Welcome

I am an assistant professor at the Department of Mathematics and Statistics, McGill University, and part of the Applied Math Group, and of Applied Mathematics Laboratory. I am from Mongolia, and did my PhD at Utrecht University with Rob Stevenson and Hans Duistermaat. Before coming to McGill, I was a postdoc at UCSD with Mike Holst. My mathematical genealogy page is here.

My research generally concerns differential equations and numerical analysis. Currently I am working on projects related to conformal parameterizations of Einstein's constraint equations, regularized turbulence equations, and convergence theory of adaptive methods. My publications can be found at Google Scholar, at arXiv or on this page.

This fall I am going to teach an undergraduate course on complex variables and a graduate course on partial differential equations.

Students and collaborators

Graduate and undergraduate students working/worked with me:
  • Ibrahim Al Balushi is a Master's student, working on PDE and other techniques for image processing.
  • Mashbat Suzuki and Olivier Ouelette are doing a summer project with Prof. Dmitry Jakobson and me on random metrics in general relativity.
  • Antony Della Vecchia is doing a summer project with me on rigorous computer assisted studies of strange attractors. He was awarded an NSERC Student Research Award.
  • Spencer Frei is doing a summer project with Dr. Brian Seguin and me on weak convergence methods for PDEs. He was awarded an ISM Undergraduate Summer Scholarship.
  • Alexandra Tcheng has finished in 2011 her master's thesis on the Einstein constraint equations in general relativity, with an emphasis on freely specifying the extrinsic mean curvature.
  • Zhe Chen has done a summer project in 2011 with Prof. Marco Veneroni and me on convex optimization and variational methods. He was awarded an ISM Undergraduate Summer Scholarship.
  • Joshua Lackman did some research in 2011 with me on nonlinear elliptic equations.
  • Robert Gibson has done summer project in summer 2010 with Dr. Renato Calleja and me on numerical solution of wave maps equations. He was awarded an ISM Undergraduate Summer Scholarship.
My collaborators: