Ralph and Jean Storm Professor
Department of Mathematics
United States of America
Dr. Gesztesy joined the Baylor faculty as Storm Professor of Mathematics in August of 2016. Prior to Baylor he taught for 28 years at the University of Missouri, Columbia (1988-2016) and for 11 years at the University of Graz, Austria (1977-1988). He was Assistant Professor (Jan. 1977 - May 1982) and Associate Professor (June 1982 - Aug. 1988) at the Institute for Theoretical Physics of the University of Graz, Austria, Professor of Mathematics at the University of Missouri, Columbia (Sept. 1988 - Aug. 2016), and Houchins Distinguished Professor (Jan. 2002 - Aug. 2016) at the latter institution. He has lectured and held visiting positions at numerous institutions and supervised 7 Masters and 14 Ph.D. students. Currently, he is Editor in Chief of the Journal of Spectral Theory (EMS). Dr. Gesztesy’s research centers around applications of operator and spectral theory to a variety of problems connected to mathematical physics. More specifically, his areas of interest include Mathematical Physics, Spectral Theory, Operator Theory, Differential Equations, Completely Integrable Systems.
Mathematical Physics, Spectral Theory, Operator Theory, Differential Equations, Completely Integrable Systems.
A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions; with V. Tkachenko, J. Diff. Eq. 253, 400-437 (2012).
Spectral theory for perturbed Krein Laplacians in nonsmooth domains; with M. Ashbaugh, M. Mitrea, and G. Teschl, Adv. Math. 223, 1372-1467 (2010).
Decoupling of deficiency indices and applications to Schrödinger-type operators with possibly strongly singular potentials; with M. Mitrea, I. Nenciu, and G. Teschl, Adv. Math. 301, 1022-1061 (2016).