{"id":1024,"date":"2026-05-15T15:58:19","date_gmt":"2026-05-15T22:58:19","guid":{"rendered":"https:\/\/wp.math.berkeley.edu\/drp\/?p=1024"},"modified":"2026-06-01T17:40:45","modified_gmt":"2026-06-02T00:40:45","slug":"spring-2026-wrap-up","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/drp\/2026\/05\/15\/spring-2026-wrap-up\/","title":{"rendered":"Spring 2026 Wrap-Up"},"content":{"rendered":"\n

We had the very auspicious number of 88 total pairings this semester. Those who completed a final presentation or project are featured below. As always, we’d like to thank our mentors and the department staff.<\/p>\n\n\n\n

This was also Ronan O’Gorman’s last semester organizing the DRP, and Alan Goldfarb’s first. Ronan, thank you for all that you’ve done; Alan, welcome to the team!<\/p>\n\n\n\n

Mentee<\/th>Mentor<\/th>Project<\/th><\/tr><\/thead>
Ben Aldaghi<\/td>Mitsuki Hanada<\/td>Symmetric Functions and the Symmetric Group<\/a><\/td><\/tr>
Nicholas Ballesteros<\/td>Ronan O\u2019Gorman<\/td>An Introduction to Affine Schemes<\/td><\/tr>
Smokey Child<\/td>Spencer Taylor<\/td>An Introduction to Algebraic Topology and Differentiable Manifolds<\/a><\/td><\/tr>
Juan Claver<\/td>Yahya Bashandy<\/td>Topological K<\/mi>K<\/annotation><\/semantics><\/math>-Theory<\/a><\/td><\/tr>
Ren Colley<\/td>Ryan Martinez<\/td>Continuous Nonlinear Dynamical Systems<\/td><\/tr>
Theo Danial<\/td>Etienne Phillips<\/td>Monads<\/a><\/td><\/tr>
Tala De La Cruz<\/td>Sai Sanjeev Balakrishnan<\/td>Galois Theory Through Cyclotomic Symmetry<\/a><\/td><\/tr>
Arjun Garg<\/td>Etienne Phillips<\/td>An Introduction to Quasi-Categories<\/a><\/td><\/tr>
Omkar Guha<\/td>Jake Hofgard<\/td>SLE and Universality<\/td><\/tr>
Rayan Gummiid<\/td>Vilas Winstein<\/td>Proof by Brownian Motion<\/a><\/td><\/tr>
Jesse Hart<\/td>Benjamin Daniels<\/td>Smooth Manifolds and Lie Groups<\/td><\/tr>
Diana Hu<\/td>Ruslans Aleksejevs<\/td>Tur\u00e1n\u2019s Theorem and Extremal Graph Theory<\/a><\/td><\/tr>
Carson Humphreys<\/td>Yvette Ren<\/td>Sacks\u2019 Splitting Theorem through the Finite Injury Priority Method<\/a><\/td><\/tr>
Spencer Kim<\/td>Siming He<\/td>Optimal Transport<\/td><\/tr>
Elizabeth Lau<\/td>Danat Duisenbekov<\/td>Mixing Times and Applications<\/td><\/tr>
Alexander Lee and Zayan Boghani<\/td>Jenna Plute<\/td>The Spectral Theorems<\/td><\/tr>
Wangyuan (Peter) Li<\/td>Amy Dai<\/td>Numerical Methods for Stochastic Differential Equations<\/a><\/td><\/tr>
Austin Lin<\/td>Etienne Phillips<\/td>Profunctors and Double Categories<\/a><\/td><\/tr>
Yuhao Liu<\/td>Jacob Erlikhman<\/td>Grassmannian, Hilbert, and Quot Schemes as Moduli Spaces<\/a><\/td><\/tr>
Owen McGinty<\/td>Sai Sanjeev Balakrishnan<\/td>Abelian Extensions of Exponent n<\/mi>n<\/annotation><\/semantics><\/math><\/a><\/td><\/tr>
Andrew Nguyen<\/td>Nilay Patel<\/td>Period Three Implies Chaos (on \u211d<\/mi>\\mathbb{R}<\/annotation><\/semantics><\/math>)<\/a><\/td><\/tr>
Vignesh Nydhruva<\/td>Akash Narayanan<\/td>Sheaf Cohomology & Mittag-Leffler<\/td><\/tr>
Lucas Park<\/td>Harper Wells<\/td>Continuum Hypothesis and Forcing in Set Theory<\/td><\/tr>
Lia Park<\/td>Eric Jankowski<\/td>Representation in Dihedral Groups<\/td><\/tr>
Milena Safaryan<\/td>Isabel Detherage<\/td>Spectral Independence<\/td><\/tr>
Laney Saye<\/td>Ning Tang<\/td>Geometrically Constraining Vacuum Spacetime<\/a><\/td><\/tr>
Justin Shaw<\/td>Ethan Ebbighausen<\/td>Fractal Geometry<\/td><\/tr>
Daniel Song<\/td>Etienne Phillips<\/td>Enriched Category Theory<\/td><\/tr>
Jorge Speck<\/td>Leonard Tomczak<\/td>Elliptic curves over \u2102<\/mi>\\mathbb{C}<\/annotation><\/semantics><\/math>, Lattices, and Sum of Squares Theorems<\/a><\/td><\/tr>
Sofia Torelli<\/td>Isabel Detherage<\/td>Mixing Times of Markov Chains<\/td><\/tr>
Luke Trunnell<\/td>Saud Molaib<\/td>Quadratic Reciprocity<\/a><\/td><\/tr>
Andrew Wang<\/td>Benjamin Daniels<\/td>De Rham Cohomology of Smooth Manifolds<\/a><\/td><\/tr>
Jiaxiang Xu<\/td>Haoen Li<\/td>A Numerical Study of Random Trace Estimators for the Inverse Laplacian<\/a><\/td><\/tr>
Stephanie Yao<\/td>Alex Feiner<\/td>Tensoring Exact Sequence<\/td><\/tr>
Katherine Yuan<\/td>Leonard Tomczak<\/td>Sphere Packing and Lattice-Based Cryptography<\/a><\/td><\/tr>
Yiding Yuan<\/td>August Dym No\u00eb<\/td>An Introduction to Group Theory<\/a><\/td><\/tr>
Tina Zejda<\/td>Michael Kielstra<\/td>M\u00f6bius Automorphisms of the Unit Disk<\/a><\/td><\/tr>
Zhouling Zhang<\/td>Marco David<\/td>From Classical Curve Counting to Gromov-Witten Invariants<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"

We had the very auspicious number of 88 total pairings this semester. Those who completed a final presentation or project are featured below. As always, we’d like to thank our mentors and the department staff. This was also Ronan O’Gorman’s last semester organizing the DRP, and Alan Goldfarb’s first. Ronan, thank you for all that …<\/p>\n","protected":false},"author":83,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1024","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/drp\/wp-json\/wp\/v2\/posts\/1024","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/drp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/drp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/drp\/wp-json\/wp\/v2\/users\/83"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/drp\/wp-json\/wp\/v2\/comments?post=1024"}],"version-history":[{"count":3,"href":"https:\/\/wp.math.berkeley.edu\/drp\/wp-json\/wp\/v2\/posts\/1024\/revisions"}],"predecessor-version":[{"id":1047,"href":"https:\/\/wp.math.berkeley.edu\/drp\/wp-json\/wp\/v2\/posts\/1024\/revisions\/1047"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/drp\/wp-json\/wp\/v2\/media?parent=1024"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/drp\/wp-json\/wp\/v2\/categories?post=1024"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/drp\/wp-json\/wp\/v2\/tags?post=1024"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}