## Introduction

I am a Harvard undergraduate concentrating in math. I'm interested in algebraic geometry and representation theory.

Papers:

Hyperelliptic curves with maximal Galois action on the torsion points of their Jacobians, with A. Landesman, A. Swaminathan, and Y. Xu, submitted (2017), arXiv:1705.08777.

Lifting subgroups of symplectic groups over Z / \ell Z, with A. Landesman, A. Swaminathan, and Y. Xu, *Research in Number Theory* **3**(14) (2017).

Surjectivity of Galois representations in rational families of abelian varieties, with A. Landesman, A. Swaminathan, and Y. Xu, submitted (2016), arXiv:1608.05371.

Transformations and coupling relations for affine connections, with Jun Zhang, *Differential Geometry and its Applications* **49** (2016), 111-130.

Expository articles:

Underived chiral Koszul duality (2017)

The Weyl character formula (2016)

Intersection, linking, and the Lefschetz-Hopf fixed point formula (2015)