Hi! I'm Sridhar Venkatesh, an Assistant Adjunct Professor (Postdoc) at UCLA, mentored by Joaquín Moraga.
Previously, I was a PhD student at the University of Michigan advised by Mircea Mustaţă.
Research interests: Algebraic geometry. In particular: higher Du Bois and higher rational singularities, Hodge modules, toric varieties, derived categories.
Here is my CV (last updated: Aug 30, 2025), arXiv, Google Scholar.
Email: srivenk[at]math[dot]ucla[dot]edu
Research
Simple criteria for higher rational singularities (with Sándor Kovács, Pat Lank). Submitted (2025). (arXiv).
Lefschetz morphisms on singular cohomology and local cohomological dimension of toric varieties (with Hyunsuk Kim). Submitted (2025). (arXiv).
Local cohomology and singular cohomology of toric varieties via mixed Hodge modules (with Hyunsuk Kim). Submitted (2025). (arXiv).
Derived characterizations for rational pairs à la Schwede-Takagi and Kollár-Kovács (with Pat Lank, Peter McDonald). Submitted (2025). (arXiv).
Triangulated characterizations of singularities (with Pat Lank). Nagoya Mathematical Journal. Published online (2025). (journal) (arXiv).
The intersection cohomology Hodge module of toric varieties (with Hyunsuk Kim). Submitted (2024). (arXiv).
Local vanishing for toric varieties (with Wanchun Shen, Anh Duc Vo), manuscripta math. 175, 617–634 (2024). (journal) (arXiv).
On k-Du Bois and k-rational singularities (with Wanchun Shen, Anh Duc Vo). To appear in Ann. Inst. Fourier. (arXiv).
Other writing
Hodge Theoretic Singularities and Hodge Theoretic Aspects of Toric Varieties. PhD thesis (2025). Link.
Duality of differential operators and algebraic de Rham cohomology (with Caleb Ji, Casimir Kothari, Oliver Li, Svetlana Makarova, Shubhankar Sahai). (2024). arXiv.
(This came out of the 2023 Stacks Project Workshop.)
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). (2024). arXiv.
(This came out of a LoG(M) undergrad project done by Fiona, Daniel, Ashley, where Jenny and I were the mentors.)
Upcoming travel
Simons Collaboration on Moduli of Varieties, New York, Oct 2-3, 2025.
AMS Fall Central Sectional Meeting, Saint Louis University, Oct 18-19, 2025.