I am a professor of mathematics and director of the Harvey Mudd College Mathematics Clinic. I specialize in differential geometry and topology, with applications to Big Data analysis, computer-aided design and robotics.
My research on the geometry of a manifold (e.g., a sphere or a Grassmann manifold) and in computational geometry directly applies to Big data-to-decision, fundamental problems in dynamics, control theory, robotics and computer graphics.
I apply Lie Theory, Grassmann-Cayley algebra, and Riemannian geometry to Jacobi fields and geodesics on the Euclidean group and its subgroups, for the purpose of synthesizing smooth motions for computer animation and for planning optimal motions of robot manipulators.
I research applications to math-biology and applications to industrial mathematics including optimal control, encryption and color scheme.