Kabeer Manali Rahul

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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

  1. 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.
  2. 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.
  3. Approximability and Rouquier dimension for noncommuative algebras over schemes, with Timothy De Deyn and Pat Lank. Preprint avaliable at arXiv:2408.04561.
  4. Descent and generation for noncommutative coherent algebras over schemes, with Timothy De Deyn and Pat Lank. Preprint avaliable at arXiv:2410.01785.
  5. Integral transforms on singularity categories for Noetherian schemes, with Uttaran Dutta and Pat Lank. Preprint avaliable at arXiv:2501.13834.
  6. Descending strong generation in algebraic geometry, with Timothy De Deyn and Pat Lank. Preprint avaliable at arXiv:2502.08629.

Conferences/Summer schools/masterclasses attended

  1. Geometric aspects of algebraic varieties, IISER Mohali, 17-19 March 2025
  2. Masterclass on Derived Category Methods in Ring Theory. Aarhus University, 13-16 August 2024.
  3. Summer School on Interactions between Algebra, Equivariance, and Homotopy Theory. Universität Regensburg, 24-28 June 2024.
  4. Purity, Approximation Theory and Spectra. Cetraro, 13-17 May 2024.
  5. Workshop on Finitistic Dimensions. Universität Bielefeld, 15-16 June 2023.
  6. Categories, clusters, and completions master class. Aarhus University, 22-24 March 2023.
  7. Tensor Categories in Sydney. University of Sydney, 28 Nov-2nd Dec 2022.

Photo by: Rudradip Biswas