Spring 2021

Algebraic Curves and Riemann Surfaces

• • Instructor: Sidhanth Raman

  • Students: Joy Shin

  • Books: Algebraic Curves and Riemann Surfaces by Miranda, Riemann Surfaces by Donaldson, and Conformal Mapping on Riemann Surfaces by Cohn

An Introduction to Inverse Problems

• • Instructor: Lili Yan

  • Student:

  • Book: The Calderón Problem — An Introduction to Inverse Problems by Feldman, Salo, and Uhlmann

Graph Theory

• • Instructor: Liam Hardiman

  • Students: Kyle Maerean and Jennifer Mast

  • Books: Graph Theory by Diestel and Graph Theory by Bondy and Murty

Introduction to Calculus of Variations

• • Instructor: Kai-Wei Zhao

  • Student: Weihang Du

  • Notes: personal notes

Rational Points on Elliptic Curves

• • Instructor: Shichen Tang

  • Students: Lori Cha and Meha Patel

  • Book: Rational Points on Elliptic Curves by Silverman and Tate

Solving Systems of Polynomials Using Gröbner Bases

• • Instructor: Kelly Isham

  • Students: Dawei Liu

  • Book: Ideals, Varieties, and Algorithms by Cox, Little, and O'Shea