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Gandalf Lechner

Senior Lecturer (Associate Professor)

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: **In autumn 2019/20, I am teaching “Foundations of Mathematics I” (MA1005) and “Mathematical Foundations of Quantum Physics” (MA4014). Previous teaching can be found here.

**GAPT (G**eometry, **A**lgebra, Mathematical **P**hysics, **T**opology) research group: » Group Website » GAPT Seminar

IoP Mathematical and Theoretical Physics group: » Group Website