I am a postdoctoral research fellow for the Department of Mathematics at Università degli Studi di Milano under the supervision of Amnon Neeman. During April 2024, I was a research associate at the Simons-Laufer Mathematical Sciences Institute. Prior to this, I was a PhD student at the University of South Carolina under the supervision of Matthew Ballard, as well as an M.Sc. student at the University of New Mexico under the supervision of Alexandru Buium.
A copy of my CV may be found here.
My work is on algebraic geometry, especially towards singularity theory, using methods from derived categories and homological algebra. See below for details.
Dévissage by zeroth intersection Du Bois complexes
Sridhar Venkatesh
In preparation
Openness of Fourier–Mukai loci for algebraic spaces
Elías Guisado Villalgordo, PDF, to appear on arXiv
Localizing subcategories for algebraic stacks
arXiv
Proxy smallness meets t-structures
Michal Hrbek, Giovanna Le Gros, Sergio Pavon
arXiv
Remarks on diagonal dimension for algebraic stacks
Fei Peng
arXiv
Dualizing complexes and t-structures for algebraic stacks
arXiv
Perfect generation for regular algebraic stacks
arXiv
Yoga for Fourier–Mukai partnership
Elías Guisado Villalgordo, Kabeer Manali Rahul, Nebojsa Pavic
arXiv
Frobenius generation for algebraic stacks
Fei Peng
arXiv
Nonexistence of singly compactly generated t-structures for schemes
Anirban Bhaduri, Timothy De Deyn, Michal Hrbek, Kabeer Manali Rahul
arXiv
Measuring birational derived splinters
Timothy De Deyn, Kabeer Manali Rahul, Sridhar Venkatesh
arXiv | Bull. Lond. Math. Soc.
A note on quasi-perfect morphisms
Timothy De Deyn, Kabeer Manali Rahul
arXiv
Simple criteria for higher rational singularities
Sándor Kovács, Sridhar Venkatesh
arXiv
Perfectly generated t-structures for algebraic stacks
Michal Hrbek, Simone Pizzirani
arXiv
Compact approximation and descent for algebraic stacks
Jack Hall, Fei Peng, Alicia Lamarche
arXiv, accepted to Forum Math. Sigma
Categorical characterizations of regularity for algebraic stacks
Timothy De Deyn, Kabeer Manali Rahul, Fei Peng
arXiv
Descending strong generation in algebraic geometry
Timothy De Deyn, Kabeer Manali Rahul
arXiv
Integral transforms on singularity categories for Noetherian schemes
Uttaran Dutta, Kabeer Manali Rahul
arXiv | accepted to Michigan Math. J.
Measuring rationality of Schwede–Takagi pairs
Peter McDonald, Sridhar Venkatesh
arXiv | J. Pure Appl. Algebra.
Descent and generation for noncommutative coherent algebras over schemes
Timothy De Deyn, Kabeer Manali Rahul
arXiv
Approximability and Rouquier dimension for noncommuative algebras over schemes
Timothy De Deyn, Kabeer Manali Rahul
arXiv
Triangulated characterizations of singularities
Sridhar Venkatesh
arXiv | Nagoya Math. J.
Classification and nonexistence for t-structures on derived categories of schemes
Alexander Clark, Kabeer Manali Rahul, Chris J. Parker
arXiv
Closedness of the singular locus and generation for derived categories
Souvik Dey
arXiv | J. of Algebra
Dévissage for generation in derived categories
Souvik Dey
arXiv | Proc. Amer. Math. Soc.
Approximation by perfect complexes detects Rouquier dimension
Noah Olander
arXiv | Mosc. Math. J.
Preservation for generation along the structure morphism of coherent algebras over a scheme
Anirban Bhaduri, Souvik Dey
arXiv | Bull. Lond. Math. Soc.
Descent conditions for generation in derived categories
arXiv | J.Pure Appl. Algebra
Strong generation for module categories
Souvik Dey, Ryo Takahashi
arXiv | J. Pure Appl. Algebra
High Frobenius Pushforwards generate the bounded derived category
Matthew Ballard, Srikanth B. Iyengar, Alapan Mukhopadhyay, Josh Pollitz
arXiv | Forum Math. Sigma