Ru-Yu Lai


School of Mathematics
University of Minnesota-Twin Cities

206 Church St. SE
Minneapolis, MN 55455

Office:   229 Vincent Hall

Email:   rylai [at]


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.


  1. Nonparaxial near-nondiffracting accelerating optical beams. (with T. Zhou), Communications in Mathematical Physics. (DOI) 10.1007/s00220-017-2838-5 (2017).
  2. An inverse problem from condense matter physics. (with R. Shankar, D. Spirn and G. Uhlmann), Accepted by Inverse problems. Preprint available at arXiv:1606.07352 (2017).
  3. Applications of CGO solutions on coupled-physics inverse problems. (with I. Kocyigit, L. Qiu, Y. Yang and T. Zhou), Accepted by Inverse problems and imaging. Preprint available at arXiv:1512.06695 (2016).
  4. Increasing stability for the conductivity and attenuation coefficients. (with V. Isakov and J.-N. Wang), SIAM J. Math. Anal., 48(1), 569-594 (2016).
  5. 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., (DOI) 10.1007/s00205-014-0794-1 (2014).
  6. Uniqueness and stability of Lamé parameters in elastography. Journal of Spectral Theory, no. 4, 841-877 (2014).
  7. Stability estimates for the inverse boundary value problem by partial Cauchy data. Math. Meth. Appl. Sci., 38(8), 1568-1581 (2015).
  8. Increasing stability for the diffusion equation. Inverse Problems, 30, 075010 (2014).
  9. Global uniqueness for an inverse problem for the magnetic Schrödinger operator. Inverse Problems and Imaging, 5, 59-74 (2011).


  • 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

    Last update: 9/19/2017