Research

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