I love interesting mathematics in many areas, but my research focus is combinatorics. In particular, I like applying algebraic or analytic methods to combinatorial problems.

Interests

• Combinatorics
• Algebra
• Graph theory
• Coding theory

Faces of UVic Research video

In this video, Peter discusses the applications of his research in the information world and speaks to the beauty of mathematics and its role as both an art and a science.

Courses

• Fall 2025: 听 听 听
• Spring 2026: MATH 427: Combinatorial Designs听 听 听 听
• Summer 2026:

Selected Publications

• P.J. Dukes, Fractional triangle decompositions of dense 3-partite graphs,