The Department of Mathematics

Middlesex College

London, ON

Canada, N6A 5B7

Tel: 519.661.3639

Fax: 519.661.3610

Undergraduate inquiries:

math-inquiry@uwo.ca

Graduate inquiries:

math-grad-program@uwo.ca

All other inquiries:

mathdept@uwo.ca

The Directed Reading Program (DRP) pairs undergraduate students with graduate students/junior faculty to undertake independent study projects. It is intended to help motivated students explore topics in more depth than possible in a classroom setting.

Each project is for the duration of one academic semester, which is roughly thirteen weeks. Undergraduates can apply for DRP positions in the beginning of each term and those who are selected will be paired with mentors according to their mathematical interests and availability.

The projects are based around the self-paced reading of a particular book or article with substantial guidance from the mentor, with the specific topic arrived upon by discussion of common interests between the mentor and the mentee.

In 2019-20, the program is organized by: Chris Kapulkin and Apurva Nakade, with invaluable support of Amar Venga of MaCAW.

A student is expected to:

- meet with their supervisor for 1 hour each week;
- work on the project for an agreed upon number of hours between these meetings (including: reading, problem solving, presentation preparation);
- give a final presentation towards the end of the term.

Students will not receive course credits for their projects, which on the bright side means: no exams, no grades.

- Study an interesting topic without the stress of a usual course.
- Pursue a topic outside of the undergraduate curriculum.
- Develop independent study and oral communication skills.
- Connect with a graduate mentor and receive a good deal of personal attention.

Information about the Fall 2020 Directed Reading Program will be posted in August 2020.

The projects were:

- Jacob Adams on
*Completion in mathematics*(mentor: Prakash Singh); - Daniel Carranza on
*Category theory*(mentor: Brandon Doherty); - Yeonjoon Choi on
*Random matrix theory*(mentor: Nathan Pagliaroli); - Wonsang Chong on
*Theory and practice of machine learning*(mentor: Luis Scoccola); - Julian Drazilov on
*Mordell's theorem*(mentor: Dinesh Valluri); - Jacob Fabe on
*Nielsen-Schreier theorem*(mentor: Apurva Nakade); - Alex Kazachek on
*Manifolds and smooth maps*(mentor: Udit Mavinkurve); - Boyuan Pang on
*Dynamical systems*(mentor: Babak Beheshti); - Jay Shah on
*Universal properties*(mentor: Jarl Texaras); - Mahima Siali on
*Factoring integers*(mentor: Andrew Herring); - Christopher Vasiu on
*Existence of complete ordered field*(mentor: Arohan Paul); - Amar Venga on
*Gauss-Bonnet theorem*(mentor: Babak Beheshti).

Due to COVID-19 outbreak in Winter 2020, the organizers decided against having final presentations that term.

The projects were:

- Szymon Adamus on
*Matroid Theory*(mentor: Udit Mavinkurve); - Jonathan Chang on
*Category Theory*(mentor: James Leslie); - Yeonjoon Choi on
*Feynman Diagrams and Matrix Integrals*(mentor: Nathan Pagliaroli); - Jacob Fabe on
*Universal Properties and the Yoneda Lemma*(mentor: Luis Scoccola); - Charles Hau on
*Kirchhoff’s Matrix Tree Theorem*(mentor: Sergio Zapata); - Paul Norton on
*Category Theory*(mentor: César Martinez); - Boyuan Pang on
*Surface Topology*(mentor: Sergio Chaves); - Mahima Siali on
*Public Key Cryptography: Diffie-Hellman, RSA, and ElGamal*(mentor: Andrew Herring); - Amar Venga on
*Chevalley's Theorem*(mentor: Jeffrey Carlson); - Timothy Yau on
*Tensors and Manifolds*(mentor: Apurva Nakade).

The final presentations took place on November 30, 2019.