# 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:

- Physics:
- algebraic quantum field theory
- renormalization
- quantum field theory on curved spacetimes
- Batalin-Vilkovisky formalism
- quantum gravity
- noncommutative geometry

- Mathematics:
- operator algebras
- functional analysis
- infinite dimensional calculus and differential geometry
- infinite dimensional Lie groups
- homological methods in physics
- noncommutative geometry

© 2011 Katarzyna Rejzner