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 (Fall 2013):

• MATH 531.01, BASIC ANALYSIS I Synopsis

  Physics 227, MWF 10:20 AM-11:10 AM

• MATH 690-20.01, DIFFERENTIAL GEOMETRY (TOP) Synopsis

  Physics 119, MWF 08:45 AM-09:35 AM

Office Hours:

Tuesday 2:00-3:00
Wednesday 2:00-3:00

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, Hodge 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 Hodge 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) new Hodge structures on vector bundles (iv) the analysis of harmonic spinors on singular spin structures

Current Ph.D. Students   (Former Students)

• Jingxian Huang  
• Phillip V. Andreae  

Postdocs Mentored

• Luca Di Cerbo (2011 - present)  

Recent Publications   (More Publications)

1. Ilarion V. Melnikov, Callum Quigley, Savdeep Sethi, M.A. Stern, Target Spaces from Chiral Gauge Theories, hep-th arxiv: 1212.1212 (Preprint, December 12, 2012) [1212]  [abs]
2. M.A. Stern, Geometry of stable Yang--Mills connections, in Advanced Lectures in Mathematics Volume 21: Advances in Geometric Analysis (July, 2012), ISBN ISBN 9781571462480  [abs]
3. Callum Quigley, Savdeep Sethi, and Mark Stern, Novel Branches of (0,2) Theories, JHEP, vol. 1209 no. 064 (2012), ISSN 1029-8479 [3228]  [abs]
4. B. Charbonneau and M. Stern, Asymptotic Hodge Theory of Vector Bundles, Geometry and Topology (Submitted, December 2, 2011) [DG/1111.0591], [0591]  [abs]
5. Anda Degeratu and M.A. Stern, Witten spinors on nonspin manifolds (Submitted, December 1, 2011) [DG/1112.0194], [0194]  [abs]

Recent Grant Support

• Asymptotic Hodge Theory and Instantons, National Science Foundation, DMS-1005761, 2010/09-2013/08.      
• Bound states, singularities, and supersymmetry, NSF, 2002/07.