Professor Tomasz Brzezinski

Professor Tomasz Brzezinski
Professor
Mathematics
Telephone: (01792) 295460
Room: Office - 307
Third Floor
Computational Foundry
Bay Campus

Areas of Expertise

  • Noncommutative geometry
  • Corings and comodules
  • Hopf algebras and quantum groups
  • Category theory

Publications

  1. Brzezinski, T. The Quantum Flag Manifold $SU_q(3)/\T^2$ as an Example of a Noncommutative Sphere Bundle Indiana University Mathematics Journal
  2. BrzeziƄski, T. Trusses: Paragons, ideals and modules Journal of Pure and Applied Algebra 106258
  3. Brzezinski, T. Trusses: Between braces and rings Transactions of the American Mathematical Society 1
  4. Brzezinski, T. On twisted reality conditions Letters in Mathematical Physics 109 643 659
  5. Brzezinski, T., Rembielinski, J. q-integrals on the quantum complex plane Journal of Physics A: Mathematical and General 25 7 1945 1951

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Teaching

  • MA-111 Foundations of Algebra

    An introduction to logic and algebraic structures. The course covers the basics of logic, proof and algebraic manipulation before introducing the abstract algebra of groups, rings and fields.

  • MAW111 Sylfeini Algebra

    Cyflwyniad i strwythurau rhesymegol ac algebraidd. Mae'r cwrs hwn yn ystyried sylfeini rhesymeg, prawf a thrin algebraidd cyn cyflwyno yr algebra haniaethol o grwpiau, cylchoedd a meysydd.

Supervision

  • Topics in the theory of trusses. (current)

    Student name:
    PhD
    Other supervisor: Dr Nelly Villamizar
  • Title not finalised yet. Approximate title: On generalized Weyl algebras and their skew derivations. (awarded 2019)

    Student name:
    PhD
    Other supervisor: Dr Grigory Garkusha