Math

I enjoy building smooth 4-manifolds out of handles

in particular, constructing interesting fillings of 3-manifolds using horizontal handles

Spring 2026: Notes for my short presentation on the (purely) cosmetic surgery conjecture for Maggie Miller's topics course on open problems in low-dimensional topology.

Spring 2025: Illustrated the course notes written by Abhishek Shivkumar for Lisa Piccirillo's topics course on closed smooth 4-manifolds.

Upcoming

March 5, 2026: Temple College "Drawing shapes for a living (while getting a PhD in mathematics)" outreach talk for a community college audience 

April 22nd, 2026: UT Austin Junior Topology Seminar

Past

January 22, 2026: UT Austin, "Progress towards proving the (purely) cosmetic surgery conjecture" (notes).

November 18, 2025: UT Austin, "Horizontal handle decompositions and applications to embeddings" candidacy talk (slides)

April 2, 2025: UT Austin Junior Topology Seminar, "Horizonal Handle Decompositions and Fillings for S3p/q(K) ".

September 9, 2022: UT Austin Sophex Seminar, "Let's talk about SET" (slides).

August 9, 2019: YMC 2019, "Chebyshev Linearizations of Matrix Polynomials: Are They Well-Conditioned?" (poster on the same topic).