Research:

My research interests lie in arithmetic and algebraic geometry, particularly problems concerning rational points on algebraic varieties, hyperbolicity, and positivity of vector bundles, using techniques from geometric analysis. I am also interested in the geometry of locally symmetric varieties. 

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]

Upcoming Work

• Sparsity of rational torsion points on abelian varieties with real multiplication, draft available upon request.

• 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