Research:

My research interests lie in arithmetic and algebraic geometry. In particular, I am interested in problems around rational points on algebraic varieties, geometry of moduli spaces, hyperbolicity, and positivity of vector bundles. 

Publication

Volumes of Subvarieties of Complex Ball Quotients and Sparsity of Rational Points, published in Crelle’s Journal. [arxiv] [journal article]

Preprint

Positivity of the Cotangent Bundle of Complex Hyperbolic Manifolds with Cusps, submitted. [arxiv]

Sparsity of rational points on torsion level covers \\of Hilbert modular varieties.

Upcoming Work

• Degree of Irrationality of Compact Locally Symmetric Domains, joint with Sai-Kee Yeung

• Density Degree Sets in Families, joint with Nathan Chen, Morena Porzio, and Lea Beneish

• Perverse Sheaves on Ball Quotients, joint with Mert Akdenzili