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 analysis of partial differential equations and theoretical numerical analysis. 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, and certain combinatorial approximations of the exterior calculus. Currently I am working on projects related to the Einstein constraint equations, a nonlocal generalization of the isoperimetric problem, regularized turbulence and viscoelastic models, and adaptive numerical methods. My publications can be found at Google Scholar, at arXiv or on this page.
This winter I am teaching the second semester of a graduate course on partial differential equations.