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: 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.
Some
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
the recent
papers and
more
links displayed above.
1992 lectures on TQFT
2001 IAS/Park City Lectures on Field Theory and
Supersymmetry [ps, pdf]
(Unfinished) notes on Dirac operators
Lecture Slides
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
Slides
and paper from a talk "The Cobordism Hypothesis"
at Current Events Bulletin, Joint Mathematics Meeting, January, 2012
Lecture notes from a series of talks on "Twisted
K-theory and orientifolds" at K-Theory and Quantum Fields, Erwin Schrodinger
Institute, June, 2012
Slides
[pdf] from a talk "3-dimensional TQFTs
through the lens of the cobordism hypothesis"
at Stanford Topology Conference, July 2012
Slides
from a talk "4-3-2-8-7-6"
at "Aspects of Topology" in honor of Graeme Segal, Oxford, December 2012
Teaching
M392C: Bordism: Old and New (Fall '12)
M375T: Multivariable Analysis (Spring '13)
Outreach
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
(slides)
