In the Directed Reading Program (DRP) at Columbia University, undergraduate students interested in independently reading mathematics outside of their official coursework are paired with mathematics graduate students for a semester.

- Applications are open to any undergraduate student from any major at Columbia University and Barnard College.
- The program matches each undergraduate student with a graduate student based on their common mathematical interests.
- At the beginning of the semester, each pair agrees on reading material (e.g. textbooks and research articles) and goals for the semester.
- During the semester, the student and mentor meet each week to discuss the material and progress towards their goals.
- At the end of the semester, the program hosts a colloquium in which each undergraduate student gives a short mathematical presentation on their progress.

The DRP program at Columbia University started in Fall 2020 and is based on the Stanford Math Directed Reading Program, which itself is based on similar programs at other institutions dating back to the start of the University of Chicago DRP in 2003.

**Expectations**:** **

- The student will spend ~4 hours on work for the program outside of meetings.
- The student should have taken a proof-based class before the start of the program.
- Students and mentors will meet once every week.
- Students will give a 10-minute talk on a topic that they learned during the semester.

**Timeline**:

Sunday, January 22nd: Applications due

Friday, January 27th: Mentors and students paired

*DRP Runs January 30th – April 21st*

February 13th: Book orders due

April 17th-21st: Presentation week

**For undergraduate students**: Spring 2023 DRP Program Application.

**For graduate students**: Spring 2023 DRP Program Mentor Sign-up.

If you have any questions about the program, please contact one of the following organizers:

- Zoe Himwich (himwich@math.columbia.edu)
- Álvaro Martínez (martinez@math.columbia.edu)
- Robin Zhang (rzhang@math.columbia.edu)

### DRP Groups Fall 2022

Topic | Graduate Mentor | Undergraduate Student |

Algebraic Geometry | Kevin Chang | Dianlun Luo |

Algebraic Geometry | Caleb Ji | Stanley Jian |

Category Theory | Emily Saunders | Zheheng Xiao |

Commutative algebra | Alex Scheffelin | Vishal Muthuvel |

Functional analysis | Yipeng Wang | Heyuan Yao |

Graph Theory | Zoe Himwich | Keila Leonard |

High-dimensional statistics | Luofeng Liao | Ekene Ezeunala |

Knot Theory | Alvaro Martinez | Shiv Yajnik |

Number Theory | Hung Chiang | David Chen |

Probability | Richard Groenewald | Yimeng Sun |

Probability | Yier Lin | Rizwan Kazi |

Statistical Mechanics | Zongrui Yang | Noah Bergam |

Fall 2022 final presentation abstracts

### DRP Groups Spring 2022

Topic | Graduate mentor | Undergraduate student |
---|---|---|

Algebra | Patrick Lei | David Chen |

Algebraic geometry | Caleb Ji | Shuhan Zhang |

Algebraic geometry | Haodong Yao | Destine Lee |

Low dimensional topology | Alex Xu | Alan Du |

Martingales and Brownian motion | Zoe Himwich | Harrison Wang |

Mathematical physics | Zongrui Yang | Yipeng Wang |

Modular forms | Yusheng Lee | Alan Zhao |

Morse theory and Floer homology | Juan Muñoz-Echániz | Zhenfeng Tu |

Number theory | Baiqing Zhu | Michael Tulskikh |

Representation theory | Álvaro L. Martínez | Iris Rosenblum-Sellers |

Toric varieties | Kevin Chang | Ahmed Shaaban |

### DRP Groups Fall 2021

Topic | Graduate mentor | Undergraduate student |
---|---|---|

Algebraic geometry | Caleb Ji | Shuhan Zhang |

Algebraic number theory | David Marcil | Destine Lee |

Algebraic topology | Álvaro L. Martínez | Tuan Dolmen |

Algebraic topology | Avi Zeff | Behshad Behan Pour |

Category theory | Patrick Lei | Jonathan Tanaka |

Differential geometry | Aaron Chow | Panagiotis Tsimpos |

Higher category theory | Fan Zhou | Rafay Ashary |

Measure theory and probability | Zoe Himwich | Harrison Wang |

Modular forms | Yusheng Lee | Alan Zhao |

Partial differential equations | Kevin Smith | Christopher Wang |

Probability | Shalin Parekh | Zachary Lihn |

Probability | Alejandra Quintos | Allison Ghuman |

Real analysis and functional analysis | Kevin Chang | Shen Shiyang |

Riemann surfaces | Chuwen Wang | Carter Teplica |

Fall 2021 final presentation abstracts

### DRP Groups Fall 2020

Topic | Graduate mentor | Undergraduate student |
---|---|---|

Combinatorics | Mark Rychnovsky | Destine Lee |

Differential geometry | Chuwen Wang | Jason Vassilou |

Differential topology | Yash Deshmukh | Zhenfeng Tu |

Differential topology | Caleb Ji | Pedro Lazcano |

Fourier analysis | Henry Liu | Zoe Zager |

Graph theory | Sayan Das | Adiba Ejaz |

Logic and category theory | Roy Magen | Matthew Katz |

Probability | Xiang Fang | Ahmed Shaaban |

Rational points on elliptic curves | Robin Zhang | Jacob Weinstein |

Riemann surfaces | Fried Tong | Urvi Awasthi |

Variational methods in PDE | Jingze Zhu | Josh Zhou |

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