Mark A Stern, Professor

Contact Info:

Office Location:	116 Physics
Office Phone:	(919) 660-2840
Email Address:
Web Page:	https://www.math.duke.edu/faculty/stern

Teaching (Spring 2010):

• MATH 267.01, DIFFERENTIAL GEOMETRY Synopsis

  Physics 205, MWF 08:45 AM-09:35 AM

• MATH 378.03, RESEARCH IN ALGEGRAIC GEOMETRY

  Physics 119, MWF 01:30 PM-02:20 PM

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,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.

Current Ph.D. Students   (Former Students)

• Jeffrey Streets  
• Janice McCarthy  

Recent Publications   (More Publications)

1. M.A. Stern, Spectral asymmetry for manifolds of special holonomy (Preprint, 2009)
2. M.A. Stern, Geometry of minimal energy Yang-Mills connections (Preprint, August, 2008) [arXiv:0808.0667]  [abs]
3. M.A. Stern, Fixed point theorems from a de Rham perspective, Asian Journal of Mathematics (Accepted, 2008)
4. A. Degeratu and M.A. Stern, The positive mass theorem for non-spin manifolds (Preprint, December, 2004) [0412151]
5. M.A. Stern, B fields from a Luddite perspective, in Proceedings of 3rd International Symposium on Quantum Theory and Symmetries (QTS3) (2004)

Recent Grant Support

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