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/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 learning about this semester (outside of class) (Spring 2023):

I) I’m participating in a seminar led by Andrey Smirnov on equivariant cohomology/quiver varieties. I will present at least once.

II) I’m mainly reading two textbooks, Kirilov’s “Quiver representations and quiver varieties” and Tu’s “Introduction to equivariant cohomology”.

III) I’m participating in a seminar led by Jiuzu Hong and Prakash Belkale on the Riemann-Hilbert correspondence. I’m following along but not supremely closely. I may or may not give a presentation.

### Talks given (Union an epsilon neighborhood of today):

**Integration formulas in Equivariant Cohomology – **March 2022, Seminar @ UNC-CH, Notes forthcoming.

—————————–**Today**——————————————–

**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.

**How many Linearly Independent Vector Fields Fit on the N-Sphere? **– October 2021, UNC-CH GMA Visions Seminar

### Conferences attended (Union an epsilon neighborhood of today):

—————————–**Today**——————————————–

**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