Drew's Research

Projects

Axiomatization of Probabilistic Automata with Angelic Nondeterminism

Summer 2026

Visualization of ${\mathrm{\mathbb{Z}}}_p$-continuous functions

Spring 2026

Final paper for Senior Seminar on $p$-adic numbers. I created a two-plane plot visualization for ${\mathrm{\mathbb{Z}}}_p$-continuous functions. I demonstrated the pedagogical value of this plot by exploring the Morita Gamma function ${\mathrm{\Gamma }}_p$.

Active Learning materials for Lie Algebra Representations

Spring 2026 Final project for course on representation theory for finite groups. I created active learning course materials (worksheets, quiz, a homework problem) exploring representations of matrix Lie groups and their corresponding Lie algebras. While neither matrix Lie groups nor Lie algebras are finite, many finitary results extend naturally.

Notes on Mathematical Structure of Syntactic Merge

Fall 2025

Enumeration of Transfer Systems on Arborescences

Summer 2025

Researched under Professor Christy Hazel on enumeration of "transfer systems," a combinatorial object relevant in G-equivariant homotopy theory. I produced a novel recurrence for a certain class of transfer systems. I presented a poster at JMM 2026. Paper is in preprint.

Keep Up

I may occasionally make blog posts about my research. You can see all posts tagged as such here.