Below are the possible projects for the Spring 2026 Directed Reading Program. Even if not mentioned, all the projects will have Linear Algebra and Introduction to Abstract Math (or equivalent) as prerequisites.
Knot Theory
Introduction to Symmetric Functions
Introduction to Mapping Class Groups
Topology of Manifolds
A singular mathematical promenade
Surface braid groups
Introduction to Topology via Morse Theory
Rational points on elliptic curves
Curves on surfaces --- surface topology from the bottom up!
Introduction to random graphs
Toric and tropical geometry of ReLU neural networks
Geometric Group Theory