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Past Projects

This page records past projects, including the mentor-mentee pairings, the topics they worked through, and the texts used.

Fall 2019:

Mentee: Connor Lehmacher
Mentor: Julio Caceres
Project Topic: Functional Analysis
Readings:

Mentee: Jeffrey Cheng
Mentor: David Chan
Project Topic: Group Actions & Sylow’s Theorems
Readings: A First Course in Abstract Algebra, John B. Fraleigh

Mentee: Yujie Wang
Mentor: Ishan Ishan
Project Topic: Arzela-Ascoli Theorem
Readings: Introduction to Topology and Modern Analysis, G. F. Simmons; Methods of Real Analysis, Richard R. Goldberg

Mentee: Jackson Knox
Mentor: Hayden Jananthan
Project Topic: Descriptive Set Theory
Readings: Classical Descriptive Set Theory, Alexander S. Kechris

Mentee: Samuel Frank
Mentor: Andy Jarnevic
Project Topic: Fermat’s Little Theorem
Readings: Number Theory, George E. Andrews

Mentee: Kevin Gomez
Mentor: Zack Tripp
Project Topic: Dirichlet’s Theorem
Readings: Introduction to Analytic Number Theory, Tom M. Apostol

Spring 2019:

(Co-organized by the Vanderbilt Math Club)

Mentee: Marcus Min
Mentor: Hayden Jananthan
Project Topic: Foundations of Mathematics
Readings: A Tour Through Mathematical Logic, Robert S. Wolf

Mentee: Yan Xu
Mentor
: Sam Rizzo
Project Topic: Metric Spaces and Geometry
Readings: N/A

Mentee: Elijah Sheridan
Mentor: Robert Saskowski
Project Topic: Group Theory and Mathematical Physics
Readings: N/A

Mentee: Kevin Gomez
Mentor: Zack Tripp
Project Topic: Elementary and Analytic Number Theory
Readings: Introduction to Analytic Number Theory, Tom M. Apostol

Mentee: Connor Lehmacher
Mentor: Frank Wagner
Project Topic: Geometric Group Theory
Readings: Algebra, Michael Artin and Topology, James Munkres