Research Interests for Mark A Stern
Research Interests: Geometric Analysis,string theory
The focus of Professor Stern's research is the study of analytic problems arising in geometry, topology, and physics.
In recent work, Professor Stern has studied analytical, geometric, and topological questions arising from string theory and M theory. These have led to a study of
(i) non fredholm index theories,
(ii) constraints on supersymmetric Lagrangians arising in Yang Mills theory and M theory,
(iii) the structure
of groundstate wave functions for supersymmetric
quantum mechanical systems,
(iv) gravitational anomalies arising in M theory,
(v) L2 delbar-cohomology
of various moduli spaces.
(vi) questions in Yang-Mills theory. - Recent Publications
- M.A. Stern, Fixed point theorems from a de Rham perspective,
math.DG
(Preprint, 2006)
- A. Degeratu and M.A. Stern, The positive mass theorem for non-spin manifolds
(Preprint, December, 2004) [0412151]
- M.A. Stern, B fields from a Luddite perspective,
in Proceedings of 3rd International Symposium on Quantum Theory and Symmetries (QTS3)
(2004)
- M.A. Stern, Mechanical B fields and D branes
(Preprint, 2003) [hep-th /0310020]
- S. Paban, S. Sethi, and M. Stern, Non-commutativity and Supersymmetry,
JHEP, 0203, (2002), 012
[0201259]
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Mathematics Department