I am a Ph.D. candidate in mathematics at the University of Vermont, specializing in algebraic combinatorics, with a focus on matroid theory and its connections to geometry, topology, and Hodge-theoretic structures. My research explores how combinatorial objects encode deep geometric and algebraic information, particularly through Chow rings, convex and tropical geometry, and related homological invariants.
Alongside my research, I bring extensive teaching experience spanning more than a decade across secondary education, community colleges, and universities. I have taught a wide range of courses—from pre-algebra and college algebra through multivariable calculus, differential equations, and upper-division undergraduate mathematics—and have served as instructor, lecturer, grader, and substitute teacher. This breadth has shaped a teaching philosophy grounded in clarity, conceptual scaffolding, and helping students build intuition across levels of mathematical maturity.
I am particularly interested in the communication and structure of advanced mathematics: how abstract ideas can be explained, visualized, and made navigable without sacrificing rigor. This perspective informs both my academic work—through expository talks, seminars, and collaborative research—and my interest in training and evaluating AI systems for higher-level mathematical reasoning, proof construction, and abstract problem solving.
Outside of mathematics, I value physical practices that emphasize focus, adaptability, and long-term engagement. I began training Brazilian Jiu-Jitsu in 2015 after wrestling in high school and continue to train as a way to stay disciplined and active. I am also an avid snorkeler, with most of my experience in the La Jolla Underwater Park in San Diego, and I seek out opportunities to explore new environments while traveling, including lakes, creeks, and coastal sites. In addition, I enjoy bouldering as a complementary practice that combines problem solving with physical movement.
This site serves as a professional home for my research papers, curriculum vitae, talks, and selected expository or exploratory writing. It also reflects my broader interests in mathematical visualization, pedagogy, and the evolving role of mathematics education and reasoning in an AI-augmented world.