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.
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 1998.06 (June 1, 1998): 012-012. Full Text
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.
Sethi, S, and Stern, M. "A comment on the spectrum of H-monopoles." Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 398.1-2 (1997): 47-51.
Sethi, S, Stern, M, and Zaslow, E. "Monopole and dyon bound states in N = 2 supersymmetric Yang-Mills theories." Nuclear Physics, Section B 457.3 (1995): 484-510. Full Text Open Access Copy
Stern, M. "Index theory for certain complete kähler manifolds." Journal of Differential Geometry 37.3 (January 1, 1993): 467-503.
Pardon, WL, and Stern, MA. "L2 -∂-cohomology of complex projective varieties." Journal of the American Mathematical Society 4.3 (January 1, 1991): 603-621. Full Text