Peter Dukes

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 2018: MATH 311: Linear Algebra 
• Spring 2019: MATH 413: Applied Algebra  MATH 422: Combinatorial Mathematics  MATH 522: Combinatorics 
• Summer 2019:

Selected Publications

• P.J. Dukes, Fractional triangle decompositions of dense 3-partite graphs, http://arxiv.org/abs/1510.08998