If you’re interested in working on a project with me…show more
…you should come talk to me about your background and your interests. I have a few ideas for projects that would be suitable for undergraduates; you can check them out here. And if you have a different topic you’re interested in, let me know! Note: I am not taking research students during the 2023-2024 school year.show less
If you’re interested in geometric group theory…show more
…you should come talk to me! I’ll probably recommend some reading.
- Office Hours with a Geometric Group Theorist, edited by Matt Clay and Dan Margalit, is an excellent introduction to key ideas and research areas, and is written in an informal and friendly style, and includes many references for further reading and possible projects.
- Groups, Graphs, and Trees by John Meier is a more standard “textbook”-style introduction to GGT. It has great problems to check your understanding, and it doesn’t assume much prior exposure to geometry, topology, or even abstract algebra.
- The first papers I read in graduate school were by James Cannon: The Combinatorial Structure of Cocompact Discrete Hyperbolic Groups, and The Theory of Negatively Curved Spaces and Groups. While I read these in graduate school, they are accessible to any undergraduate familiar with groups. For any undergraduates interested in geometric group theory, I highly recommend them!
Previous Guided Readings
- Emily Gentles: Simple Random Walks
- Jake Koenig: Generating the mapping class group with Dehn twists
- Can Liu: Ramsey Theory
- Charlotte Rieder: Finitely generating the mapping class groups with Dehn twists
- Eric Silva: Riemannian Geometry and the Gauss-Bonnet Theorem
- Eric Silva: Solving the Word Problem in Hyperbolic Groups
- Mary Stelow: Hamiltonicity in Cayley graphs and digraphs of finite abelian groups
- Xingyu Wang: Random Groups and Hyperbolicity