profile pic

Jack C

- Research Program Mentor

PhD Doctor of Philosophy candidate


Probability, Graph Theory, Topology, Number Theory, Abstract Algebra

Project ideas

Project ideas are meant to help inspire student thinking about their own project. Students are in the driver seat of their research and are free to use any or none of the ideas shared by their mentors.

Visual graph theory

A graph consists of a collection of points which we call nodes, and a collection of edges that connect these nodes together. For instance, an interesting example of a graph is the Facebook graph: A node on the Facebook graph is a Facebook user, and there is an edge connecting two different nodes (i.e. two different Facebook users) if the two users are Facebook friends. In this project, the student will learn the foundations of graph theory, and will learn to solve several amazing problems in graph theory, including the classic “seven bridges” problem, and the “theorem on friends and strangers”. The knowledge and skills the student attains in this project will be useful for those interested in mathematics, computer science, physics, and engineering, among other things!

Coding skills

Python, Haskell, Matlab, LaTeX, R

Interested in working with expert mentors like Jack?

Apply now