I am a Mathematics Ph.D. candidate in Victoria BC.
Research Interests
My research interests are broad. I am an early career researcher, so my main goal is to explore a variety of areas with the assumption that I’ll fill in gaps later. My current projects and interests largely fall within combinatorics and graph theory.
combinatorics: partition problems; graded relation problems.
I like classifying object classes given partial combinatorial information. This can involve algebraic structures like modules or specified/forbidden sub-configurations
graph theory: dimensional parameters on graphs (e.g. (co-)boxicity and threshold dimension); graph decomposition/covering/packing problems; graph classification problems.
I seem to prefer structural graph theory problems that have strong links with other areas of combinatorics.
on my radar for near future: classifying combinatorial objects using generating functions; combinatorial problems involving non-integer rings (e.g. p-adic integers or rings of integers of cyclotomic fields); dynamical systems on combinatorial structures; topology of hypergraphs
I would like to explore more algebraic, analytic, and topological perspectives on combinatorial problems.
