School of Mathematics
University of Minnesota-Twin
Church St. SE
Minneapolis, MN 55455
Email: rylai [at] umn.edu
About me I am an assistant professor in the School of
Mathematics at the University of Minnesota. I obtained my PhD in 2015
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
An inverse problem for non-linear fractional magnetic Schrödinger equation.
(with Ting Zhou).
Preprint available at arXiv:2103.08180 (2021).
Inverse problems for the fractional Laplace equation with lower order nonlinear perturbations.
(with Laurel Ohm).
Preprint available at arXiv:2009.07883 (2020).
Unique determination for an inverse problem from the vortex dynamics.
(with Hanming Zhou), Inverse Problems,
37(2), 025001 (2021).
Partial data inverse problems for nonlinear magnetic Schrödinger equations.
(with Ting 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), SIAM Applied Mathematics,
81(1), 91-106 (2021).
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), accepted in SIAM J. Math. Anal.
Preprint available at arXiv:2003.09549 (2020).
On diffusive scaling in acousto-optic imaging.
(with F. Chung and Q. Li),
Inverse Problems, 36(8), 085011 (2020).
The Calderón problem for a space-time fractional parabolic equation.
(with Y.-H. Lin and A. Rüland), SIAM J. Math. Anal., 52(3),
Parameter reconstruction for general transport equation.
(with Q. Li), SIAM J. Math. Anal., 52(3),
Boundary determination of electromagnetic and Lamé parameters with corrupted data.
(with P. Caro, Y.-H. Lin and T. Zhou), accepted in Inverse Problems and Imaging.
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
Global uniqueness for an inverse problem for
the magnetic Schrödinger operator. Inverse
Problems and Imaging, 5, 59-74 (2011).
Spring 2021, Math 4242 Section 8
Fall 2020, Math 4242 Section 5 and Section 7
Spring 2020, Math 4242 Section 1 and Section 6
Spring 2019, Math
Fall 2018, Math
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
Small Collaboration: Modeling Phenomena from Nature by Hyperbolic Partial Differential Equations (hybrid meeting)
- April 11 - 17, 2021, Mathematisches Forschungsinstitut Oberwolfach.
Inverse Problems on Small Scales
- October 12 - 16, 2020, Linz, Austria. (Postponed to 2021)
Inverse Problems and nonlinearity
- August 24-28, 2020, Helsinki, Finland. (Postponed to 2021)
SIAM Conference on Imaging Sciences
- July 6 - 9, 2020, Toronto, Canada. (Virtual Conference)
The views and opinions expressed in this page are strictly those of the page author.
The contents of the page have not been reviewed or approved by the University of Minnesota.
Last update: 3/18/2021