Geometry & Topology RTG

University of Notre Dame

Directed Readings

Emulating an activity initiated at the University of Chicago in the early 2000s, every academic year we pair PhD students with sophomores/juniors interested in learning material beyond their regular classes. Each pair decides, with some faculty oversight, on a topic and a book. The goal is for the pair to cover as much as possible of that book in detail, and more importantly, for the undergraduate to experience how one learns new mathematics. The RTG grant provides funding for purchasing books for all the people involved in this experience.

Mentor Student Topic
Laura Wells Ratham Kacham C. Adams: The Knot Book
J.D. Quigley Christian Hokaj Alvaro Lozano-Robledo: Elliptic Curves, Modular Forms, and their L-functions
Kyle Gannon Danny O'Connor C.E. Silva: Invitation to Ergodic Theory
Lendro Lichtenfelz Maciej Olszewski J.W. Milnor: Topology from a Differentiable Viewpoint
Jeremy Mann Katie Gallagher Barden & Thomas: Introduction to differentiable manifolds
Erin Bela Caitlyn Booms Cox, Little, O'Shea: Ideals, varieties, algorithms