Professor, Ph.D. (Ohio State)
Dept. of Mathematics & Statistics, McMaster University
1280 Main Street West
Canada L8S 4K1
905-525-9140, ext. 27362
Research Area: Geometry & Topology, Mathematics Education
Research Profile: Differential Geometry, Applications, and Mathematics Education
My research dealt with some aspects of the curvature of a Riemannian manifold, in particular the way various curvature assumptions influence the topological properties (pinching theorems). I had also employed the tools of Riemannian geometry (especially foliations on Riemannian manifolds) in order to study the properties of orbits of vector fields coming from various control theory problems. In collaboration with Ernst Ruh and Maung Min-Oo, I obtained new parametrization of the space of multivariate normal distributions (and a new distance formula).
My new research directions consist of applying math to problems in medicine and biology (in collaboration with colleagues and grad students from Health Sciences), and also mathematics education. Besides investigating my own teaching practice, I have been studying transition from secondary to tertiary mathematics, as well as the ways mathematics textbooks promote learning of mathematics.