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
- Inequalities and separation for covariant Schroedinger operators. (in collaboration with Hemanth Saratchandran). Journal of Geometry and Physics 138 (2019), 215--222.
- Two realizations of Schroedinger operators on Riemannian manifolds. Journal of Mathematical Analysis and Applications 354 (2009), 125--133.
- On m-accretive Schroedinger operators with singular potentials on Riemannian manifolds. Journal of Geometry and Physics 58 (2008), 368--376.
- On m-accretive Schroedinger operators L^1 spaces on manifolds of bounded geometry. Proceedings of the Edinburgh Mathematical Society (2) 51 (2008), 215-227.
- On m-accretive Schroedinger operators in L^p spaces on manifolds of bounded geometry. Journal of Mathematical Analysis and Applications 324 (2006), 762--772.
- Separation property for Schroedinger operators on Riemannian manifolds. Journal of Geometry and Physics 56 (2006), 1283--1293.
- A property of Sobolev spaces on Riemannian manifolds. Electronic Journal of Differential Equations Vol. 2005, No. 77, (2005), 10 pp.
- Positive perturbations of self-adjoint Schroedinger operators on Riemannian manifolds. International Journal of Geometric Methods in Modern Physics 2 (2005), 543--552.
- On holomorphic families of Schroedinger-type operators with singular potentials on manifolds of bounded geometry. Differential Geometry and its Applications 21 (2004), 361-377.
- Self-adjointness of Schroedinger-type operators with locally integrable potentials on manifolds of bounded geometry. Journal of Mathematical Analysis and Applications 295 (2004), 513-526.
- The form sum and the Friedrichs extension of Schroedinger-type operators on Riemannian manifolds. Proceedings of the American Mathematical Society 132 (2004), 147-156.
- Self-adjointness of Schroedinger-type operators with singular potentials on manifolds of bounded geometry. Electronic Journal of Differential Equations, Vol. 2003 (2003), No. 64, 8pp.
- On m-accretive Schroedinger-type operators with singular potentials on manifolds of bounded geometry. International Journal of Mathematics and Mathematical Sciences 38 (2003), 2415-2423.
- Localized self-adjointness of Schroedinger-type operators on Riemannian manifolds. Journal of Mathematical Analysis and Applications 283 (2003), 304-318.
- Essential self-adjointness of Schroedinger-type operators on manifolds (in collaboration with Maxim Braverman and Mikhail Shubin). Russian Mathematical Surveys 57 (4) (2002), 641-692.