Ritvik Ramkumar

Assistant Professor

Education

Ph.D. in Mathematics, University of California, Berkeley, 2022

BMath in Pure Mathematics, Combinatorics & Optimization, University of Waterloo, 2015

Research Group

Algebra and Algebraic Geometry

Bio

Research Interests

I am interested in algebraic geometry and its interactions with commutative algebra and combinatorics, particularly in the context of moduli spaces.

Selected Publications

• The Hilbert scheme of points on a threefold, I with Joachim Jelisiejew and Alessio Sammartano, arXiv:2409.17009
• Cartwright-Sturmfels Hilbert Schemes with Alessio Sammartano, arXiv:2410.10478
• Projectivity of the moduli of equidimensional branchvarieties with Daniel Halpern-Leistner, Andres Fernandez Herrero, and Trevor Jones, to appear in Duke Mathematical Journal
• On the parity conjecture for Hilbert schemes of points on threefolds with Alessio Sammartano, Annali della Scuola Normale Superiori di Pisa, Classe di Scienze (2025).
• On Rees algebras of 2-determinantal ideals with Alessio Sammartano, Journal of the London Mathematical Society (2024)