I am a tenure-track Associate Professor in the School of Mathematical Sciences at Fudan University, My research interests lie in inverse problems, partial differential equations, microlocal analysis and scientific computing.
Teaching
Employment
- Asssociate Professor (tenure-track), School of Mathematical Sciences, Fudan University, Sep. 2021 - Now
- Postdoctoral Fellow, IAS, The Hong Kong University of Science and Technology, Mar. 2019 - Sep. 2021
- Visiting Lecturer, Department of Mathematics, University of Washington, Sep. 2018 - Mar. 2019
- Postdoctoral Fellow, Department of Computational and Applied Mathematics, Rice University, July 2018 - Aug. 2018
Education
- Ph. D. in Computational and Applied Mathematics, May 2018, Rice University
- Ph. D. Student in Mathematics, Aug. 2013 - Aug. 2015, Purdue University
- M. S. in Mathematics, June 2013, Fudan University
- B. S. in Mathematics, June 2010, Sichuan University
Publications
- (with G. Uhlmann) Invertibility of local geodesic transverse and mixed ray transforms II: higher order tensors, preprint, arXiv:2402.12640
- (with G. Uhlmann) Invertibility of local geodesic transverse and mixed ray transforms I: basic cases, preprint, arXiv:2401.09017
- (with G. Uhlmann) Determination of the density in a nonlinear elastic wave equation, Math. Ann., to appear.
- (with S. Lu)Increasing stability of a linearized inverse boundary value problem for a nonlinear Schrödinger equation on transversally anisotropic manifolds, Inverse Problems, to appear.
- (with Y. Zhao)Determination of piecewise homogeneous sources for elastic and electromagnetic waves, Inverse Probl. Imaging, 3 (2023) 614-628.
- (with R. Lai, G. Uhlmann and H. Zhou)Single pixel X-ray transform and related inverse problems, SIAM J. Imaging Sci., 15 (2022) 1894-1909.
- (with S. Acosta and G. Uhlmann) Nonlinear ultrasound imaging modeled by a Westervelt equation, SIAM J. Appl. Math., 82 (2022) 408–426.
- (with P. Hintz and G. Uhlmann) The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds, Comm. Partial Differential Equations, 47 (2022) 1894-1909.
- (with G. Bao and X. Xu) Inverse spectral problem for a damped wave operator, SIAM J. Appl. Math., 81 (2021) 1799-1820.
- (with P. Li and Y. Zhao) Lipschitz stability for an inverse source scattering problem at a fixed frequency, Inverse Problems, 37 (2021) 025003.
- (with P. Hintz and G. Uhlmann) An inverse boundary value problem for a semilinear wave equation on Lorentzian manifolds, Int. Math. Res. Not., 2022 (2022) 13181-13211.
- (with G. Uhlmann) Inverse problems for nonlinear hyperbolic equations, Discrete Contin. Dyn. Syst., 41 (2021) 455-469.
- (with P. Li and Y. Zhao) Stability for the acoustic inverse source problem in inhomogeneous media, SIAM J. Appl. Math., 80 (2020) 2547–2559.
- (with G. Uhlmann) On an inverse boundary value problem for a nonlinear elastic wave equation, J. Math. Pures Appl., 153 (2021) 114-136.
- (with M. V. de Hoop, T. Saksala and G. Uhlmann) Generic uniqueness and stability for the mixed ray transform, Trans. Amer. Math. Soc., 374 (2021), 6085-6144.
- (with M. V. de Hoop, A, Iantchenko and R. D. van der Hilst) Semiclassical inverse spectral problem for seismic surface waves in isotropic media: part II. Rayleigh waves, Inverse Problems, 36 (2020) 075016.
- (with M. V. de Hoop, A, Iantchenko and R. D. van der Hilst) Semiclassical inverse spectral problem for seismic surface waves in isotropic media: part I. Love waves, Inverse Problems, 36 (2020) 075015.
- (with X. Xu) Inversion of trace formulas for a Sturm-Liouville operator, J. Comput. Math., 140 (2022) 398-416.
- (with M. V. de Hoop and G. Uhlmann) Inverting local geodesic ray transform of higher rank tensors, Inverse Problems, 35 (2019) 115009.
- (with M. V. de Hoop and T. Saksala) Mixed ray transform on simple 2-dimensional Riemannian manifolds, Proc. Amer. Math. Soc., 147 (2019) 4901-4913.
- (with Y. Yang) Unique determination of a transversely isotropic perturbation in a linearized inverse boundary value problem for elasticity, Inverse Probl. Imaging, 13 (2019) 1309-1325.
- (with M. V. de Hoop and G. Nakamura) Unique recovery of piecewise analytic density and stiffness tensor from the elastic-wave Dirichlet-to-Neumann map, SIAM J. Appl. Math., 79 (2019) 2359-2384
- (with M. V. de Hoop, A. Iantchenko and G. Nakamura) Semiclassical analysis of elastic surface waves, preprint, arXiv:1709.06521.
- (with M. V. de Hoop and G. Nakamura) Reconstruction of Lamé moduli and density at the boundary enabling directional elastic wavefield decomposition, SIAM J. Appl. Math., 77 (2017) 520-536.
- (with E. Beretta, M. V. de Hoop, E. Francini and S. Vessella) Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves, Inverse Problems, 33 (2017) 035013.
Expository work
- Notes on tensor tomography on Riemannian manifolds with boundaries, arXiv:2009.01459
Selected Presentations
- IAS workshop on Inverse Problems, Imaging and Partial Differential Equations, HKUST, Hong Kong, China
- ICIAM 2023 Tokyo, Minisymposium on Advances in Inverse Problems and Imaging, Tokyo, Japan
- The 12th Conference on Inverse Problems, Imaging and Applications, Southern University of Science and Technology, Shenzhen, China,
- CSIAM Annual Meeting, Minisymposium on Inverse Problems and Imaging, Nov. 2022.
- Geometrical Inverse Problems, Linz, Austria, Nov. 2022.
- Joint Workshop on Applied and Computational Mathematics, online, Nov. 2021
- Joint Fudan-RICAM Seminar on Inverse Problems, online, Dec. 2020.
- Seminar, Northeast Normal University, online, Oct. 2020.
- Seminar, Southern University of Science and Technology, online, Jun. 2020.
- Minisymposium on Recent Advances in Geometric Inverse Problems, Applied Inverse Problems Conference, Grenoble, France, July 2019.
- Minisymposium on Inverse Problems in Elastic Medium, Applied Inverse Problems Conference, Grenoble, France, July 2019.
- Seminar, Zhejiang University, Hangzhou, China, Jun. 2019.
- The 11th Conference on Inverse Problems, Imaging and Applications, Lanzhou, China, Jun. 2019.
- The 5th East Asia Section of IPIA Young Scholars Symposium, Beijing, China, Jun. 2019.
- Seminar, Hong Kong University of Science and Technology, Hong Kong, China, May. 2019.
- Canadian Mathematical Society Winter Meeting, Vacouver, Canada, Dec. 2018.
- Differential Geometry and PDE Seminar, University of Washington, Seattle, WA, USA, Oct. 2018.
- International Workshop on Inverse Problems for PDEs, Nanjing, China, Sep. 2018.
- SIAM Annual Meeting, Portland, OR, USA, July 2018.
- Seminar, Zhejiang University, Hangzhou, China, Jun. 2017.
- Contributed Talk, Applied Inverse Problem conference, Hangzhou, China, Jun. 2017.
- Graduate Seminar, Rice University, Houston, TX, USA, Feb. 2017.
- IAS Workshop on Inverse Problems, Imaging and PDEs, HKUST, Hong Kong, China, Dec. 2016.
- Seminar, Fudan University, Shanghai, China, May 2016.
- Graduate Seminar, Rice University, Houston, TX, USA, Nov. 2015.