Markus Lange


 

 

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  Adresse:

   Mathematics Area
  Scuola Internazionale Superiore di Studi Avanzati

   via Bonomea, 265
   34136 Trieste
   ITALY


Research interests

  • Groundstates and spectral properties of non-relativistic QED and related models
  • Spectral Theory of Schroedinger Operators
  • Many body quantum mechanics

Publications

Ground states and spectral properties in quantum field theories
doi: 10.22032/dbt.35196, PhD-Thesis

On Asymptotic Expansions in Spin Boson Models
Annales Henri Poincaré, February 2018, Volume 19, Issue 2, pp 515–564
(joint work with Gerhard Bräunlich and David Hasler)

Renormalization analysis for degenerate ground states
Journal of Functional Analysis, Volume 275, Issue 1, 1 July 2018, Pages 103-148
(joint work with David Hasler)

Exactness of linear response in the quantum Hall effect
Annales Henri Poincaré, January 2021, Volume 22, Issue 4, pp 1113--1132
(joint work with Sven Bachmann, Wojciech De Roeck and Martin Fraas)


Quantum Systems at The Brink. Existence and Decay Rates of Bound States at Thresholds; Helium (arXiv)
(joint work with Dirk Hundertmark and Michal Jex)

Quantum Systems at The Brink. Existence and Decay Rates of Bound States at Thresholds; Atoms (arXiv)
(joint work with Dirk Hundertmark and Michal Jex)

Quantum Systems at The Brink. Properties of Atomic Bound States at The Ionization Threshold (arXiv)
(joint work with Dirk Hundertmark and Michal Jex)

Trotter product formulae for *-automorphisms of quantum lattice systems (arXiv)
(joint work with Sven Bachmann)

Quantum Systems at The Brink. Properties of Atomic Bound States at The Ionization Threshold (arXiv)
(joint work with Dirk Hundertmark and Michal Jex)

CV

  Current position
  • Research Fellow, Mathematics Area, Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy
  Former scientific positions
  • Postdoctoral Fellow, Deptartment of Mathematics, University of British Columbia, Canada
  • Research associate, Institute for Analysis, Karlsruhe Institute of Technologie, Germany
  • Research assistant, Institute for Mathematics, Friedrich-Schiller-University Jena, Germany
  Former administrative positions
  • substitute representative of PhD-students on the institutional board of the Institute of mathematics, Friedrich-Schiller-University Jena
  • elected member of the doctorate council DR.FSU of the Friedrich-Schiller-University Jena
  • speaker for the PhD-students in mathematics which are members of the GRK1523 'Quantum and Gravitational Fields'
  Education
  • PhD in Mathematics, Institute of Mathematics, Friedrich-Schiller-University Jena
  • Master of Science in Mathematics with minor field Physics, Westfaelische Wilhelms-University Muenster
  • Bachelor of Science in Mathematics with minor field Physics, Westfaelische Wilhelms-University Muenster

(Co)-Organised scientific meetings


Teaching activities of the last 5 years

  • Winter-Term 2020: Instructor for 'Math 307 - Applied Linear Algebra'
  • Spring-Term 2020: Instructor for 'Math 307 - Applied Linear Algebra'
  • Winter-Term 2019: Instructor for ' Math 221 - Linear algebra'
  • Spring-Term 2019: Teaching associate for 'Analysis 2'
  • Winter-Term 2018: Teaching associate for 'Analysis 1'
  • Spring-Term 2018: Teaching associate for 'Analysis for Teachers'
  • Winter-Term 2017: Teaching associate for 'Classical methods of partial differential equations'
  • Spring-Term 2017: Teaching associate for 'Analysis 2 for Teachers'