Instructor in Mathematics
Princeton University
Email: firstname at princeton dot eduOffice: Fine Hall 1107
My research is in algebraic geometry, particularly derived categories and their connections to birational geometry.
Previously, I was a postdoctoral fellow at SLMath (Spring 2024) and a member of the Institute for Advanced Study (Fall 2023). Before that, I was a graduate student at Cornell University, advised by D. Halpern-Leistner.
I am coorganizing the Princeton Algebraic Geometry Seminar.
Publications and preprints
Advances in Mathematics 499 (2026), article 111046.
We construct new examples of phantom categories in the derived categories of two kinds of rational surfaces: the blowup of the plane at 11 points in general position, and the blowup of the second Hirzebruch surface at nine points in general position. We also propose conjectures for blowups of other Hirzebruch surfaces.
Preprint (2025).
We prove Galkin's conjecture for cubic fourfolds: the symmetric square of the Kuznetsov component is equivalent to the derived category of the Fano variety of lines. A key ingredient is a derived equivalence for a 12-dimensional flop.
Proceedings of the American Mathematical Society 153 (2025), no. 3, 963–968.
We show that the derived category of the blowup of the projective plane at points in very general position on a smooth cubic curve contains no phantom subcategories. We also propose a conjectural obstruction to phantoms on surfaces.
Advances in Mathematics 482 (2025), article 110638.
Using window categories, we construct full strong exceptional collections of vector bundles on certain linear GIT quotients by reductive groups of rank two. We also obtain further examples among decorated quiver varieties.
Hyperkähler fourfolds and categorical Hilbert squares — Oberwolfach Reports, preliminary report 29/2026.
Current: MAT202 — Linear Algebra with Applications
Category theory and homological algebra (PDF).
