Jinpeng Lu

School of Mathematical Sciences
University of Science and Technology of China
Hefei, 230026, China 
Email: jinpeng.lu@ustc.edu.cn

About me:

I am (tenure-track) associate professor at University of Science and Technology of China. Previously, I was university researcher (Jan 2024 - May 2026) at the University of Helsinki, and postdoc (Aug 2019 - Dec 2023) at the University of Helsinki working with Matti Lassas. I received my Ph.D. from Penn State University in May 2019 under the supervision of Dmitri Burago.

My research interests are inverse problems and geometric analysis. My recent research focuses on the uniqueness and stability of inverse problems on non-smooth spaces. I am also interested in geometry of manifold learning and inverse problems on discrete graphs, especially their connections with manifolds.

Publications and Preprints:

[16] (with S. Honda) Gel'fand's inverse problem under Ricci curvature bounds, arXiv:2602.14527.
[15] Stability of Gel'fand's inverse interior spectral problem for Schrodinger operators, arXiv:2507.15560.
[14] (with M. de Hoop, M. Lassas, L. Oksanen, Z. Zhao) An inverse Signorini obstacle problem, to appear in Arch. Ration. Mech. Anal., arXiv:2503.19610.
[13] (with M. Lassas, T. Yamaguchi) Inverse spectral problems for collapsing manifolds II: quantitative stability of reconstruction for orbifolds, arXiv:2404.16448.
[12] (with Y. Kurylev, M. Lassas, T. Yamaguchi) Inverse spectral problems for collapsing manifolds I: uniqueness and stability, arXiv:1209.5875v3.
[11] (with M. de Hoop, M. Lassas, L. Oksanen) Stable recovery of coefficients in an inverse fault friction problem, Arch. Ration. Mech. Anal. 248 (2024), no. 64. doi
[10] (with J. Ilmavirta, M. Lassas, L. Oksanen, L. Ylinen) Quantum computing algorithms for inverse problems on graphs and an NP-complete inverse problem, Inverse Probl. Imaging 19 (2025), 660-692. doi
[9] (with M. de Hoop, M. Lassas, L. Oksanen) Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem, Comm. PDE 48 (2023), 286-314. doi
[8] (with E. Blåsten, P. Exner, H. Isozaki, M. Lassas) Inverse problems for locally perturbed lattices -- Discrete Hamiltonian and quantum graph, Ann. H. Lebesgue 7 (2024), 267-305. doi
[7] (with C. Fefferman, S. Ivanov, M. Lassas, H. Narayanan) Reconstruction and interpolation of manifolds II: Inverse problems with partial data for distances observations and for the heat kernel, Amer. J. Math. 147 (2025), 1331-1382. doi
[6] (with E. Blåsten, H. Isozaki, M. Lassas) Inverse problems for discrete heat equations and random walks for a class of graphs, SIAM J. Discrete Math. 37 (2023), 831-863. doi
[5] (with E. Blåsten, H. Isozaki, M. Lassas) Gel'fand's inverse problem for the graph Laplacian, J. Spectral Theory 13 (2023), 1-45. doi
[4] (with D. Burago, S. Ivanov, M. Lassas) Quantitative stability of Gel'fand's inverse boundary problem, Anal. PDE 18 (2025), 963-1035. doi
[3] (with D. Burago, S. Ivanov, Y. Kurylev) Approximations of the connection Laplacian spectra, Math. Z. 301 (2022), 3185-3206. doi
[2] Graph approximations to the Laplacian spectra, J. Topol. Anal. 14 (2022), 111-145. doi
[1] (with D. Burago, T. Ozuch) How large isotopy is needed to connect homotopic diffeomorphisms, J. Topol. Anal. 12 (2020), 1213-1222. doi