Directed Readings
Emulating an activity initiated at the University of Chicago in the early 2000s, every academic year we pair PhD students with sophomores/juniors interested in learning material beyond their regular classes. Each pair decides, with some faculty oversight, on a topic and a book. The goal is for the pair to cover as much as possible of that book in detail, and more importantly, for the undergraduate to experience how one learns new mathematics. The RTG grant provides funding for purchasing books for all the people involved in this experience.
2018-2019
Mentor |
Student |
Topic |
Kyle Gannon |
Nathaniel Vaduthala |
T. Tao: An Introduction to measure Theory |
JD Quigley |
Ting Gong |
F. Jarviz: Algebraic Number Theory
J. Neukirch: Algebraic Number theory |
Aaaron Tyrrell |
Enhao Feng |
M.Spivak: Calculus on Manifolds |
Jens Kjaer |
Mark Sun |
A. Karlin, Y.Peres: Game Theory Alive |
Xiaoxiao Li |
Kyle Duffy |
M. Taylor: Measure Theory and Integration
|
Taylor Ball |
Kyle Weingarten |
S. Roman: Advanced Linear Algebra |
Tim Campion |
Alex Kokot |
P. Aluffi: Algebra. Chapter 0 |
L. Nicolaescu |
Mikhail Sweeney |
H. McKean: Probability-The Classical Limit Theorems |
2017-2018
Mentor |
Student |
Topic |
Jens Kjaer |
Rathin Katcham |
A. Bonato, R. J. Nowakowski: The Game of Cops and Robbers |
Jose Pastrana |
Misha Sweeney |
J. Franks: A (Terse) Introduction to Lebesgue Integration |
Samuel Perez-Ayala |
Sam Booth |
V. Barbu: Differential Equations |
James Quigley |
Anthony Napolitano |
T. R. Shemanske: Modern Cryptography and Elliptic Curves: An Introduction |
Eric Wawerczyk |
Tim Stavetski |
W. G. Chinn, N. E. Steendrod: First Concepts of Topology |
Laura Wells |
Sophia Kardadi |
C. Adams: The Knot Book |
Leandro Lichtenfelz |
Nathaniel Vadutha |
M. Spivak: Calculus on Manifolds |
2016-2017
Mentor |
Student |
Topic |
Laura Wells |
Rathin Katcham |
C. Adams: The Knot Book |
J.D. Quigley |
Christian Hokaj |
Alvaro Lozano-Robledo: Elliptic Curves, Modular Forms,
and their L-functions |
Kyle Gannon |
Danny O'Connor |
C.E. Silva: Invitation to Ergodic Theory |
Lendro Lichtenfelz |
Maciej Olszewski |
J.W. Milnor: Topology from a Differentiable Viewpoint |
Jeremy Mann |
Katie Gallagher |
Barden & Thomas: Introduction to differentiable manifolds |
Erin Bela |
Caitlyn Booms |
Cox, Little, O'Shea: Ideals, varieties, algorithms |