Directed Reading Program - Brown University

The Directed Reading Program (DRP) pairs undergraduate students with graduate student mentors to pursue an independent reading project throughout the semester. The DRP aims to further interactions between undergraduate and graduate students and provide another avenue for pursuing interesting topics in mathematics.

This type of program started at the University of Chicago and has since spread to many other math departments. The DRP at Brown began in Spring 2017.

Organizers: Ashley Weber & Dori Bejleri & Shamil Asgarli

Email: drp@math.brown.edu

The following table contains the list of participants for the program, together with the description of their projects.

Directed Reading Program - Fall 2017

Student Name Mentor Name Reading Project Topic Reference
Alex Walsh Seoyoung Kim Elliptic Curves
The Arithmetic of Elliptic Curves by Silverman
Timothy Sudijono Linhan Li Fourier Analysis
Fourier Analysis by Duoandikoetxea
Fourier Analysis: An Introduction by Stein & Shakarchi
Silei Ren Shamil Asgarli Algebraic Geometry Introduction to Algebraic Geometry by Hassett
George Spahn Giovanni Inchiostro Tropical Geometry Introduction to Tropical Geometry by Maclagan & Sturmfels
Joshua Lebo Milen Ivanov Martingales Probability with Martingales by Williams
Kenneth Berglund Alex Walker Analytic Number Theory
Introduction to Analytic Number Theory by Apostol
Shivam Nadimpalli Alex Mcdonough Combinatorics
Combinatorial Reciprocity Theorems by Beck & Sanyal
Emmanuel Peters Laura Walton Elliptic Curves Rational Points on Elliptic Curves by Silverman
Jonghyun Lee Dori Bejleri Riemann Surfaces Riemann Surfaces and Algebraic Curves by Cavalieri & Miles
Tasha Kim Isaac Solomon Applied Topology
Computational Topology: An Introduction by Edelsbrunner & Harer
Topology for Computing by Zomorodian
Owen Lynch Kyle Ferendo Category Theory
Basic Concepts of Enriched Category Theory by Kelly

The final presentations will be held in Kassar 205. See the schedule below:

December 7th December 8th Time
Silei Josh 12:00-12:20
George     Emmanuel 12:20-12:40
Alex Tim 12:40-1:00
Jonghyun Tasha 1:00-1:20
Owen Kenneth 1:20-1:40
Shiv

1:40-2:00


Directed Reading Program - Spring 2017


Student Name Mentor Name Reading Project Topic Reference
Salil Singh Alex Barron Fourier Analysis
Fourier Analysis: An Introduction by Stein and Shakarchi
Taro Shima Alex Barron Fourier Analysis
Fourier Analysis: An Introduction by Stein and Shakarchi
Michael Mueller Ashley Weber Knot Theory An Introduction to Knot Theory by Raymond Lickorish
Anabel Tassoni Dori Bejleri Hypergeometric Functions Hypergeometric Functions, My love by Maasaki Yoshida
Nicholas Tomlin Dori Bejleri Category Theory Category Theory in Context by Emily Riehl
George Spahn Brian Freidin Chip Firing on Graphs
Chip-Firing and the Critical Group of a Graph by Biggs
Timothy Sudijono Xufan Zhang Random walks and Brownian motion
Modern Graph Theory by Bela Bollobas
Brownian Motion by Peres and Mörters
Daniel Keliher Shamil Asgarli Representation Theory Linear Representations of Finite Groups by Serre
Kenneth Berglund Shamil Asgarli Representation Theory Linear Representations of Finite Groups by Serre
Max Lahn Isaac Solomon Differential Topology
Differential Topology by Guillemin and Pollack
Kavi Duvvoori Alicia Harper Topos Theory
Sheaves in Geometry and Logic by MacLane and Moerdijk
Shivam Nadimpalli Ian Alevy Combinatorics
Proofs from the Book by Aigner, Ziegler and Hofmann
Junewoo Park Yuhan Wang Dynamical Systems
An Introduction to Chaotic Dynamical Systems by Devaney

The final presentations will be held in Kassar 105. See the schedule below:

May 2nd May 3rd Time
George Junewoo 12:00-12:20
Max     Nicholas 12:20-12:40
Michael Shiv 12:40-1:00
Salil Daniel 1:00-1:20
Taro Kenneth 1:20-1:40

Tim 1:40-2:00