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

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 & HarerTopology 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 BollobasBrownian 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 |