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

• I passed my qualifying exam on November 29, 2017. Here’s my syllabus and transcript.

Contact

Office: 1095 Evans Hall

Email: ritvik [at] berkeley [dot] edu