Kabeer Manali Rahul
I am currently a final year PhD student at the Australian National University under the supervision of Amnon Neeman . Most of my research is on derived and triangulated categories in the context of algebraic geometry. Recently, I have been working with derived categories arising in noncommutative algebraic geometry too.
Papers/Preprints
Bounded t-structures, finitistic dimensions, and singularity categories of triangulated categories, with Rudradip Biswas , Hongxing Chen , Chris J. Parker , and Junhua Zheng . Preprint available at arXiv:2401.00130 .
Classification and nonexistence results for tensor t-structures on derived categories of schemes, with Alexander Clark , Pat Lank , and Chris J. Parker . Preprint avaliable at arXiv:2404.08578 .
Approximability and Rouquier dimension for noncommuative algebras over schemes, with Timothy De Deyn and Pat Lank . Preprint avaliable at arXiv:2408.04561 .
Descent and generation for noncommutative coherent algebras over schemes, with Timothy De Deyn and Pat Lank . Preprint avaliable at arXiv:2410.01785 .
Integral transforms on singularity categories for Noetherian schemes, with Uttaran Dutta and Pat Lank . Preprint avaliable at arXiv:2501.13834 .
Descending strong generation in algebraic geometry, with Timothy De Deyn and Pat Lank . Preprint avaliable at arXiv:2502.08629 .
Conferences/Summer schools/masterclasses attended
Geometric aspects of algebraic varieties, IISER Mohali, 17-19 March 2025
Masterclass on Derived Category Methods in Ring Theory. Aarhus University, 13-16 August 2024.
Summer School on Interactions between Algebra, Equivariance, and Homotopy Theory. Universität Regensburg, 24-28 June 2024.
Purity, Approximation Theory and Spectra. Cetraro, 13-17 May 2024.
Workshop on Finitistic Dimensions. Universität Bielefeld, 15-16 June 2023.
Categories, clusters, and completions master class. Aarhus University, 22-24 March 2023.
Tensor Categories in Sydney. University of Sydney, 28 Nov-2nd Dec 2022.
Photo by: Rudradip Biswas