I am currently a postdoc at the University of Helsinki working with Prof. Matti Lassas. I received my Ph.D. from the Pennsylvania State University in May 2019 under the supervision of Prof. Dmitri Burago. My research interests are at the interface of Geometry and Analysis. I am interested in applying geometric methods for manifolds and metric spaces to the study of nonlinear equations. Recently I have been working in spectral geometry and inverse problems, especially regarding the relation between the geometry of a manifold and the spectra of elliptic operators.
Publications and Preprints:
1. How large isotopy is needed to connect homotopic diffeomorphisms, (with D. Burago, T. Ozuch), Journal of Topology and Analysis 12 (2020), 1213-1222.