Mark A Stern, Professor and Chair

Mark A Stern
Office Location:  116 Physics Bldg
Office Phone:  (919) 660-2840
Email Address: send me a message
Web Page:  https://www.math.duke.edu/faculty/stern

Office Hours:

Tuesday/Thursday 2-3
Education:

B.S. Mathematics, Texas A & M, 1980
Ph.D. Mathematics, Princeton Univ, 1984
Specialties:

Geometry
Mathematical Physics
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.

Current Ph.D. Students  

Recent Publications

  1. M.A. Stern, Fixed point theorems from a de Rham perspective, math.DG (Preprint, 2006)
  2. A. Degeratu and M.A. Stern, The positive mass theorem for non-spin manifolds (Preprint, December, 2004) [0412151]
  3. M.A. Stern, B fields from a Luddite perspective, in Proceedings of 3rd International Symposium on Quantum Theory and Symmetries (QTS3) (2004)
  4. M.A. Stern, Mechanical B fields and D branes (Preprint, 2003) [hep-th /0310020]
  5. S. Paban, S. Sethi, and M. Stern, Non-commutativity and Supersymmetry, JHEP, 0203, (2002), 012 [0201259]
Recent Grant Support