# Talks

## Conference talks

seminar talks: see below

*TBA*

Workshop on Geometric Methods in Physics, Bialowieza, July 2023*TBA*

Conference Where Mathematics Meets Quantum Physics, Rome, June 2023- Entanglement in operator-algebraic quantum field theory

Workshop on Functional Analysis and Quantum Information, ICMAT Madrid, March 2023 - Borchers Triples and their Deformations in QFT

58th Seminar Sophus Lie, Erlangen, March 2023 - Classification of unitary R-matrices by braid group characters

Workshop Skew Braces and the Yang-Baxter Equation, Oberwolfach, February 2023 - Quantum field theory without quantisation – from standard subspaces to observable algebras

16th Colloquium “Mathematics and Foundations of Quantum Theory”, Regensburg, February 2023 - Local and non-local half-sided modular inclusions

Conference “Energy conditions in quantum field theory”, Leipzig, September 2022 - Local and non-local CFTs on the line and subfactors of type III

Conference “Operator Algebras: Subfactors, K-theory, Conformal Field Theory”, Gregynog, August 2022 - Unitary solutions of the Yang-Baxter equation and von Neumann algebras

Conference “The algebra of the Yang-Baxter equation”, Będlewo conference center, July 2022 - Singular half-sided modular inclusions and deformation quantization

IWOTA Lancaster (virtual) , online, August 2021

**Slides** - Yang-Baxter endomorphisms

Subfactors and Applications , Oberwolfach, October 2019 - From the construction of integrable QFTs to the classification of unitary R-matrices

Mathematics of interacting QFT models , York, July 2019 - Deformations of quantum field theories, the construction of models, and T\overline{T}-deformations

T\overline{T} and other solvable deformations of quantum field theories , Simons Center for Geometry and Physics, Stony Brook, April 2019 - Braid group characters and localised endomorphisms

43rd LQP workshop “Foundations and Constructive Aspects of QFT” , Galieo Galilei Institute Firenze, February 2019 - Quantum-mechanical backflow and scattering

Algebraic Quantum Field Theory: Where Operator Algebra meets Microlocal Analysis , Cortona, Italy, June 2018 - Modular Localization and Constructive Algebraic QFT

Reflection Positivity , November 2017, Workshop at the Oberwolfach Research Center - All involutive solutions of the Yang-Baxter equation

Advances in Mathematics and Theoretical Physics , September 2017, Accademia Nazionale dei Lincei, Roma

**Slides** - Yang-Baxter Representations of the Infinite Symmetric Group

Modern Mathematics of Quantum Theory , September 2017, York University - Yang-Baxter Representations of the Infinite Symmetric Group

LQP Workshop 40 , June 2017, Leipzig University / MPI - Yang-Baxter Representations of the Infinite Symmetric Group

Subfactors Programme, Workshop III , June 2017, Newton Institute, Cambridge

## Past conference talks (2004-2016)

- Sigma models in algebraic QFT

Local Quantum Physics and Beyond: In Memoriam Rudolf Haag , Hamburg, September 2016 - SO(d,1)-invariant Yang-Baxter operators and a dS/CFT correspondence

Operator Algebras and Quantum Field Theory , Frascati, June 2016 - R-matrices and integrable QFTs

Lie Groups: Representations and Geometry , Erlangen, September 2015 - O(d,1)-symmetric R-matrices and QFT models

Operator Algebras and Quantum Physics , Sao Paulo, July 2015 - Integrable Quantum Field Theories from an Operator-Algebraic Perspective

Wales Mathematics Colloquium , Gregynog, May 2015 - Representations of Rieffel-deformed C*-algebras and deformations of inclusions

Workshop on Deformation Quantization: Between Formal and Strict , Oberwolfach, February 2015 - Modular Structure of Generalized Free Fields and Nets of Standard Subspaces

AQFT 2015 – Workshop on New Trends in Algebraic Quantum Field Theory , Frascati, February 2015 - Reflection Positivity and Operator Algebras in Quantum Field Theory

Oberwolfach Workshop: Reflection Positivity in Representation Theory, Stochastics, and Physics , Oberwolfach, December 2014 - The structure of the field algebra in non-commutative QFT and uniqueness of its KMS states

Quantum Mathematical Physics , Regensburg, September 2014 - Hyperbolic PDEs with non-commutative time

Frontiers in Fundamental Physics , Marseille, July 2014 - Operator algebras and the construction of models in quantum field theory

FJIM 2014 , Bilbao, July 2014 - Construction of quantum field theories by deformation techniques

DPG Spring Conference , Berlin, March 2014 - Non-Local Perturbations of Hyperbolic PDEs and QFT on Noncommutative Spacetimes

Mathematics and Quantum Physics , Accademia dei Lincei, Rome, July 2013 - Hyperbolic PDEs with star product potentials

GEOQUANT 2013 , ESI Vienna, August 2013 - Equivalence of two deformation schemes in QFT

Essays in low-dimensional quantum field theory , Universita Rom II Tor Vergata, October 2012 - Borchers triples and the construction of models in quantum field theory

Memorial Symposium Hans-Juergen Borchers “A Life for Relativistic Quantum Field Theory” , Goettingen, October 2012 - KMS states of deformed quantum field theories

Algebraic Quantum Field Theory and Local Symmetries , Hausdorff Research Institute for Mathematics, Sept.2012 - Thermal Equilibrium States for QFTs on Moyal Minkowski Spacetime

ICMP 2012 , Aalborg, August 2012 - Constructive algebraic quantum field theory at the example of integrable models

Mathematical Aspects of Quantum Field Theory and Quantum Statistical Mechanics , DESY, Hamburg, July 2012 - Quantum field theory on locally noncommutative spacetimes

DPG Spring Conference 2012 , Goettingen, February 2012 - Locally Noncommutative Spacetimes and Quantum Field Theory

Planckland , SISSA, Trieste, February 2012 - Algebraic quantum field theory: From structural analysis to the construction of models

Quantum Gravity Colloquium 6 , University of Erlangen, October 2011 - Oscillatory integrals for vector-valued symbols and locally noncommutative spacetimes

Modern Trends in Algebraic Quantum Field Theory , University of Pavia, September 2011 - Oscillatory integrals for vector-valued symbols and locally noncommutative spacetimes

Harmonic Analysis, Deformation Quantization, Noncommutative Geometry , Scalea, Italy, September 2011 - Multiplicative deformations of the Borchers-Uhlmann algebra

Local Quantum Physics workshop 28 , Goettingen, July 2011 - Local and covariant deformations of quantum field theories

Quantum Theory and Gravitation , Zurich, June 2011 - Multiplicative deformations of the Borchers-Uhlmann algebra

WIMCS workshop on quantum field theory , University Cardiff, April 2011 - Local and covariant deformations of observable algebras in QFT

Deformation Methods in Mathematics and Physics , Oberwolfach, September 2010 - Deformations of Quantum Field Theories

NITheP Workshop – Quantum Field Theory on Curved Spacetime , University of KwaZulu-Natal, Durban, August 2010 - Star products on Hilbert space

Bayrischzell workshop , Bayrischzell, May 2010 - Rieffel deformations and the construction of local nets

Conference of Noncommutative geometry EU network , Copenhagen, October 2009 - Deformations of Operator Algebras and the Construction of Quantum Field Theories

ICMP 2009, Operator Algebras Session , Prague, August 2009 - Deformations of Operator Algebras and the Construction of Quantum Field TheoriesMovie recording of talk

Algebraic Quantum Field Theory – The first 50 years , Goettingen, July 2009 - Star products and deformation procedures in quantization, non-commutative geometry and quantum field theory

Local Quantum Physics workshop 24 , Leipzig, June 2009 - Field Deformations vs Lagrangian Deformations in Noncommutative QFT

Workshop on Noncommutative Geometry and Quantum Field Theory , Chennai, December 2008 - Noncommutative Deformations of Quantum Field Theories

Mini-workshop on Noncommutative Geometry and Quantum Field Theory , Rome, October 2008 - Noncommutative Deformations of Wightman Quantum Field Theories

Operator Algebras and Conformal Field Theory, ESI program , Vienna, September 2008 - Noncommutative Deformations of Quantum Fields

Meeting of the Noncommutative Geometry EU Network , DIAS Dublin, June 2008 - Models of Wedge-Local Quantum Fields

DPG Conference , Freiburg, March 2008 - Wedge-local Quantum Fields, Non-Commutative Minkowski Space, and Interaction

4th Vienna Central European Seminar: Commutative and Noncommutative Quantum Fields , Vienna University, December 2007 - Wedge-Local Quantum Fields and Noncommutative Minkowski Space

Workshop on Noncommutative Geometry, , Bratislava, July 2007 - Wedge-Localized Quantum Fields and Noncommutative Minkowski Space

Local Quantum Physics Workshop 20 , Leipzig, June 2007 - Towards the Construction of the O(N)-Sigma models

ESI Programme “Mathematical and Physical Aspects of Perturbative Approaches to Quantum Field Theory” , Vienna, March 2007 - Construction of asymptotically complete interacting quantum field theories in two dimensions

ICMP 2006, Young Researchers Symposium , Rio de Janeiro, August 2006 - Construction of Asymptotically Complete Interacting Quantum Field Theories in Two Dimensions

Topics in Mathematical Physics , Sao Paulo, August 2006 - Constructing local nets of von Neumann algebras from their S-matrices

Brazilian Operator Algebras Conference , Florianopolis, July 2006 - The inverse scattering problem for factorizing S-matrices

DESY Theory Colloquium , Hamburg, May 2006 - Constructing Local Nets from an S-matrix

South Eastern Analysis Meeting (SEAM XXII) , Gainesville, USA, March 2006 - Constructing Integrable Models in Algebraic Quantum Field Theory

Local Quantum Physics Workshop 17 , Goettingen, December 2005 - Geometric Modular Action in Quantum Field Theory and Quantum Field Theories from Geometric Modular Action

Oberwolfach Meeting “Noncommutative Geometry and Quantum Field Theory” , Oberwolfach, October 2005 - Nuclearity Properties of Theories with a Factorizing S-Matrix

Conference Rigorous Quantum Field Theory in honour of Jacques Bros , Saclay, July 2004 - Polarization-Free Quantum Fields and Interaction

DPG Conference, Session “Noncommutative Geometry and Quantum Field Theory” , Ulm, March 2004

## Seminar talks

- Modular Structure and Inclusions of Twisted Araki-Woods Algebras

Berkeley Probabilistic Operator Algebra Seminar, online, January 2023

**Slides** - Deformations of Araki-Woods Algebras

Deformation Quantization Seminar, Würzburg, January 2023 - A review of algebraic constructive quantum field theory

Quantum Gravity Seminar, FAU, June 2022 - Unitary braidings

Emmy Noether Seminar, FAU, May 2022 - Integrable quantum field theories – Inverse scattering, local von Neumann algebras, asymptotic completeness

IFS seminar Gent, April 2022 - Half-sided modular inclusions and the algebra at infinity

GEP Seminar, Leipzig University, January 2022 - Constructions of conformal QFTs from Borchers triples: non-local examples

Mathematical Physics Seminar, Regensburg University, December 2021 - Singular half-sided modular inclusions and the algebra at infinity

Deformation Quantization Seminar, Würzburg University, online, July 2021 - Yang-Baxter representations of the infinite braid group and subfactors

UK Virtual Operator Algebras Seminar , online, October 2020 - An operator-algebraic perspective on unitary R-matrices

Mathematical Physics Seminar , University of York, November 2019 - R-matrices and localised endomorphisms

Mathematical Physics Seminar , Nottingham University, March 2019 - Quantum-mechanical backflow and scattering

Mathematical Physics Seminar , Northumbria University, Newcastle, March 2019 - The Yang-Baxter equation and extremal characters of the infinite braid group

Mathematical Physics Seminar, Leipzig University , December 2018 - Algebraic Quantum Field Theory

GAPT Seminar, Cardiff University , March 2018 - Yang-Baxter characters of the infinite symmetric group and subfactors

Deformation Quantization Seminar, Universität Würzburg , March 2018 - All involutive solutions of the Yang-Baxter equation

Séminaire de physique mathématique, Institut Camille Jordan, Lyon , March 2018 - Quantum backflow and scattering theory

Mathematical Physics Seminar, Imperial College London , May 2017 - Quantum Backflow and Scattering

Mathematical Physics Seminar, University of York , February 2017 - Integrable QFTs and von Neumann algebras

Theoretical Physics Seminar, King’s College, London , February 2017 - Representations of Rieffel-deformed C*-algebras and deformations of Borchers triples

Analysis Seminar, Glasgow University , January 2017

## Past seminar talks (2004-2016)

- Quantum-Mechanical Backflow and Scattering

Physics Seminar, Cardiff University , November 2016 - Modular Nuclearity

Math. Phys. Seminar, York University , March 2016 - The inverse scattering problem for integrable QFTs in 2d and its operator-algebraic solution

QFT Seminar, Oxford University , February 2016 - Constructing QFTs with modular theory and R-matrices

Graduiertenkolleg Mathematik+Physik, Universität Göttingen , February 2016 - Singular values of Hardy space operators and relative commutants of von Neumann algebras

Geometry and Analysis Seminar, Queen Mary, London , December 2015 - Wave Equations with Noncommutative Time

Mathematical Physics Seminar, University of York , June 2015 - Noncommutative Wave Equations

Mathematical Physics Seminar, Bristol University , May 2015 - KMS functionals and KMS states for algebras of deformed quantum fields

Deformation Quantization Seminar, Uni Würzburg , November 2013 - Equivalence of two deformation schemes in QFT

Essays in low-dimensional quantum field theory , Universita Rom II Tor Vergata, October 2012 - Deformations of Quantum Field Theories

Leipzig University , June 2010 - Deformation techniques in quantization and quantum field theory

Hamburg University , June 2010 - Deformations of quantum field theories

York University , June 2010 - Warped Convolutions und Rieffel-Deformationen

Freiburg University , February 2010 - Rieffel-Deformationen und die Konstruktion von wechselwirkenden Quantenfeldtheorien

Freiburg University , July 2009 - Nicht-kommutative Deformationen von Quantenfeldtheorien

LMU Munich , May 2008 - Quantum Fields on the Non-Commutative Minkowski Space : Scattering, Thermal Equilibrium and Causality

Laboratoire de Physique Theorique , Orsay, March 2008 - The inverse scattering problem for quantum field theories with factorizing S-matricesSlides

Ecole Polytechnique , Palaiseau, March 2008 - Modular Theory and Quantum Field Theory

Australian National University , Canberra, February 2008 - Wedge-Local Quantum Fields in Integrable and Nonlocal Models

Universita Tor Vergata , Rome, January 2008 - The inverse scattering problem for Quantum Field Theories with Factorizing S-Matrices

Math. Phys. Seminar, ETH Zurich , October 2007 - Construction of local nets from a wedge algebra

Operator Algebras Seminar, University of Tokyo , October 2007 - Local nets of von Neumann algebras and modular theory

Operator Algebras Seminar, University of Tokyo , October 2007 - Construction of Quantum Field Theories with Factorizing S-Matrices, I

ESI Seminar , Vienna, November 2006 - The inverse scattering problem for factorizing S-matrices

Seminario do DF-UFJF , Juiz de Fora, Brazil, August 2006 - The inverse scattering problem for factorizing S-matrices

DESY Theory Colloquium , Hamburg, May 2006Top