I am an associate 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 analysis of partial differential equations and of numerical algorithms for solving them. I have worked on existence theory of a semilinear elliptic system arising in general relativity, detailed analysis of equations similar to the Navier-Stokes system, optimal complexity bounds on some adaptive numerical methods for solving elliptic boundary value problems, a nonlocal generalization of the isoperimetric problem, and certain combinatorial approximations of the exterior calculus. Currently I am working on projects related to the Navier-Stokes equations, conformal geometry, discrete exterior calculus, and adaptive numerical methods. My publications can be found at Google Scholar, at arXiv or on this page.
In Fall 2016, I am teaching an honours course on advanced calculus. In Winter 2017, I will be teaching a topics course on general relativity. Currently, I am the graduate program director of the department.