Mark A. Stern

  • Professor of Mathematics
External address: 116 Physics Bldg, Durham, NC 27708
Internal office address: Box 90320, Durham, NC 27708-0320
Phone: (919) 660-2840

Research Areas and Keywords

Analysis
geometric analysis, elliptic partial differential equations
Geometry: Differential & Algebraic
geometric analysis, Yang Mills theory, Hodge theory, Index theory
Mathematical Physics
Yang Mills theory, String theory
PDE & Dynamical Systems
geometric analysis, elliptic partial differential equations
Topology
Index 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) stability questions arising in Yang Mills theory and harmonic maps, (ii) energy minimizing connections and instantons, (iii) new Hodge structures on vector bundles, (iv) the analysis of harmonic spinors on singular spin structures, and (v) non fredholm index theories and exotic fixed point theorems.

Education & Training
  • Ph.D., Princeton University 1984

  • B.S., Texas A&M University 1980

Paban, S, Sethi, S, and Stern, M. "I. Non-commutativity and supersymmetry." Journal of High Energy Physics 6.3 (2002): 183-200.

Britto-Pacumio, R, Maloney, A, Stern, M, and Strominger, A. "Spinning bound states of two and three black holes." Journal of High Energy Physics 2001.11 (November 1, 2001): 054-054. Full Text

Pardon, W, and Stern, M. "Pure hodge structure on the L2-cohomology of varieties with isolated singularities." Journal fur die Reine und Angewandte Mathematik 533 (2001): 55-80.

Britto-Pacumio, R, Maloney, A, Strominger, A, and Stern, M. "Spinning bound states of two and three black holes." Journal of High Energy Physics 5.11 (2001): XLIV-19.

Stern, M, and Yi, P. "Counting Yang-Mills dyons with index theorems." Physical Review D 62.12 (November 2000). Full Text Open Access Copy

Sethi, S, and Stern, M. "The structure of the D0-D4 bound state." Nuclear Physics B 578.1-2 (2000): 163-198.

Sethi, S, and Stern, M. "Invariance theorems for supersymmetric Yang-Mills theories." Advances in Theoretical and Mathematical Physics 4.2 (2000): 1-12.

Stern, M, and Yi, P. "Counting Yang-Mills dyons with index theorems." Physical Review D - Particles, Fields, Gravitation and Cosmology 62.12 (2000): 1-15.

Sethi, S, and Stern, M. "Supersymmetry and the Yang-Mills effective action at finite N." Journal of High Energy Physics 1999.06 (June 1, 1999): 004-004. Full Text

Paban, S, Sethi, S, and Stern, M. "Summing up instantons in three-dimensional Yang-Mills theories." Advances in Theoretical and Mathematical Physics 3.2 (1999): 1-18.

Pages