#  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](https://drp.math.harvard.edu/sites/g/files/omnuum10201/files/2026-03/Feriel_Terras.pdf)  
\- Colin Zou: [Yang-Mills Heat Flow for Analysts](https://drp.math.harvard.edu/sites/g/files/omnuum10201/files/2026-03/Colin_Zou.pdf)

**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