# Gregory W. Moore

## Directory information

 Position: Faculty Research group: Email address: Telephone: (732) 445-4375 Dept. Fax: (732) 445-4343 Office: Serin E362 Mailing address: Greg Moore NHETC Department of Physics and Astronomy Rutgers, The State University of New Jersey 136 Frelinghuysen Road Piscataway, NJ 08854-8019 USA

## Teaching

Advanced Topics in Mathematical Physics, Fall 2010. will be offered instead. Lectures can be viewed online here

## Research Activities

My work focuses on mathematical physics, with an emphasis on string theory, M-theory, and gauge theories more generally.
My work places particular emphasis on the underlying mathematical structures and applications to and from modern mathematics.
Specific research interests include:

1. The theory of branes and generalized abelian gauge theories in supergravity.
This involves interesting topological issues related to generalized differential cohomology theories, especially K-theory.
There are also interesting relations to the theory of self-dual fields, anomaly cancellation, and noncommutative geometry.
2. Effective low energy supergravity theories in string compactification and the computation of nonperturbative stringy effects in effective supergravities.
3. D-branes on Calabi-Yau manifolds and BPS state counting. Relations to Borcherds products, automorphic forms, black-hole entropy, and wall-crossing.
4. Applications of the theory of automorphic forms to conformal field theory, string compactification, black hole entropy counting, and the AdS/CFT correspondence.
5. Potential connections to number theory. For example - I pointed out in 1998 that the attractor mechanism
of supersymmetric black holes singles out Calabi-Yau varieties with relations to complex multiplication.
6. Conformal field theories. Rational conformal field theories, especially applications to the theory of anyons and nonabelions.
7. Topological field theories, and applications to invariants of manifolds.
8. String field theory.
9. String cosmology and time-dependence in string theory
10. Does the alleged landscape of N=1 effective four-dimensional string vacua'' really exist?

## Expository, Historical, and Philosophical

1. What is a brane?'' . Published in: Notices of the American Mathematical Society, Vol. 52, No. 2, pp.214-215.
2. How many black holes fit on the head of a pin?'', coauthored with Frederik Denef. Published in: Int.J.Mod.Phys. D17 (2008) 679-684, Gen.Rel.Grav. 39 (2007) 1539-1544 .
3. The Impact of D-branes on Mathematics''. I wrote this trying to collect my thoughts before appearing on a panel at JOEFEST at the KITP, February 2014 .
4. Response to the 2014 Eisenbud Prize''. I wrote this since the AMS requested a response.
5. Some Comments on Physical Mathematics''. I wrote this to try to collect my thoughts, preparing a talk for the 2014 Heineman Prize. It is an expansion on the previous essay. The talk is here .
6. Physical Mathematics and the Future''. This is the essay which is meant to accompany my vision talk'' in the summary section of Strings 2014 in Princeton. It is a further expansion of the previous essay (without the review of N=2 supersymmetric theories). The video of the accompanying talk is available from the conference website here and also from YouTube here .

## Some Talks

If you are looking for  `D-branes and K-theory in 2D topological field theory,’’ hep-th/0609042  you can get a pdf file here Dbranes_Ktheory_Final.pdf,

Or a postscript file here (warning 23MB!) Dbranes_Ktheory_Final.ps, or you can get   the tex file Dbranes_Ktheory_Final.tex, and the  figures as    ClayFigsFinal_EPS.zip   or  as  ClayFigsFinal_GIF.zip