Ritvik Ramkumar

H.C. Wang Assistant Professor

Research Focus

Research Area: Algebraic Geometry, Commutative Algebra

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

Publications

  • Rational singularities of nested Hilbert schemes (with Alessio Sammartano) (arxiv.2109.09002)

  • The fiber-full scheme (with Yairon Cid-Ruiz) (arxiv.2108.13986)

  • On the tangent space to the Hilbert scheme of points in P^3 (with Alessio Sammartano), Transactions of the American Mathematical Society  375: 6179-6203 (2022).

  • The Hilbert scheme of a pair of linear spaces, Mathematische Zeitschrift 300: 493-540 (2022)

  • On the smoothness of lexicographic points on Hilbert schemes (with Alessio Sammartano), Journal of Pure and Applied Algebra 226: Article 106872 (2022)

Courses - Fall 2022

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