**Tim Bates** Hi I'm Tim and I'm a second year PhD. student at Rutgers. I like thinking about manifolds of dimensions up to and including 4. More concretely I am interested in knots, knotted surfaces, Heegaard-Floer homology and its consequences. I attended Texas A&M University from 2019 to 2023 where I completed a B.S. and M.S. degree in Mathematics with a minor in physics. I wrote a masters thesis where I explored some of the literature about Thurston polytopes! ![Figure [TP1]: L14a29515 and its Thurston Polytope.](https://timgbates.github.io/document/Thurstonpoly.png width="300px" border="1") CV ============================================================== Here you can find a link to my CV: LINK Notes and Other Writings ============================================================== I try to type up a lot of the things that I learn. Here you can find links to some of the things I've typed. ## Misc. Algebra and Analysis

## Topology Notes I'm trying to type up a "semi" complete set of notes on low dimensional topology with an emphasis on Heegaard-Floer homology. Find them here! Links ============================================================== Some Older Projects: - Thurston Polytopes - Uniform Acceleration Here are links to some cool resources. Topology Related Links

Other

CV: LINK

Research and Projects

Misc. Expository Notes

Fun Facts

Best Invariants

Euler Characteristic (especially of the brain): I wrote a short python code for computing the Euler Characteristic of a graph: HERE

Thurston Norm Ball (for obvious reasons)

Favorite Papers

Topological Phase transitions in functional Brain Networks by Santos et. al.
Classical Roots of the Unruh and Hawking Effects by Pauri and Vallisneri