# Manish Patnaik

## Contact

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

- patnaik@ualberta.ca

## Overview

### Research

**Areas**

Automorphic Forms, Loop Groups

## Courses

### MATH 322 - Graph Theory

Graphs, paths and cycles, trees, planarity and duality, coloring problems, digraphs, matching problems, matroid theory. Prerequisite: One of MATH 102, 125 or 127, and any 200-level MATH course. (MATH 216 or MATH 228 recommended.)

### MATH 428 - Advanced Ring Theory

Introduction to commutative algebra, algebraic geometry, and homological algebra. Additional topics at the discretion of the instructor. Prerequisite: MATH 326 or consent of Department.

### MATH 447 - Elementary Topology

General point-set topology. Compactness, Tychonoff's tbeorem, connectedness. Metric spaces, completeness, Baire's theorem. Urysohn's lemma. Topological manifolds. Homotopy theory, fundamental group, covering spaces. Prerequisite : MATH 216 or 217. Corequisites: MATH 328 or MA PH 464. Offered in alternate years. It may be offered in intervening years if demand is sufficient.

### MATH 582 - Rings and Modules

Introduction to commutative algebra, algebraic geometry, and homological algebra. Additional topics at the discretion of the instructor. Prerequisite: MATH 326 or consent of the Department.

### MATH 681 - Topics in Algebra