Fall 2022

Category Theory - Enriched, Unenriched, and Higher 

• • Instructor: Ari Rosenfield

  • Students:  Cyrus Young, Gregory Sinaga, and Timothy Cho

  • Book: Category Theory by Steve Awodey

Quantum Computing

• • Instructor: Adam Marks

  • Student: Tianai Guo, Alessandro Tozcano, and Tianhong (Tim) Wang

  • Book: Quantum Computing by Mika Hirvensalo

Lie Groups and Lie Algebras

• • Instructor: Sidhanth Raman

  • Student: Yining Lu, Dylan Carden, and Xiaohan Zhao

  • Book: Lie Groups: An Introduction Through Linear Groups by W. Rossmann and Lie Algebras and Lie Groups by J.P. Serre

Knot Theory

• • Instructor: Anthony Zamora

  • Student: Emi Cervantes, Lu Yang, and Jose Eduardo Sanchez Castro

  • Book: Knots Knotes by Justin Roberts

A Friendly Introduction to Algebraic Number Theory

• • Instructor: Fabian Ramirez

  • Student: Nicole Vuong, Mufan Zhang, and Marc Medina

  • Book: Abstract Algebra by Dummit and Foote,  Number Fields by Daniel Marcus,  and Keith Conrads Online Notes

Introduction to Low Dimensional Dynamical Systems

• • Instructor: Grigorii Monakov

  • Student: Sara-Grace Lien and Kian Kermani

  • Book: A First Course in Dynamics with a Panorama of Recent Developments by A. Katok and B. Hasselblatt