The application for Spring 2018 is now open! Here is the link to the application. The deadline to submit the application is Friday, February 2nd by 5 pm. Click here for the expectation sheet  please read it carefully before submitting your application.
Note: We won't be accepting any freshman student at this time.
Organizers: Ashley Weber & Dori Bejleri & Shamil Asgarli
Email: drp@math.brown.edu
Directed Reading Program  Spring 2018
Student Name  Mentor Name  Reading Project Topic  Reference 
Alex Walsh  Minsik Han  Arithmetic Dynamics 
An Experimental Introduction to Number Theory by Hutz 
Joshua Lebo  Alex Walker  Sieve Theory 
An introduction to Sieve Methods and their applications by
Cojocaru and Murty 
Kenneth Berglund  Alex Mcdonough  Spectral Graph Theory  Spectra of Graphs by Brower and Haemers 
Emmanuel Peters  Alex Mcdonough  Chipfiring on Graphs  ChipFiring and RotorRouting by Holroyd and et al. 
Max Lahn  Ashley Weber  Hyperbolic geometry  Threedimension geometry and topology by Thurston 
Jackson Markey  Terrence George  Enumerative Geometry 

Isaiah Liu  Alex Barron  Stochastic Differential Equations 
Introduction to Stochastic Differential Equations by Evans 
May 4th  May 7th  Time 
Josh Sieving with Dirichlet Series: Counting with Natural Numbers Representable as the Sum of Two Squares 
12:0012:30  
Jackson A crash course in Enumerative Geometry 
12:301:00  
Kenneth Drawing Graphs using Eigenvectors 
Emmanuel Chip firing and rotor routing 
1:001:30 
Isaiah Stochastic Differential Equations 
Max The holonomy of Geometric Manifolds 
1:302:00 
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 
December 7th  December 8th  Time 
Silei  Josh  12:0012:20 
George  Emmanuel  12:2012:40 
Alex  Tim  12:401:00 
Jonghyun  Tasha  1:001:20 
Owen  Kenneth  1:201:40 
Shiv 
1:402:00 
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 
ChipFiring 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 
May 2nd  May 3rd  Time 
George  Junewoo  12:0012:20 
Max  Nicholas  12:2012:40 
Michael  Shiv  12:401:00 
Salil  Daniel  1:001:20 
Taro  Kenneth  1:201:40 
Tim  1:402:00 