The Directed Reading Program continues to go from strength to strength. Sure, sometimes I forget to order the pizza, and sure, when that happens, sometimes I call La Val’s in a voice that sounds less like a level-headed DRP organizer and more like a disgruntled wombat, but otherwise the program ran very smoothly. We had 67 pairings, more than either of us can remember having in the past, and by all accounts everyone had fun. Special thanks are due to our supervisor Christian Natividad and to Siti Keo and the rest of the math department staff. Applications for the fall program will open in August, and we look forward to seeing you then.
Pairs who submit a final paper or give a final presentation are featured in our wrap-up post at the end of the semester. It is our privilege to share these projects with you. We hope that you’ll enjoy reading them, and perhaps find inspiration for a DRP of your own!
| Mentee | Mentor | Project |
|---|---|---|
| Cleo Alexa | Thomas Browning | Solutions of Mordell’s Equation |
| Aylin Ambriz | Brian Morris | Brouwer’s Fixed-Point Theorem in Two Dimensions |
| Yuqing Chen | Lizzie Pratt | Matroid Intersection and König’s Theorem |
| Matthew Corbo | Drew Keisling | Covering Spaces and Galois Theory |
| Amelia Craciun and Nathan Han | Alois Cerbu | The Max-Flow Min-Cut Theorem |
| Shrishti Dalal | Sean Gonzales | Expander Codes and Their Construction via Cayley Graphs |
| Junhe Feng | Robert Bowden | Morse Homology |
| Xiaohao Feng | Sai Sanjeev Balakrishnan | The Mordell-Weil Theorem over Number Fields and Mazur’s Torsion Theorem |
| Adrian Fry | Saud Molaib | Combinatorial Species and the Lagrange Inversion Theorem |
| Crystela Herrera | Jacob Elafandi | Graphs and Homomorphisms |
| Harutyun Harry Ilanyan | Chan Bae | Hallucination and Calibration in Language Models |
| Partha Krishna | Amy Dai | Stochastic Differential Equations |
| Jasmine Latimer | Mitsuki Hanada | The Hook Length Formula |
| Austin Lin | Jessie Tan | Coloring of the Real Line with the Lovász Local Lemma |
| Ethan Liu | Luke Triplett | Representative Sampling of High-Dimensional Point Sets |
| Jihao Liu | Zhongkai Tao | Fourier Transforms, Maximal Functions, Hilbert Transforms, and Singular Integrals |
| Theo Lysek | Feiyang Lin | Realizable Splittings of Vector Bundles Over P^1 in Exact Sequences |
| Nathan Mann | Daigo Ito | Algebraic Geometry |
| Matthew Moon | Eric Jankowski | One Way to Find the Dimensions of Some Varieties |
| Marc Nguyen | Elliot Kienzle | Euclidean Axiomatization |
| Vignesh Nydhruva | Akash Narayanan | Connectedness and Path-Connectedness |
| Serkan Salik | John Nolan | Riemann’s Count for the Dimension of the Moduli Space of Riemann Surfaces of Genus g ≥ 2 |
| Rui Shang | Kabir Kapoor | An Exposition of Basic Mathematical Logic |
| Abby Smith | Audrey Rosevear | Tischlers Theorem |
| Ailsa Sun | Gabriel Beiner | Tychonoff’s Theorem |
| Jack Wang | Liyang Shao | Discrete Ergodic Schrödinger Operators |