Dr. Wojciech Dybalski

		Wojciech Dybalski TUM Junior Fellow (Emmy-Noether Group Leader) Zentrum Mathematik, M5 Technische Universität München Boltzmannstrasse 3 85748 Garching
		Büro: 03.12.058 Tel.: +49 89 289-17028 E-Mail: dybalskima.tum.de

Group

• Dr Maximilian Duell

Job opening

• Postdoctoral position

Research

• mathematical physics
• scattering theory
• non-relativistic QED
• algebraic quantum field theory
• conformal field theory
• spin systems

Current projects

• Infrared problems: Infraparticle vs infravacuum picture of the electron.
• Soft-photon theorems in various approaches to QED.
• Non-commutative recurrence as a tool in spectral theory.
• General criteria for asymptotic completeness in local relativistic QFT.
• Scattering theory and asymptotic observables for spin-waves.

Awards and Grants

• 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

• 2017-present   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

• 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

Teaching

Quantum Field Theory (Winter Semester 2018/2019) Joint course with Prof. M. Weiler. See the webpage of the course

• Lecture notes on mathematical foundations of QFT

Quantum Field Theory (Winter Semester 2017/2018) Joint course with Prof. M. Beneke.

Mathematik II für Physiker (Summer Semester 2017) see the LMU webpage 

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
• Slides of the first lecture
• 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)