Ritvik Ramkumar
H.C. Wang Assistant Professor
Education
- Ph.D. (2022) University of California, Berkeley
Departments and programs
- Mathematics
Academic interests
- Algebra
- Geometry
Links
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
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Rational singularities of nested Hilbert schemes (with Alessio Sammartano) (arxiv.2109.09002)
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The fiber-full scheme (with Yairon Cid-Ruiz) (arxiv.2108.13986)
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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).
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The Hilbert scheme of a pair of linear spaces, Mathematische Zeitschrift 300: 493-540 (2022)
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On the smoothness of lexicographic points on Hilbert schemes (with Alessio Sammartano), Journal of Pure and Applied Algebra 226: Article 106872 (2022)