Ritvik Ramkumar

I am a fifth year PhD student at UC Berkeley in the Department of Mathematics. My advisor is David Eisenbud and I am primarily interested in Algebraic Geometry (with a view toward Commutative Algebra).

Research

  1. A Hilbert scheme of radius two [submitted | arXiv]

  2. The Hilbert scheme of a pair of linear spaces is a Mori dream space [to be submitted |arXiv]

  3. Smoothness of the Hilbert scheme of a pair of linear spaces [submitted | arXiv]

  4. Singular lexicographic points on Hilbert schemes (with Alessio Sammartano), [submitted | arXiv]

  5. On the tangent space to the Hilbert scheme of points in P^3 (with Alessio Sammartano), [submitted | arXiv]

  6. Hilbert schemes with few Borel fixed points, [submitted | arXiv]

  7. Embeddings of quotient division algebras of rings of differential operators (with Jason P. Bell, Colin Ingalls) , Israel J. Math. 219: 411-430 (2017) [Journal | arXiv]

Software

  • GKMVarieties - A Macaulay2 package for computations with GKM varieties and moment graphs (with Chris Eur)

Other

Contact

Office: 1095 Evans Hall

Email: ritvik [at] berkeley [dot] edu