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.dybalski
amu.edu.pl
NCN Project 'Interaction in QFT'
Overview
Selected works
Group
Dr. Paweł Duch (Postdoc).
Dr. Abhishek Goswami (Postdoc).
Bartosz Biadasiewicz (PhD student. Joint supervision with Prof. K. Pawałowski).
Azam Jahandideh (PhD student).
Janik Kruse (PhD student).
Research
mathematical physics
scattering theory
algebraic and constructive quantum field theory
lattice systems
conformal field theory
non-relativistic QED spin systems
Current projects
The problem of interaction in QFT.
Constructive aspects of non-linear sigma models
Stochastic quantization as a constructive tool in QFT
Soft-photon theorems in various approaches to QED.
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
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
^{}
CV
PROFESSIONAL EXPERIENCE
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
EDUCATION
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
*
Full CV
Mathematical Physics Seminar
*
Summer Semester 22
*
Winter Semester 21/22
*
Summer Semester 21
Past teaching at the TUM and LMU
Quantum Field Theory
(Winter Semester 2017/2018, 2018/2019, 2019/2020, 2020/2021) Joint courses with Prof. M. Beneke resp. Prof M. Weiler.
Lecture notes on mathematical foundations of QFT
Mathematik II für Physiker
(Summer Semester 2017)
Algebraic Quantum Field Theory
(Summer Semester 2017)
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
Non-relativistic QED
(Summer Semester 2016)
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.
Algebraic Quantum Field Theory
(Winter Semester 2014)
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)