Research Interests for Mark A Stern
Research Interests: Geometric Analysis,Yang-Mills theory, 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 Yang-Mills theory, string theory, and M theory. These have led for example to a study of
(i) energy minimizing connections and instantons,
(ii) non fredholm index theories and exotic fixed point theorems, and
(iii) the structure
of groundstate wave functions for supersymmetric
quantum mechanical systems.
- Recent Publications
- M.A. Stern, Spectral asymmetry for manifolds of special holonomy
(Preprint, 2009)
- M.A. Stern, Geometry of minimal energy Yang-Mills connections
(Preprint, August, 2008) [arXiv:0808.0667] [abs]
- M.A. Stern, Fixed point theorems from a de Rham perspective,
Asian Journal of Mathematics
(Accepted, 2008)
- 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)