Staff profile
Overview
https://apps.dur.ac.uk/biography/image/1609
Professor Alexander Stasinski
Professor
Affiliation | Telephone |
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Professor in the Department of Mathematical Sciences |
Research interests
- Representations of finite and p-adic groups
- Deligne--Lusztig theory and generalisations
- Algebraic groups and related algebraic geometry
- Representation growth and zeta functions
- Algebraic aspects of number theory
Esteem Indicators
- 2000: From June 2017: Full member of the EPSRC Peer Review College.
Publications
Conference Paper
- Representations of GL_N over finite local principal ideal rings: an overview
Stasinski, A. (2015, June). Representations of GL_N over finite local principal ideal rings: an overview. Presented at Around Langlands Correspondences, Paris, France
Journal Article
- Rationality of representation zeta functions of compact p-adic analytic groups
Stasinski, A., & Zordan, M. (in press). Rationality of representation zeta functions of compact p-adic analytic groups. American Journal of Mathematics, - Rationality of twist representation zeta functions of compact p-adic analytic groups
Stasinski, A., & Zordan, M. (2024). Rationality of twist representation zeta functions of compact p-adic analytic groups. Transactions of the American Mathematical Society, 377, 7601-7631 - Representatives of similarity classes of matrices over PIDs corresponding to ideal classes
Knight, L., & Stasinski, A. (2023). Representatives of similarity classes of matrices over PIDs corresponding to ideal classes. Glasgow Mathematical Journal, 66(1), 88-103. https://doi.org/10.1017/s0017089523000356 - Representations of SL over finite local rings of length two
Stasinski, A. (2021). Representations of SL over finite local rings of length two. Journal of Algebra, 566, 119-135. https://doi.org/10.1016/j.jalgebra.2020.08.036 - A uniform proof of the finiteness of the class group of a global field
Stasinski, A. (2021). A uniform proof of the finiteness of the class group of a global field. The American Mathematical Monthly, 128(3), 239-249. https://doi.org/10.1080/00029890.2021.1855036 - Representations of reductive groups over finite local rings of length two
Stasinski, A., & Vera-Gajardo, A. (2019). Representations of reductive groups over finite local rings of length two. Journal of Algebra, 525, 171-190. https://doi.org/10.1016/j.jalgebra.2018.11.039 - Representation growth of compact linear groups
Häsä, J., & Stasinski, A. (2019). Representation growth of compact linear groups. Transactions of the American Mathematical Society, 372(2), 925-980. https://doi.org/10.1090/tran/7618 - Commutators of trace zero matrices over principal ideal rings
Stasinski, A. (2018). Commutators of trace zero matrices over principal ideal rings. Israel Journal of Mathematics, 228(1), 211-227. https://doi.org/10.1007/s11856-018-1762-5 - The regular representations of GLN over finite local principal ideal rings
Stasinski, A., & Stevens, S. (2017). The regular representations of GLN over finite local principal ideal rings. Bulletin of the London Mathematical Society, 49(6), 1066-1084. https://doi.org/10.1112/blms.12099 - The algebraisation of higher Deligne–Lusztig representations
Chen, Z., & Stasinski, A. (2017). The algebraisation of higher Deligne–Lusztig representations. Selecta Mathematica (New Series), 23(4), 2907-2926. https://doi.org/10.1007/s00029-017-0349-z - Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces
Stasinski, A., & Voll, C. (2017). Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces. Forum Mathematicum, 29(3), 717-734. https://doi.org/10.1515/forum-2015-0099 - Similarity and commutators of matrices over principal ideal rings
Stasinski, A. (2016). Similarity and commutators of matrices over principal ideal rings. Transactions of the American Mathematical Society, 368(4), 2333-2354. https://doi.org/10.1090/tran/6402 - Representation zeta functions of nilpotent groups and generating functions for Weyl groups of type B
Stasinski, A., & Voll, C. (2014). Representation zeta functions of nilpotent groups and generating functions for Weyl groups of type B. American Journal of Mathematics, 136(2), 501-550. https://doi.org/10.1353/ajm.2014.0010 - A New Statistic on the Hyperoctahedral Groups
Stasinski, A., & Voll, C. (2013). A New Statistic on the Hyperoctahedral Groups. Electronic Journal of Combinatorics, 20(3), Article 50 - Reductive group schemes, the Greenberg functor, and associated algebraic groups
Stasinski, A. (2012). Reductive group schemes, the Greenberg functor, and associated algebraic groups. Journal of Pure and Applied Algebra, 216(5), 1092-1101. https://doi.org/10.1016/j.jpaa.2011.10.027 - Extended Deligne–Lusztig varieties for general and special linear groups
Stasinski, A. (2011). Extended Deligne–Lusztig varieties for general and special linear groups. Advances in Mathematics, 226(3), 2825-2853. https://doi.org/10.1016/j.aim.2010.10.010 - On cuspidal Representations of General Linear Groups over Discrete Valuation Rings
Aubert, A.-M., Onn, U., Prasad, A., & Stasinski, A. (2010). On cuspidal Representations of General Linear Groups over Discrete Valuation Rings. Israel Journal of Mathematics, 175(1), 391-420. https://doi.org/10.1007/s11856-010-0016-y - Unramified representations of reductive groups over finite rings
Stasinski, A. (2009). Unramified representations of reductive groups over finite rings. Representation Theory, 13, 636-656. https://doi.org/10.1090/s1088-4165-09-00350-1 - The smooth representations of GL_2(o)
Stasinski, A. (2009). The smooth representations of GL_2(o). Communications in Algebra, 37(12), 4416-4430. https://doi.org/10.1080/00927870902829049
Supervision students
Alexander Jackson
4P
Ewan Cassidy
3P