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Set Theory
Mentee: Matthew Begue
Mentor: Amy Turlington
Text: Monk, Introduction to Set Theory; Halmos, Naive Set Theory
Topics: Zermelo-Frankel Axioms, Ordinal and Cardinal numbers, and Axiom of Choice.

Graph Theory
Mentee: Kevin Liftig
Mentor: Ben Steinhurst
Text: Diestel, Graph Theory
Topics: Graphs, Connectivity of Graphs, Flows on Graphs.

Modules and Vector Spaces
Mentee: Andrew Phillips
Mentor: Phil Lombardo
Text: Dummit and Foote Abstract Algebra; Conrad's notes.
Topics: Modules, Vector Spaces, Finite Free Modules.

Complex Analysis
Mentee: John Watterlond
Mentor: Kishan Yerubandi
Text: Rudin, Principles of Mathematical Analysis
Topic: The gamma funciton.

Number Theory
Mentee: Jonathan York
Mentor: Ben Salisbury
Text: Ireland and Rosen, A Classical Introduction to Modern Number Theory
Topic: Quadratic Reciprocity.

Analysis
Mentee: Zihang Zhou
Mentor: Hua Ren
Text:
Topic: Stochastic Differential Equations.