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Francis Valiquette, Ph.D.

Assistant Professor


Department
Mathematics
Office
Howard Hall 232
Phone
732-263-5614
Email
fvalique@monmouth.edu
Office Hours
Mondays 2:45-3:45pm
Wednesdays 1:15-2:15pm
Thursdays 10:00-11:00am
(via Zoom)
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Francis Valiquette, Ph.D.

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.

Courses