Jinpeng Lu

Postdoctoral researcher
Department of Mathematics and Statistics
University of Helsinki, Finland
Office: Exactum C329
Email: jinpeng.lu@helsinki.fi

About me:

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.
2. Graph approximations to the Laplacian spectra, to appear in Journal of Topology and Analysis.
3. Approximations of the connection Laplacian spectra, (with D. Burago, S. Ivanov, Y. Kurylev), arXiv:2012.09997.
4. Stability of the Gel'fand inverse boundary problem via the unique continuation, (with D. Burago, S. Ivanov, M. Lassas), arXiv:2012.04435.
5. The Gel'fand's inverse problem for the graph Laplacian, (with E. BlÄsten, H. Isozaki, M. Lassas), arXiv:2101.10026.

Seminars:

Inverse Problems Seminar (University of Helsinki)
Geometry Luncheon Seminar (Penn State)