Welcome to my website! I’m a third 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/derived) algebraic geometry, high energy mathematical physics (especially mirror symmetry, QFT/TQFT, 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 doing (Fall 2023):
I) As always, for a “diary”-like collection of a subset of the math I’m doing, consult An Example a Day
Talks given (In an epsilon neighborhood of today):
Stable Envelopes for T*P^n – September 2023, Stable Envelopes Seminar @ UNC-CH.
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Cohomology ring of the full flag variety – August 2023, jGMRT @ UNC-CH.
27 Lines via Equivariant Localization – April 2023, Equivariant Cohomology Seminar @ UNC-CH.
Integration formulas in Equivariant Cohomology – March 2023, Equivariant Cohomology Seminar @ UNC-CH.
Kahler Geometry and Hodge Theory – February 2023, jGMRT @ UNC-CH.
Introduction to Derived Functors – November 2022, Commutative Algebra final project @ UNC-CH, Notes available.
Differentiability of Lipschitz Functions in R^n (Rademacher’s Theorem) – November 2022, Measure theory final project @ UNC-CH, Notes available.
The Derived Category of Coherent Sheaves, Parts I & II – November 2022, jGMRT @ UNC-CH, Notes available.
Kahler Geometry and Hodge Theory – April 2022, Algebraic Geometry Course @ UNC-CH, Notes available.
Conferences attended (In an epsilon neighborhood of today):
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Los Angeles Workshop on Representation theory and Geometry (LAWRGe) (3d Mirror Symmetry and 3d TQFT) – June 2023, USC
Hyperkahler Quotients, Singularities, and Quivers – Jan/Feb 2023, Simons Center for Geometry and Physics
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
For a complete list of talks and conferences, please see my CV.
