Spectral Methods in Mathematical Physics

January 14 - April 26, 2019

Mathematical Physics aims at a mathematically rigorous understanding of complex phenomena in nature. The program is particularly concerned with quantum effects and, in particular, with the theory of Schroedinger’s equation. Both classical one-body Schroedinger operator theory (including topics like semi-classical analysis, eigenvalue inequalities, Anderson localization, non-selfadjoint operators) and many-body theory (including questions about ground state properties and dynamics in deterministic and random systems, and also the study of non-linear effective equations) are covered.

Our goal is to provide an update for the community on recent results, a discussion forum for future research goals and a starting point for new collaborations in the stimulating atmosphere of Institut Mittag-Leffler.

Participation in the program is by invitation only.

The program will start with a kick-off conference between January 14-18, for more information, see the conference webpage by clicking on the below link:

Kick-off conference: Spectral Methods in Mathematical Physics

The conference is sponsored by the Simons Foundation.

More program activities

For all seminar listings, press the “Seminars” button at the top of this page.


January 21 – 23, Nalini Anantharaman, University of Strasbourg

January 29 – 31, Bernard Helffer, Université de Nantes

February 26 – March 1, Mathieu Lewin, Université Paris Dauphine

March 4 – 6, Dimitri Yafaev, Université de Rennes 1

March 22 – 25, Christopher Sogge, Johns Hopkins University

March 26 – 29, Robert Seiringer, IST Austria

For details and times for the mini-courses, press the “Seminars” button at the top of this page.


February 11 – 15, Spectral theory & semiclassical analysis (click here for schedule(click here for abstracts)

March 18 – 22, Many-body theory, effective equations & PDE’s  Schedule  Abstracts

April 8 – 12, Many-body theory, random operators & matrices

Schedule  Abstracts


Satellite event:

March 11-16, there will be a workshop at Nordita in “Mathematical physics of anyons and topological states of matter”. Click here for information




  1. Microscopic Derivation of Time-dependent Point Interactions - R. Carlone M. Correggi M. Falconi M. Olivieri
  2. Spectral theory for one-body Stark operators - T. Adachi K. Itakura K. Ito E. Skibsted
  3. The energy of dilute Bose gases - Søren Fournais Jan Philip Solovej
  4. Random characteristics for Wigner matrices - Per von Soosten Simone Warzel
  5. Toeplitz band matrices with small random perturbations - Johannes Sjoestrand Martin Vogel
  6. Entanglement bounds in the XXZ quantum spin chain - Houssam Abdul-Rahman Christoph Fischbacher Günter Stolz
  7. Effects of Corners in Surface Superconductivity - Michele Correggi Emanuela L. Giacomelli