Areas of Expertise
Spectral theory of differential operators on manifolds and infinite graphs
Education
Ph.D. in Mathematics
Northeastern University
Biography
Affiliations
American Mathematical Society
Publications & Presentations
Publications:

Two realizations of Schrödinger operators on Riemannian manifolds. Journal of Mathematical Analysis and Applications 354 (2009), 125133.

On maccretive Schrödinger operators with singular potentials on Riemannian manifolds. Journal of Geometry and Physics 58 (2008), 368376.

On maccretive Schrödinger operators L^1 spaces on manifolds of bounded geometry. Proceedings of the Edinburgh Mathematical Society (2) 51 (2008), 215227.

On maccretive Schrödinger operators in L^p spaces on manifolds of bounded geometry. Journal of Mathematical Analysis and Applications 324 (2006), 762772.

Separation property for Schrödinger operators on Riemannian manifolds. Journal of Geometry and Physics 56 (2006), 12831293.

A property of Sobolev spaces on Riemannian manifolds. Electronic Journal of Differential Equations Vol. 2005, No. 77, (2005), 10 pp.

Positive perturbations of selfadjoint Schrödinger operators on Riemannian manifolds. International Journal of Geometric Methods in Modern Physics 2 (2005), 543552.

On holomorphic families of Schrödingertype operators with singular potentials on manifolds of bounded geometry. Differential Geometry and its Applications 21 (2004), 361377.

Selfadjointness of Schrödingertype operators with locally integrable potentials on manifolds of bounded geometry. Journal of Mathematical Analysis and Applications 295 (2004), 513526.

The form sum and the Friedrichs extension of Schrödingertype operators on Riemannian manifolds. Proceedings of the American Mathematical Society 132 (2004), 147156.

Selfadjointness of Schrödingertype operators with singular potentials on manifolds of bounded geometry. Electronic Journal of Differential Equations, Vol. 2003 (2003), No. 64, 8pp.

On maccretive Schrödingertype operators with singular potentials on manifolds of bounded geometry. International Journal of Mathematics and Mathematical Sciences 38 (2003), 24152423.

Localized selfadjointness of Schrödingertype operators on Riemannian manifolds. Journal of Mathematical Analysis and Applications 283 (2003), 304318.

Essential selfadjointness of Schrödingertype operators on manifolds (in collaboration with Maxim Braverman and Mikhail Shubin). Russian Mathematical Surveys 57 (4) (2002), 641692.
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