Ph.D., University of Minnesota-Twin Cities
- Office Hours
- Tuesdays, Wednesdays & Thursdays 12:00-1:00pm
- Courses this Semester
- MA 120--Introduction to Mathematical Reasoning
MA 125--Calculus with Analytic Geometry I
MA 130--Applied Discrete Mathematics
Montréal Canadiens fan!
- Research Interests
My research interests lie at the interface of applied mathematics, differential geometry, and discrete geometry. In particular, I am interested in the theory of transformation groups and their applications to differential equations and their finite difference approximations.
Using the method of equivariant moving frames I have developed new algorithms for solving differential equations and finite difference equations that admit symmetries. I have also used moving frames to construct symmetry-preserving numerical schemes of differential equations, study integrable equations, and solve local equivalence problems.