Past Projects

Below is a list of some selected past projects as well as examples of student reports.

Topics are agreed upon between the student and the mentor, and since the list of mentors changes from semester to semester, please note that past projects are not always representative of what kinds of projects we can find mentors for.

Fall 2025:

Example reports:

- Feriel Terras: Random Graphs, Model Equivalence, and Phase Transitions
- Colin Zou: Yang-Mills Heat Flow for Analysts

Selected projects:

- Algebra: Chapter 0 by P. Aluffi
- Algebra by M. Artin
- Algebraic Number Theory by J. Neukirch
- Introduction to Cyclotomic Fields by L. Washington
- The Algebraic and Geometric Theory of Bilinear and Quadratic Forms by R. Elman, N. Karpenko, A. Merkurjev
- Moduli Spaces and Invariant Theory by J. Tevelev
- Complex Analysis by E. Stein and R. Shakarchi
- The Knot Book by Colin Adams and Knots and Links by D. Rolfsen
- Office Hours with a Geometric Group Theorist, edited by M. Clay and D. Margalit
- Compact Lie Groups by M. R. Sepanski
- Yang Mills for Probabilists by S. Chatterjee
- Modern Graph Theory by B. Bollobás