Dr Amit Shah
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About
Overview
Dr Amit Shah is a member of the Representation Theory Group at City St George's.
His research interests include:
- classical and higher homological algebra
- the representation theory of algebras
- category theory
His motivation often comes from phenomena in the theory of cluster algebras. Examples of structures he studies are: abelian, exact, triangulated and extriangulated categories and their higher counterparts known as n-abelian, n-exact, (n+2)-angulated and n-exangulated categories (n≥1). Furthermore, he is often motivated by phenomena arising in the representation theory of algebras, especially cluster algebras.
Qualifications
- PhD, University of Leeds, United Kingdom, 2019
- MS, University of Illinois at Chicago, United States, 2015
- MMath, University of Warwick, United Kingdom, 2013
Employment
- Lecturer, City St George's, University of London, United Kingdom, September 2025 - present
- Postdoc, Aarhus University, Denmark, March 2021 - December 2024
- LMS Early Career Fellow, University of Leeds, United Kingdom, December 2020 - February 2021
- Postdoc, Newcastle University, United Kingdom, November 2019 - November 2020
Memberships of professional organisations
- Ordinary Member, London Mathematical Society, November 2025 - present
- Associate Member, London Mathematical Society, November 2020 - October 2025
Publications
Publications by category
Journal articles (15)
- Bennett-Tennenhaus, R., Goodbody, I., Letz, J.C. and Shah, A. (2026). Tensor extriangulated categories. Journal of Algebra, 685, pp. 361-405. doi:10.1016/j.jalgebra.2025.07.041
- Fedele, F., Jørgensen, P. and Shah, A. (2026). The index in d-exact categories. Journal of Algebra, 686, pp. 814-835. doi:10.1016/j.jalgebra.2025.08.021
- Brüstle, T., Hassoun, S., Shah, A. and Tattar, A. (2025). Stratifying systems and Jordan-Hölder extriangulated categories. Glasgow Mathematical Journal pp. 1-27. doi:10.1017/s0017089525100621
- Ogawa, Y. and Shah, A. (2024). A resolution theorem for extriangulated categories with applications to the index. Journal of Algebra, 658, pp. 450-485. doi:10.1016/j.jalgebra.2024.05.041
- Jørgensen, P. and Shah, A. (2024). Grothendieck groups of d-exangulated categories and a modified Caldero-Chapoton map. Journal of Pure and Applied Algebra, 228(5), pp. 107587-107587. doi:10.1016/j.jpaa.2023.107587
- Jørgensen, P. and Shah, A. (2024). The Index With Respect to a Rigid Subcategory of a Triangulated Category. International Mathematics Research Notices, 2024(4), pp. 3278-3309. doi:10.1093/imrn/rnad130
- Klapproth, C., Msapato, D. and Shah, A. (2024). Idempotent Completions of n-Exangulated Categories. Applied Categorical Structures, 32(1). doi:10.1007/s10485-023-09758-5
- Bennett-Tennenhaus, R., Haugland, J., Sandøy, M.H. and Shah, A. (2024). THE CATEGORY OF EXTENSIONS AND IDEMPOTENT COMPLETION. Theory and Applications of Categories, 41, pp. 1077-1107
- Bennett-Tennenhaus, R., Haugland, J., Sandøy, M.H. and Shah, A. (2023). The category of extensions and a characterisation of n-exangulated functors. Mathematische Zeitschrift, 305(3). doi:10.1007/s00209-023-03341-3
- Shah, A. (2023). Krull-Remak-Schmidt decompositions in Hom-finite additive categories. Expositiones Mathematicae, 41(1), pp. 220-237. doi:10.1016/j.exmath.2022.12.003
- Bennett-Tennenhaus, R. and Shah, A. (2021). Transport of structure in higher homological algebra. Journal of Algebra, 574, pp. 514-549. doi:10.1016/j.jalgebra.2021.01.019
- Hassoun, S., Shah, A. and Wegner, S.-.A. (2021). Examples and non-examples of integral categories and the admissible intersection property. Cahiers de Topologie et Geometrie Differentielle Categoriques, 62(3)
- Hassoun, S. and Shah, A. (2020). Integral and quasi-abelian hearts of twin cotorsion pairs on extriangulated categories. Communications in Algebra, 48(12), pp. 5142-5162. doi:10.1080/00927872.2020.1779737
- Shah, A. (2020). Auslander-Reiten theory in quasi-abelian and Krull-Schmidt categories. Journal of Pure and Applied Algebra, 224(1), pp. 98-124. doi:10.1016/j.jpaa.2019.04.017
- Shah, A. (2019). Quasi-abelian hearts of twin cotorsion pairs on triangulated categories. Journal of Algebra, 534, pp. 313-338. doi:10.1016/j.jalgebra.2019.06.011