Ritvik Ramkumar

Ritvik Ramkumar is an H.C. Wang Assistant Professor at Cornell University's Department of Mathematics, with a focus on algebraic geometry, commutative algebra, and combinatorics. He will transition to the University of Notre Dame as an Assistant Professor in Fall 2024. His research explores moduli spaces, Hilbert schemes, and their interactions with algebraic structures, supported by NSF Grant DMS-2401462.

Education includes a Ph.D. from UC Berkeley (2022), advised by David Eisenbud, and an undergraduate degree from the University of Waterloo. His work addresses foundational questions in algebraic geometry, such as rational singularities, determinantal ideals, and geometric properties of Hilbert schemes.

Research Interests: Algebraic Geometry (with emphasis on Hilbert schemes), Commutative Algebra (focusing on Rees algebras and determinantal ideals), and Combinatorics (combinatorial methods in algebraic geometry). Recent projects include studies on parity conjectures for threefolds, fiber-full schemes, and moduli of equidimensional branchvarieties.

Publications span topics like Hilbert schemes of points, Borel-fixed ideals, and tangent spaces on projective varieties. His work bridges geometric and algebraic methods, contributing to both theoretical frameworks and computational approaches.

Grants: NSF DMS-2401462 supports his research. No awards explicitly listed, though his publications indicate significant contributions to the field.

Professional Activities: Teaches MATH 7310 (Topics in Algebra) at Cornell. Maintains an active research agenda with collaborations (e.g., with Alessio Sammartano, Yairon Cid-Ruiz). Office: 580 Malott Hall, Cornell University.