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
Deformations of halfsided modular inclusions and nonlocal chiral field theories
Gandalf Lechner, Charley Scotford open access link doi:10.1007/s0022002204324x
High energy bounds on wave operators
Henning Bostelmann, Daniela Cadamuro, Gandalf Lechner open access link J. Operator Theory 86:1(2021), 6191
Pages
Slides

Title: From the construction of integrable QFTs to the classification of unitary Rmatrices
Event: Mathematics of interacting QFT models
Date: July 5, 2019 
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: From the construction of integrable QFTs to the classification of unitary Rmatrices