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. BlĂ„sten, H. Isozaki, M. Lassas), arXiv:2101.10026.

### Seminars:

Inverse Problems Seminar (University of Helsinki)

Geometry Luncheon Seminar (Penn State)