Mark A. Stern
- Professor of Mathematics
Monday and Tuesday 2-3
Research Areas and Keywords
Geometry: Differential & Algebraic
PDE & Dynamical Systems
The focus of Professor Stern's research is the study of analytic problems arising in geometry, topology, physics, and number theory.
In recent work, Professor Stern has studied analytical, geometric, and topological questions arising from Yang-Mills theory, Hodge theory, and number theory. These have led for example to a study of (i) stability questions arising in Yang Mills theory and harmonic maps, (ii) energy minimizing connections and instantons, (iii) new Hodge structures on vector bundles, (iv) new bounds for eigenvalues of Laplace Beltrami operators, and (v) new bounds for betti numbers.
Stern, M. "Eta invariants and Hermitian locally symmetric spaces." Journal of Differential Geometry 31.3 (January 1, 1990): 771-789. Full Text
Paban, S, Sethi, S, and Stern, M. "Non-commutativity and Supersymmetry(Published online)." Journal of High Energy Physics 2002.03: 012-012. Full Text
Stern, MA. "Mechanical D Branes and B Fields.".