Mark A Stern, Professor and Chair

Contact Info:

Office Location:	116 Physics Bldg
Office Phone:	(919) 660-2840
Email Address:
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   (Former Students)

• Jeffrey Streets  
• Janice McCarthy  

Recent Publications   (More 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

• Positive mass, singularities, and supersymmetry, NSF, 2005/07-2008/07.      
• Bound states, singularities, and supersymmetry, NSF, 2002/07.