Gandalf Lechner
About
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 operatoralgebraic deformations of quantum field theories, a topic also connected to noncommutative geometry and quantum field theory on noncommutative spaces. Steve Summers has written a nice overview over the 2009 status of “constructive algebraic quantum field theory” here: math.ufl.edu/~sjs/construction.html.
Papers
YangBaxter representations of the infinite symmetric group
Gandalf Lechner, Ulrich Pennig, Simon Wood open access link
SO(d,1)invariant YangBaxter operators and the dS/CFT correspondence
Stefan Hollands, Gandalf Lechner open access link doi:10.1007/s0022001729426
Modular nuclearity: A generally covariant perspective
Gandalf Lechner, Ko Sanders open access link Axioms 2016, 5(1), 5
Pages
Slides

Title: Deformations of Operator Algebras and the Construction of Quantum Field Theories
Event: Algebraic Quantum Field Theory – the first 50 Years
Date: July 30, 2009 
Title: YangBaxter Representations of the Infinite Symmetric Group
Event: 40th LQP Workshop "Foundations and Constructive Aspects of QFT"
Date: June 24, 2017 
Title: Sigma Models in Algebraic Quantum Field Theory
Event: Local Quantum Physics and beyond  In memoriam Rudolf Haag
Date: September 27, 2016 
Title: Localization in Nets of Standard Spaces
Event: Algebraic Quantum Field Theory  Its status and its future
Date: May 21, 2014

Title: Deformations of Operator Algebras and the Construction of Quantum Field Theories