## Contact Info

## Research

**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, Topology, Mathematics Education

## Courses

**2017/2018 **

Math 1C03

Math 1LS3

Math 2C03

Math 2UU3

Math 3Z03

**2016/2017**

Math 1C03

Math 1LS3

Math 2C03

Math 3G03

Math 3Z03

Math 4W03

**Winter 2015**

On research leave

**Fall 2014**

Math 1LS3

Math 1X03

Math 3G03

**2013/2014**

M1C03 Winter Term, 2014

M1LS3(C02) Fall Term, 2013

M1LT3(C01) Winter Term, 2014

M1X03 Fall Term, 2013

M3G03 Winter Term, 2014