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Durham University

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Staff Profile

Alexander Stasinski, PhD University of Nottingham

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Professor, Algebra in the Department of Mathematical Sciences

Contact Alexander Stasinski (email at alexander.stasinski@durham.ac.uk)

Research Groups

Department of Mathematical Sciences

  • Pure Mathematics
  • Pure Mathematics: Algebra & Number Theory

Research Interests

  • Representations of finite and p-adic groups
  • Representation growth and zeta functions
  • Algebraic groups

Publications

Journal Article

  • Stasinski, Alexander (2021). Representations of SL over finite local rings of length two. Journal of Algebra 566: 119-135.
  • Stasinski, Alexander (2020). A uniform proof of the finiteness of the class group of a global field. The American Mathematical Monthly
  • Häsä, J. & Stasinski, A. (2019). Representation growth of compact linear groups. Transactions of the American Mathematical Society 372(2): 925-980.
  • Stasinski, Alexander & Vera-Gajardo, Andrea (2019). Representations of reductive groups over finite local rings of length two. Journal of Algebra 525: 171-190.
  • Stasinski, A. (2018). Commutators of trace zero matrices over principal ideal rings. Israel Journal of Mathematics 228(1): 211-227.
  • Stasinski, Alexander & Voll, Christopher (2017). Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces. Forum Mathematicum 29(3): 717-734.
  • Chen, Zhe & Stasinski, Alexander (2017). The algebraisation of higher Deligne–Lusztig representations. Selecta Mathematica 23(4): 2907-2926.
  • 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.
  • Stasinski, Alexander (2016). Similarity and commutators of matrices over principal ideal rings. Transactions of the American Mathematical Society 368(4): 2333-2354.
  • Stasinski, Alexander & Voll, Christopher (2014). Representation zeta functions of nilpotent groups and generating functions for Weyl groups of type B. American Journal of Mathematics 136 (2): 501-550.
  • Stasinski, Alexander & Voll, Christopher (2013). A New Statistic on the Hyperoctahedral Groups. The Electronic Journal of Combinatorics 20(3): 50.
  • Stasinski, Alexander (2012). Reductive group schemes, the Greenberg functor, and associated algebraic groups. Journal of Pure and Applied Algebra 216(5): 1092–1101.
  • Stasinski, Alexander (2011). Extended Deligne–Lusztig varieties for general and special linear groups. Advances in Mathematics 226(3): 2825–2853.
  • 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.
  • Stasinski, Alexander (2009). The smooth representations of GL_2(o). Communications in Algebra 37(12): 4416-4430.
  • Stasinski, Alexander (2009). Unramified representations of reductive groups over finite rings. Representation Theory 13: 636-656.

Conference Paper

  • Stasinski, A. (2017), Representations of GL_N over finite local principal ideal rings: an overview, in Brumley, Farrell, Gómez Aparicio, Maria Paula & Mínguez, Alberto eds, Contemporary Mathematics 691: Around Langlands Correspondences. Paris, France, American Mathematical Society, Providence, Rhode Island, 337-358.

Supervises