Anirban Bhaduri's Hompage

Algebraic geometry studies shapes defined by polynomial equations — curves, surfaces, and their higher-dimensional analogues — often by translating them into algebraic data that’s easier to compute with. My work measures how “complicated” these translated objects are: specifically, how many simple building blocks it takes to assemble the full algebraic structure of a given geometric space.

My research primarily focuses on derived categories studied in context of algebraic geometry and representation theory. Presently I focus on the computational aspect of derived categories of (noncommutative) curves such as weighted projective line and Dynkin/extended Dynkin quivers. Computing invariants like Rouquier Dimension, Generation Time and Orlov Spectra determine the complexity of a category. Most of my computational problems heavily use techniques from Homological and Commutative Algebra. Here is a link to my Google Scholar.

Published

• An explicit derived McKay correspondence for some complex reflection groups of rank two, with Yael Davidov, Eleonore Faber, Katrina Honigs, Peter McDonald, C. Eric Overton-Walker, AND Dylan Spence, Advances in Mathematics. Arxiv Link, Journal Link (2026)

• Preservation for generation along the structure morphism of coherent algebras over a scheme, with Souvik Dey and Pat Lank, Bulletin of the London Mathematical Society. Arxiv Link, Journal Link (2025)

Preprint

• Nonexistence of singly compactly generated t-structures for schemes, with Timothy De Deyn, Michal Hrbek, Pat Lank, Kabeer Manali-Rahul. Arxiv Link (2025)

• Dimension Theory of Noncommutative Curves, with Antonios-Alexandros Robotis and Isaac Goldberg. Arxiv Link (2024)

In Preparation

• Orlov Spectra for Weighted Projective Lines, with Matthew Ballard.