Prof. UAM dr hab. Wojciech Dybalski

		Wojciech Dybalski Associate Professor PI of NCN Grant `Sonata Bis' Faculty of Mathematics and Computer Science Adam Mickiewicz University ul. Uniwersytetu Poznańskiego 4 61-614 Poznań Poland
		Room: B1-6 E-Mail: wojciech.dybalskiamu.edu.pl

NCN Project 'Interaction in QFT'

• Overview
• Completed works

Group

• Bartosz Biadasiewicz (PhD student. Joint supervision with Prof. K. Pawałowski).
• Azam Jahandideh (PhD student).
• Janik Kruse (PhD student).

Former Members

• Dr. Paweł Duch (EPFL)

Research

• mathematical physics
• constructive quantum field theory
• algebraic quantum field theory
• lattice systems
• conformal field theory
• non-relativistic QED

Current projects

• The problem of interaction in QFT.
• Constructive aspects of non-linear sigma models and φ⁴₃
• Stochastic quantization as a constructive tool in QFT
• Scattering theory and infrared problems.

Awards and Grants

• Sonata Bis grant of the NCN (2020)
• AHP Prize for the most remarkable article in Annales Henri Poincare in 2016:
  Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory in gapped quantum spin systems  ArXiv:1412.2970 
  jointly with S. Bachmann and P. Naaijkens.
• Emmy Noether grant of the DFG (2013)

Publications

• List of Publications
• ArXiv 

Organized events

• Poznań Spring School in Mathematical Physics, Adam Mickiewicz University in Poznań, 07.04.–16.04.2025
• 47th LQP Workshop "Foundations and Constructive Aspects of QFT", Adam Mickiewicz University in Poznań, 21–22.09.2023
• Workshop "Macroscopic Limits of Quantum Systems", TU Munich, March/April 2017
• 38th LQP Workshop "Foundations and Constructive Aspects of QFT", TU Munich, May 2016
• Workshop "Quantum Field Theory: Infrared problems and constructive aspects", TU Munich, October 2015
• Workshop "Algebraic Quantum Field Theory and Local Symmetries", Bonn, September 2012  
• Colloquia on Mathematics and Foundations of Quantum Theory

  • 20th Colloquium (April 8, 2025 – as part of the Poznań Spring School in Mathematical Physics)
  • 19th Colloquium (October 1, 2024 – Univ. Tübingen)
  • 18th Colloquium (February 9, 2024 – LMU Munich)
  • 17th Colloquium (September 21, 2023 – as part of the 47th LQP Workshop in Poznań)
  • 16th Colloquium (March 31, 2023 – Univ. Regensburg)
  • 15th Colloquium (July 14, 2022 – Univ. Tübingen, online)
  • 14th Colloquium (February 4, 2022 – LMU Munich, online)
  • 13th Colloquium (July 2, 2021 – AMU Poznań, online)

CV

• 2020-present   Group Leader (Sonata Bis Program), Adam Mickiewicz University in Poznan
• 2017-2020      Group Leader (Emmy Noether Program), Technical University of Munich
• 2017-2017      Substitute Professor at the Ludwig-Maximilian-University of Munich
• 2014-2017      Group Leader (Emmy Noether Program), Technical University of Munich
• 2013-2014      Postdoc, ETH Zurich
• 2012-2013      DFG Fellow, University of Paris-Sud
• 2012-2012      Group Leader, HIM Bonn
• 2012-2012      DFG Fellow, University of Paris-Sud
• 2011-2012      Postdoc, University of Aarhus
• 2009-2011      Postdoc, Technical University of Munich

• 2018-2019      Habilitation in Mathematics, Technical University of Munich
• 2004-2009      Ph.D. in Physics, University of Göttingen
• 2003-2004      Graduate studies, NRC Ottawa/University of Ottawa
• 1998-2003      M.Sc. in Physics, University of Warsaw

Mathematical Physics Seminar

• Winter Semester 23/24
• Summer Semester 23
• Winter Semester 22/23
• Summer Semester 22
• Winter Semester 21/22
• Summer Semester 21

Past teaching at the TUM and LMU

• Lecture notes on mathematical foundations of QFT

• Special course for M.Sc. and Ph.D. students
• 2+2 hours per week, Monday 12:15-13:45 (Room: Theresienstraße 39, B041), Thursday 16:15-17:45 (Room: Theresienstraße 39, B045)
• First class: Monday 24.04.2017 at 12:15 in B041
• 6 ECTS points.
• Content:
• Algebraic quantum mechanics
• Free field theory and interacting models
• Haag-Kastler postulates of QFT
• Scattering theory
• Theory of superselection sectors
• Crash course in functional analysis, version of 04.05.2017
• Lecture notes, version of 18.07.2017
• Homework Sheet 1, Solutions to Homework Sheet 1
• Homework Sheet 2, Solutions to Homework Sheet 2
• Homework Sheet 3, Solutions to Homework Sheet 3
• Homework Sheet 4, Solutions to Homework Sheet 4
• Homework Sheet 5

• The course will be held on Thursdays, 14:15-15:45 in room 03.12.020, at Zentrum Mathematik TUM, Garching.
• Lecture notes, version of 14.07.2016
• Content:
  • Quantisation of charged particles interacting with the electromagnetic field.
  • Self adjointness of Hamiltonians of non-relativistic QED.
  • Energy-momentum operators and their spectrum.
  • Scattering states and the infrared problem.
  • The problem of asymptotic completeness.
• 2+0 hours per week,
• Intended audience: Master Mathematik, Master Physik, Top-Math, TMP, interested Ph.D. students and postdocs.
• Recommended prerequisites: Basic quantum mechanics, analysis and linear algebra.
• 3 ECTS, oral examination, typed lecture notes will be provided.
• Recommended reading: H. Spohn: Dynamics of charged particles and their radiation field. Cambridge University Press, 2004.

• Special course for M.Sc. and Ph.D. students
• 2+2 hours per week, Monday 16:15-17:45 (Raum: Schellingstr. 3 (S) Vg. - S 242), Thursday 16:15-17:45 (Raum: Geschw.-Scholl-Pl.1 (B) 006)