I am a mathematician, as well as a theoretical physicist, researching mathematical structures of quantum field theory (QFT). Primarily I am working in the framework of the algebraic quantum field theory (AQFT). Although my main goal is to understand the non-perturbative structure of QFT, recently I got interested also in the perturbative approach (pAQFT). My main research topics are:
  1. Physics:
    • algebraic quantum field theory
    • renormalization
    • quantum field theory on curved spacetimes
    • Batalin-Vilkovisky formalism
    • quantum gravity
    • noncommutative geometry
  2. Mathematics:
    • operator algebras
    • functional analysis
    • infinite dimensional calculus and differential geometry
    • infinite dimensional Lie groups
    • homological methods in physics
    • noncommutative geometry
© 2011 Katarzyna Rejzner