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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

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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]

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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
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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

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

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Teaching

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)

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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)