Mark A. Stern
Professor of Mathematics

The focus of Professor Stern's research is the study of analytic problems arising in geometry, topology,  physics, and number theory.

In recent work, Professor Stern has studied analytical, geometric, and topological questions arising from Yang-Mills theory, Hodge theory, and number 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 bounds for eigenvalues of Laplace Beltrami operators, and (iv) new bounds for betti numbers.

Current Research Interests

Currently I am interested in various aspects of the structure of yang mills moduli spaces. I am also studying various aspects of the interaction of geometry and topology and the spectrum of the Laplace beltrami operator on forms.  This includes spectral estimates motivated by questions in number theory and betti number estimates motivated by questions in geometric topology.

Office Hours

Wednesday: 10-11,  Thursday : 2-3

Current Appointments & Affiliations

Contact Information

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