Mark A. Stern
- Professor of Mathematics
Research Areas and Keywords
Geometry: Differential & Algebraic
PDE & Dynamical Systems
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.
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.
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.
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.
Sethi, S, and Stern, M. "Supersymmetry and the Yang-Mills effective action at finite N." Journal of High Energy Physics 3.6 (1999): XIV-16.
Paban, S, Sethi, S, and Stern, M. "Supersymmetry and higher derivative terms in the effective action of Yang-Mills theories." Journal of High Energy Physics 2.6 (1998): XXII-6.
Paban, S, Sethi, S, and Stern, M. "Constraints from extended supersymmetry in quantum mechanics." Nuclear Physics B 534.1-2 (1998): 137-154.
Sethi, S, and Stern, M. "D-brane bound states redux." Communications in Mathematical Physics 194.3 (1998): 675-705.