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Francis Valiquette Ph.D.

Assistant Professor


Department
Mathematics
Office
James and Marlene Howard Hall 232
Phone
732-263-5614
Email
fvalique@monmouth.edu
View Personal Site
Office Hours
Mondays, Tuesdays, & Thursdays 12:00-1:00pm

Francis Valiquette Ph.D.

Bio

Montréal Canadiens fan!

Education

Ph.D., University of Minnesota-Twin Cities

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.