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Alexei Yu. Pirkovskii

  • Alexei Yu. Pirkovskii has been at HSE University since 2010.

Education, Degrees and Academic Titles

  • 2007
    Associate Professor
  • 2000

    Candidate of Sciences* (PhD) in Real, Complex and Functional Analysis
    Lomonosov Moscow State University
    Thesis Title: The existence problem for injective modules over "classical" topological algebras, and injective homological dimensions

  • 1997

    Lomonosov Moscow State University

* Candidate of Sciences
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.

Research interests

Locally convex (in particular Banach) algebras and modules. Homological algebra in categories of topological modules: homological dimensions, Hochschild (co)homology of topological algebras etc. Topological algebras in noncommutative geometry and in quantum group theory.

Awards and Accomplishments

Best Teacher – 2023, 2022, 2021, 2020, 2018, 2017, 2016, 2012, 2011

Courses (2023/2024)

Courses (2022/2023)

Courses (2021/2022)

Courses (2019/2020)

Courses (2018/2019)

Courses (2017/2018)

Courses (2016/2017)

Introduction to Topology (Bachelor’s programme; Faculty of Mathematics; 1 year, 3 module)Rus

Editorial board membership

  • 2019: Member of the Editorial Board, Функциональный анализ и его приложения (Functional Analysis and Its Applications).

  • 2011: Member of the Editorial Board, European Journal of Mathematics.


  • 2021
    Additive categories between algebra and functional analysis. Presentation: Flat locally convex modules beyond the metrizable case
  • 2018
    Paweł Domański Memorial Conference, July 1-8, 2018 (Będlewo). Presentation: Dense quasi-free topological subalgebras of the Toeplitz algebra
  • Conference on Partial Differential Equations and Applications in Memory of Professor B. Yu. Sternin (Москва). Presentation: Dense quasi-free subalgebras of the Toeplitz algebra
  • 2014
    Workshop on Operator Spaces, Locally Compact Quantum Groups and Amenability (Торонто). Presentation: Taylor's functional calculus and derived categories
  • Joint Meeting of the German Mathematical Society and the Polish Mathematical Society (Познань). Presentation: Taylor's functional calculus and derived categories of Fréchet modules
  • 2013
    Integrable systems and Quantum symmetries (ISQS-21) (Прага). Presentation: Quantum polydisk, quantum ball, and a q-analog of Poincaré's theorem
  • Banach Algebras and Applications (Banach Algebras 2013) (Гётеборг). Presentation: Quantum polydisk, quantum ball, and a q-analog of Poincaré's theorem



Moscow Mathematical Society (since 2002)

American Mathematical Society (since 2003) 

Timetable for today

Full timetable

‘HSE Offers the Opportunity to Study Mathematics Alongside Renowned Mathematicians as Part of a Vibrant Research Community’

HSE University’s Faculty of Mathematics is one of the strongest in Russia, consistently ranking high on global university rankings. Its degree programmes attract the best students, not only from Russia, but also from around the world, by offering them a well-rounded mathematical education and a wide range of learning opportunities.  In an interview with HSE News Service, a Master’s student and an HSE alum talk about features of the HSE Master’s Programme in Mathematics.