Hi! I'm Sridhar Venkatesh, a 5th year PhD student at the University of Michigan. My advisor is Mircea Mustaţă.
I'm broadly interested in singularities in algebraic geometry. More specifically, I've been trying to understand the recently defined notions of higher Du Bois and higher rational singularities. Recently, I've also been thinking about toric varieties.
Email: srivenk[at]umich[dot]edu
Research
The intersection cohomology Hodge module of toric varieties (with Hyunsuk Kim). arXiv.
On Lengths of F_2[x,y,z]/(x^{d_1}, y^{d_2},z^{d_3}, x+y+z) (with Fiona Han, Jenny Kenkel, Daniel Li, Ashley Wiles). Submitted. arXiv.
(This came out of a LoG(M) undergrad project done by Fiona, Daniel, Ashley, where Jenny and I were the mentors.)Local vanishing for toric varieties (with Wanchun Shen, Anh Duc Vo). To appear in manuscripta mathematica (2024). (journal) (arXiv).
On k-Du Bois and k-rational singularities (with Wanchun Shen, Anh Duc Vo). Submitted. arXiv.