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Gandalf Lechner

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School of Mathematics, Cardiff University

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**RESEARCH: **

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 (G**eometry, **A**lgebra, Mathematical **P**hysics, **T**opology) 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.