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 2024: 听 听
• Spring 2025:
• Summer 2025:

Selected Publications

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