Solutions to the Topology Qualifying Exam at CUNY

Spring 2026

Fall 2021

Spring 2021

(Qual Committee: Jason Behrstock, Abhijit Champanerkar, and John Terilla)

Useful Lecture Notes 

Towards the Nielsen-Thurston Classification (Taught by Sergiy Merenkov in Spring 2025 at the GC)

Riemannian Geometry (Taught by Mehdi Lejmi in Spring 2025 at the GC)

Module Theory (Taught by Beren Sanders in Winter 2023 at UC Santa Cruz)

Group and Ring Theory (Taught by Junecue Suh in Fall 2022 at UC Santa Cruz)