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)