About me

I am an assistant professor in the School of Mathematics at the University of Minnesota. I obtained my PhD from the Department of Mathematics at the University of Washington under the supervision of professor Gunther Uhlmann. My research interests are mainly on inverse problems and partial differential equations. My detailed CV can be found here.

Publications

Partial data inverse problems for nonlinear magnetic Schrödinger equations. (with T. Zhou), Preprint available at arXiv:2007.02475 (2020).

Reconstruction of the emission coefficient in the nonlinear radiative transfer equation. (with C. Klingenberg and Q. Li), Preprint available at arXiv:2006.14674 (2020).

Inverse problems for fractional semilinear elliptic equations. (with Y.-H. Lin), Preprint available at arXiv:2004.00549 (2020).

Reconstruction of the collision kernel in the nonlinear Boltzmann equation. (with G. Uhlmann and Y. Yang), Preprint available at arXiv:2003.09549 (2020).

On diffusive scaling in acousto-optic imaging. (with F. Chung and Q. Li), accepted by Inverse Problems. Preprint available at arXiv:2001.07858 (2020).

The Calderón problem for a space-time fractional parabolic equation. (with Y.-H. Lin and A. Rüland), accepted by SIAM J. Math. Anal.. Preprint available at arXiv:1905.08719 (2019).

Parameter reconstruction for general transport equation. (with Q. Li), accepted by SIAM J. Math. Anal.. Preprint available at arXiv:1904.10049 (2019).

Boundary determination of electromagnetic and Lamé parameters with corrupted data. (with P. Caro, Y.-H. Lin and T. Zhou), Preprint available at arXiv:1903.03524 (2019).

Inverse problems for the stationary transport equation in the diffusion scaling. (with Q. Li and G. Uhlmann), SIAM Applied Mathematics , 79(6), 2340–2358 (2019).

Global uniqueness for the fractional semilinear Schrödinger equation. (with Y.-H. Lin), Proceedings of the AMS, 147, 1189-1199 (2019).

Quench detection on a superconducting radio-frequency cavity. (with D. Spirn), SIAM Applied Mathematics, 79(1), 341-355 (2019).

Nonparaxial near-nondiffracting accelerating optical beams. (with T. Zhou), Communications in Mathematical Physics, 353(2), 771-790 (2017).

An inverse problem from condense matter physics. (with R. Shankar, D. Spirn and G. Uhlmann), Inverse problems, 33(11), 115011 (2017).

Applications of CGO solutions on coupled-physics inverse problems. (with I. Kocyigit, L. Qiu, Y. Yang and T. Zhou), Inverse problems and imaging, 11(2), 277-304 (2017).

Increasing stability for the conductivity and attenuation coefficients. (with V. Isakov and J.-N. Wang), SIAM J. Math. Anal., 48(1), 569-594 (2016).

Inverse boundary value problem for the Stokes and the Navier-Stokes equations in the plane. (with G. Uhlmann and J.-N. Wang), Arch. Rational Mech. Anal., 215(3), 811-829 (2015).

Uniqueness and stability of Lamé parameters in elastography. Journal of Spectral Theory, 4, 841-877 (2014).

Stability estimates for the inverse boundary value problem by partial Cauchy data. Math. Meth. Appl. Sci., 38(8), 1568-1581 (2015).

Increasing stability for the diffusion equation. Inverse Problems, 30, 075010 (2014).

Global uniqueness for an inverse problem for the magnetic Schrödinger operator. Inverse Problems and Imaging, 5, 59-74 (2011).

Teaching

Spring 2020, Math 4242 Section 1 and Section 6
Spring 2019, Math 8402
Fall 2018, Math 8401
Spring 2018, Math 2374 Lecture 020
Fall 2017, Math 2374 Lecture 010
Spring 2017, Math 2374 Lecture 010
Fall 2016, Math 2374 Lecture 010 and 020
Fall 2015, Math 1271 Lecture 030 and 050

Upcoming Travels

Inverse Problems on Small Scales - October 12 - 16, 2020, Linz, Austria.
Inverse Problems and nonlinearity - August 24-28, 2020, Helsinki, Finland.
SIAM Conference on Imaging Sciences - July 6 - 9, 2020, Toronto, Canada. (Virtual Conference)

Organizations

Mini-symposium: Inverse problems for linear and nonlinear PDEs in Applied Inverse Problems Conference - July 8-12, 2019, Grenoble, France.
Mathematics in Optical Imaging - April 29 - May 3, 2019, IMA.

Last update: 3/23/2020