Francis Valiquette Ph.D.
Montréal Canadiens fan!
Ph.D., University of Minnesota-Twin Cities
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.