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 a postdoctoral researcher 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 on geometric analysis, 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), to appear in Journal of Topology and Analysis.
2. Graph approximations to the Laplacian spectra, to appear in Journal of Topology and Analysis.
3. Approximation of connection Laplacians spectra, (with D. Burago, S. Ivanov, Y. Kurylev), preprint.
4. Stability of the Gel'fand inverse boundary spectral problem, (with D. Burago, S. Ivanov, Y. Kurylev, M. Lassas), in preparation.

Past Teaching:

Penn State
Math 022 WD, College Algebra II (World Campus), 2015-2018.
Math 022, College Algebra II, Fall 2014.

Seminars:

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