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Gandalf Lechner
School of Mathematics, Cardiff University
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From 1 September 2021, I will be working at Erlangen University.

 

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.


PhD position available (at Erlangen, from autumn 2021)


TEACHING: In autumn 2021/22 I am teaching Spectral Theory and a seminar on Braids and Knots. 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 

» DPG-Fachverband Theoretische und Mathematische Grundlagen der Physik: » Group Website 

 


Recent and upcoming events

» 17. March 2021: LQP Colloquium The second talk of the colloqium series will be given by Horacio Casini (Bariloche).
» 24.-30. Jul. 2022: Operator Algebras: Subfactors, K-theory, Conformal Field Theory 

Past events can be found here.