Discrete mathematics
Discrete mathematics at UVic is a lively and growing area, with strengths in graph theory, extremal and probabilistic combinatorics, algorithms and complexity, combinatorial designs, coding theory, graph colourings, random processes, graph homomorphisms, and combinatorial games.
Our subject is both visual and structural: geometric configurations, networks, colourings, patterns, games, and finite algebraic objects all play central roles. At the same time, discrete mathematics connects naturally with theoretical computer science, optimization, statistics, electrical engineering, biology, and many other parts of mathematics.
The core research group consists of six regular faculty members, joined by an active community of graduate students, postdoctoral fellows, visitors, adjunct professors, emeriti, and colleagues in computer science. We run a weekly discrete mathematics seminar, supervise students at all levels, and regularly organize and participate in workshops, summer schools, and international conferences.
Together, these activities make UVic one of Canada’s leading centres for research and training in discrete mathematics.
Faculty
| Name | Contact | Research interests |
| Butterfield, Jane |
Office: DTB-A445
|
Graph theory and mathematics education. |
| Dukes, Peter |
Office: DTB-A453
|
Combinatorics. |
| Huang, Jing |
Office: DTB-A549
|
Graph theory, algorithms and complexity. |
| MacGillivray, Gary |
Office: DTB-A442
|
Discrete mathematics, graph theory, theoretical computing science. |
| Morrison, Natasha | Extremal graph theory, random graphs and processes, graph colouring, bootstrap percolation and related cellular automata, and Ramsey theory | |
| Noel, Jonathan |
Office: DTB-A435
|
Extremal combinatorics, algorithms, discrete optimization, probablistic combinatorics, combinatorial limits graph colouring, computational complexity, AI-assisted mathematics |
Professors emeritus
| Name | Contact | Research interests |
| Cockayne, Ernest |
Office: NA
|
|
| Miller, Donald |
Office: NA
|
|
| Mynhardt, Kieka |
Office: DTB-A541
|
Graph theory. |
Adjuncts
| Name | Contact | Research interests |
| Brewster, Richard |
Office: NA
|
Discrete mathematics; theoretical computer science; computational complexity; graph theory; polynomial time algorithms and good characterizations; graph homomorphisms and colouring problems; domination problems; graph packings and matchings; local search heuristics and discrete optimization. |
| Huggan, Melissa |
Office: NA
|
combinatorial game theory, graph theory, and pursuit-evasion games |
| Mol, Lucas |
Office: NA
|
Structural graph theory and combinatorics on words. |
| Myrvold, Wendy |
Office: NA
|
Graph Algorithms, Topological Graph Theory, Combinatorial Algorithms, Network Reliability, Combinatorial Search, Graph Reconstruction, Applications of Graph Theory and Graph Algorithms to Chemistry, Latin Squares |
Postdoctoral fellows
| Name | Contact | Supervisor |
| Clemen, Felix |
Office: DTB-A525
|
Morrison, Noel |
PhD students
| Name | Contact | Supervisor |
| Gaede, Tao |
Office: DTB-A534
|
Dukes |
| Lin, Mengru |
Office: DTB-A527
|
MacGillivray |
| Ogden, Shannon |
Office: DTB-A534
|
Morrison |
Master's students
| Name | Contact | Supervisor |
| Cooper, Joy |
Office: DTB-A202
|
Dukes, Morrison |
| Hildebrandt, Marina |
Office: DTB-A202
|
Dukes, Huggan |
| Porter, Amanda |
Office: DTB-A202
|
MacGillivray, Huggan |
| Zhang, Chuan |
Office: DTB-A557
|
Huang |