Overview
I am an algebraic geometer. In particular, my main interests lie in birational geometry.
Current Appointments & Affiliations
Assistant Professor of Mathematics
·
2025 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
Complements and coregularity of Fano varieties
Journal Article Forum of Mathematics Sigma · February 7, 2025 We study the relation between the coregularity, the index of log Calabi-Yau pairs and the complements of Fano varieties. We show that the index of a log Calabi-Yau pair of coregularity is at most, where is the Weil index of. This extends a recent result du ... Full text CiteIndex of coregularity zero log Calabi–Yau pairs
Journal Article Algebra and Number Theory · January 1, 2025 We study the index of log Calabi–Yau pairs (X, B) of coregularity 0. We show that 2λ(KX + B) ∼ 0, where λ is the Weil index of (X, B). This is in contrast to the case of klt Calabi–Yau varieties, where the index can grow doubly exponentially wit ... Full text CiteRational points on 3-folds with nef anti-canonical class over finite fields
Journal Article Proceedings of the London Mathematical Society · January 1, 2025 We prove that a geometrically integral smooth projective 3-fold (Formula presented.) with nef anti-canonical class and negative Kodaira dimension over a finite field (Formula presented.) of characteristic (Formula presented.) and cardinality (Formula prese ... Full text CiteEducation, Training & Certifications
University of Utah ·
2019
Ph.D.