Maya Thompson

I am a topological combinatorialist. My research focuses on how graph and matroid invariants, such as the Tutte polynomial, and their theory can be extended to a topological setting. A major goal of my research is to understand the combinatorics of ribbon graphs and other embedded graphs, delta-matroids and multi-matroids, often through Tutte-like invariants. 

You can contact me at mayathompson [dot] math [at] gmail [dot] com.

Problems I am currently interested in or working on:

1. Finding a universal Tutte polynomial for hypermaps that unifies hypergraph and ribbon graph invariants.

2. Developing a matroidal framework to represent hypermaps.

3. Investigating non-Abelian flows in ribbon graphs, building upon the classical results for Abelian flows in graphs.

4. Efficiently obtaining Eulerian and bi-Eulerian embeddings of graphs. 

If any of this also interests you, please feel free to email me.

Here are some slides from talks I have given:

Recursively counting flows in embedded graphs, BCC 2022 

Quest for a Tutte polynomial of embedded graphs, AMS-SMF-EMS 2022