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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.

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Publications

• Inverse problems for the stationary transport equation in the diffusion scaling. (with Qin Li and Gunther Uhlmann), Preprint available at arXiv:1808.02071 (2018).
• Global uniqueness for the fractional semilinear Schrödinger equation. (with Y.-H. Lin), accepted by Proceedings of the AMS (2018).
• Quench detection on a superconducting radio-frequency cavity. (with D. Spirn), Preprint available at arXiv:1710.04763 (2017).
• Nonparaxial near-nondiffracting accelerating optical beams. (with T. Zhou), Communications in Mathematical Physics, 353(2), 711--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).

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Teaching

• 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

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Upcoming Travels

• Applied Inverse Problems Conference - July 8-12, 2019, Grenoble, France.
• The AWM Research Symposium - April 6-7, 2019, Rice University.
• 2019 Joint Mathematics Meetings - January 16-19, 2019, Baltimore, MD.
• Inverse Problems in Mathematical Physics - December 7-10, 2018, Winter Meeting of the Canadian Mathematical Society, Vancouver, Canada.
• Recent Developments in the Mathematics of Tomography and Scattering - October 20-21, 2018, the AMS Sectional Meeting, University of Michigan in Ann Arbor.

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Organizations

• Mathematics in Optical Imaging - April 29 - May 3, 2019, IMA.

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Last update: 11/2/2018