# Stefan Gille

## Contact

##### Professor, Faculty of Science - Mathematics & Statistical Sciences

- gille@ualberta.ca

## Overview

### Research

**Areas**

Quadratic Forms & Chow Motifs

## Courses

### MATH 311 - Theory of Functions of a Complex Variable

Complex numbers. Complex series. Functions of a complex variable. Cauchy's theorem and contour integration. Residue Theorem and its applications. Corequisite: MATH 215 or MATH 315 or MATH 317 or MA PH 351. Note: This course may not be taken for credit if credit has already been obtained in MATH 309 or 411.

### MATH 325 - Linear Algebra III

Hermitian and unitary matrices, spectral theorem. Jordan canonical form. Cayley-Hamilton Theorem. Bilinear forms, positive-definiteness, Sylvester's Law of inertia, geometric lattices. Numerical methods. Application to discrete system evolution, matrix exponentials and differential equations. Prerequisite: MATH 225. Note: This course may not be taken for credit if credit has already been obtained in MATH 227.