
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.
Differential Geometry, Applications, and Mathematics Education
2022/2023
Math 1MP3
Math 2UU3
2021/2022
Math 1MP3
Math 2UU3
Math 3G03
2020/2021
Math 1MP3
Math 2UU3
Math 3B03
2019/2020
Math 1LS3
Math 1XX3
Math 2UU3
Math 3G03
2018/2019
Math 1LS3
Math 2UU3
2017/2018
Math 1C03
Math 1LS3
Math 2C03
Math 2UU3
Math 3Z03
2016/2017
Math 1LS3
Math 2C03
Math 2UU3
Math 3G03
Math 3Z03
Math 4W03
2015/2016
Math 1C03
Math 1LS3
Math 2C03
Math 3G03
2014/2015
Math 1LS3
Math 1X03
Math 3G03
2013/2014
Math 1C03
Math 1LS3
Math 1LT3
Math 1X03
Math 3G03