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