physics Meeting", Berkeley, April 2015
M392C: Bordism: Old and New (Fall '12)
M375T: Multivariable Analysis (Spring '13)
M365G: Curves and Surfaces (Fall '13)
M382C: Algebraic Topology (Fall '13)
Math263y (Harvard): Topics in Geometry and
Physics: K-theory (Fall '14)
Saturday Morning Math: Close Enough for
Horseshoes, Hand Grenades...and Analysis
Keynote slides (lower-res faster)
Mathematica demos from
the lecture (pdf)
Saturday Morning Math: How to Solve It