Gandalf Lechner
School of Mathematics, Cardiff University
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» my website at Cardiff University


My research focuses on applications of operator algebras to mathematical problems arising in quantum field theory. I am particularly interested in new approaches to the problem of rigorously constructing quantum field theory models. A novel line of research addresses this question via operator-algebraic deformations of quantum field theories, a topic also connected to non-commutative geometry and quantum field theory on non-commutative spaces.

A further research field of mine are unitary solutions of the Yang-Baxter equation, in particular their classification by subfactor methods and braid group characters and their application to integrable quantum field theories.

For more details about my research, you can have a look at my publications and talks.

TEACHING: I will teach Linear Algebra II and Mathematical Foundations of Quantum Physics in the autumn term 2020/21. Details on on/offline teaching activities will be communicated in due course. Previous teaching can be found here.

» GAPT (Geometry, Algebra, Mathematical Physics, Topology) research group: » Group Website » GAPT Seminar

» AQFTUK – LMS-funded network for algebraic quantum field theory in the UK.

» IoP Mathematical and Theoretical Physics group: » Group Website 

Upcoming events

» 16. Sept. 2020: LQP Colloquium First talk by Klaus Fredenhagen (Hamburg): “Local covariance and dynamics in algebraic quantum field theory”
» 12.-16. Oct. 2020: Online Lecture Series “An Introduction to Quantum Field Theory in Curved Spacetime” by Daniel Siemssen and Matteo Capoferri (an event of our AQFTUK network)
» 27 Jun.-3 Jul. 2021: Operator Algebras: Subfactors, K-theory, Conformal Field Theory (subject to funding approval)

Past events can be found here.