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. Trusses: between braces and rings. Transactions of the American Mathematical Society
  2. & On twisted reality conditions. Letters in Mathematical Physics
  3. & q-integrals on the quantum complex plane. Journal of Physics A: Mathematical and General 25(7), 1945-1951.
  4. & On the quantum differential calculus and the quantum holomorphicity. 33
  5. & A class of bicovariant differential calculi on hopf algebras. Letters in Mathematical Physics 26(1), 67-78.

See more...

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.

  • MA-312 Higher Algebra

    This course approaches the theory of groups, rings and modules as abstract algebraic objects. The course also introduces categories as a language and unifying force in modern mathematics.

  • 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

  • Title not finalised yet. Approximate title: On generalized Weyl algebras and their skew derivations. (current)

    Student name:
    PhD
    Other supervisor: Dr Grigory Garkusha
  • Untitled (current)

    Student name:
    PhD
    Other supervisor: Dr Nelly Villamizar