Welcome to my website! I’m a second year PhD student at University of North Carolina – Chapel Hill studying pure mathematics. I graduated from University of Texas at Austin in May 2021, with a Bachelor of Science in Math and Physics. My research interests are neighborhoods of (complex) algebraic geometry, high energy mathematical physics (especially mirror symmetry, QFT, and string theory), and geometric and categorical representation theory, especially geometric Langlands. Warning: This list is highly volatile.
When I’m not doing math, you can find me playing soccer, listening to loud music, and creating lists that obey the rule of three.
What I’m learning about this semester (outside of class) (Summer 2022):
I) The main thing I’m doing over the summer is studying to pass the comprehensive(/qual/prelim) exams in August. This involves studying the standard first year sequences and practicing many problems in the areas of manifolds, algebraic topology, real and complex analysis and abstract algebra.
II) Following along several mini courses as part of UT’s summer mini course program. These include courses on Fukaya categories, Lie groupoids and differentiable stacks, and topological field theory.
Talks given in an epsilon neighborhood of today:
Kahler Geometry and Hodge Theory – April 2022, Algebraic Geometry Course @ UNC-CH, Lecture notes available
How many Linearly Independent Vector Fields Fit on the N-Sphere? – October 2021, UNC-CH GMA Visions Seminar
Conferences attended in an epsilon neighborhood of today:
Geometric Representation Theory – June 2022, Kavli Institute for Physics and Mathematics of the Universe (Kavli IPMU, Tokyo, Japan) (Online)
QFT for Mathematicians 2022 – June 2022, Perimeter Institute (Online)
Western Algebraic Geometry Symposium (WAGS) – April 2022, Colorado State University
Categorical Methods in Representation Theory and Quantum Topology – April 2022, University of Virginia