Anirban Bhaduri's Hompage

My research primarily focuses on Derived Categories, Algebraic Geometry, Representation Theory of quivers. For my current research, I have studied categorical complexities of derived categories of (noncommutative) curves such as weighted projective line by computing invariants like Rouquier Dimension, Generation Time and Orlov Spectra. Most of these computational problems heavily use techniques from Homological and Commutative Algebra. Lately, I have been interested in learning topics like Differential Graded Algebras and Homological Mirror Symmetry. Here is a link to my Google Scholar.

Published

• 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

Preprint

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

• An Explicit Derived Mckay Correspondance For Some Complex Reflection Group of Rank Two, with Yael Davidov, Eleanore Faber, Katrina Honigs, Peter McDonald, C. Eric Overton-Walker, AND Dylan Spence. (Accepted for publication at Advances in Mathematics) Arxiv Link

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

In Preparation

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