Fachbereich Mathematik

Summer School Series on Current Topics on Mathematical Physics

2018 Toronto, Fields (Canada)

Organizers:

Christian Hainzl: University of Tübingen, Tübingen, Germany
Robert Seiringer: Institute of Science and Technology, Klosterneuburg, Austria

Speakers:

Roland Bauerschmidt, University of Cambridge, UK: Topics in classical spin systems.
David Damanik, Rice University, USA: Some recent developments in the spectral theory of ergodic 
Schrödinger operators.
Jeremy Quastel, University of Toronto, Canada: Fluctuations in the KPZ universality class.
Laure Saint-Raymond, ENS Lyon, France: Quasi-resonant forcing of internal waves: when lab 
experiments
meet spectral theory.

 

2017 Zurich, University of Zurich (Switzerland)

Organizers:

Gian Michele Graf: Institut für Theoretische Physik, ETH Zurich, Switzerland
Christian Hainzl: University of Tübingen, Tübingen, Germany
Benjamin Schlein: University of Zurich, Zurich, Switzerland

Speakers:

Alessandro Giuliani, Roma Tre University, Italy: Perturbed 2D Ising models at the critical point.
Antti Knowles, University of Geneva, Switzerland: Local laws and universality in random matrix 
theory.
Mathieu Lewin, CNRS, Paris: An introduction to critical point theory, with applications in 
quantum mechanics.
Robert Seiringer, IST Austria: The polaron.

 

2015 Viña del Mar, USM (Chile)

Organizers:

Christian Hainzl: University of Tübingen, Tübingen, Germany
Mathieu Lewin: University of Paris Dauphine, Paris, France
Robert Seiringer: Institute of Science and Technology, Klosterneuburg, Austria 
Edgardo Stockmeyer: Pontifical Catholic University of Chile, Santiago, Chile
Jinggang Tan: Federico Santa María Technical University, Viña del Mar, Chile
Rafael Tiedra: Pontifical Catholic University of Chile, Santiago, Chile

Speakers:

Barry Simon, Caltech: Szego Asymptotics for OPs and for Chebushev Polynomials. (Lecture 1, 
Lecture 2, Lecture 3, Lecture 4).
Gunther Uhlmann, University of Washington: Inverse Problems: Visibility and Invisibility. 
(Lecture 1, Lecture 2, Lecture 3, Lecture 4).
Simone Warzel, TUM München: Spectral properties of the quantum random energy model. 
(Lectures 1-4).
Jakob Yngvason, University of Vienna: Quantum vortices. (Lectures 1-4, related lecture notes).

 

2013 Marseille, CIRM (France)

Organizers:

Maria J. Esteban: CNRS, Paris, France
Mathieu Lewin: CNRS, Paris, France
Robert Seiringer: Institute of Science and Technology, Klosterneuburg, Austria  

Speakers:

Eric Carlen, Rutgers, New Brunswick, USA: Mathematical Problems in Kinetic Theory.
Rupert Frank, Caltech, Pasadena, USA: Ground states of non-linear scalar field equations.
Christian Hainzl, Tübingen, Germany: The BCS-functional of superconductivity (superfluidity).
Jens Marklof, Bristol, UK: From Newton's laws to macroscopic transport equations: 
The Boltzmann-Grad limit of the Lorentz gas.
Daniel Ueltschi, Warwick, UK: Quantum spin systems and phase transitions.
 
2011 Vienna, ESI (Austria)

Organizers:

Christian Hainzl: University of Tübingen, Tübingen, Germany
Robert Seiringer: McGill University, Montreal, Canada 

Speakers:

Rafael Benguria, PUC, Santiago: Isoperimetric inequalities for eigenvalues of the Laplace 
and Schroedinger operator. 
Soeren Fournais, University of Aarhus: Semiclassics with self-generated fields.
Jürg Fröhlich,  ETH, Zürich: States of matter and phase transitions accompanied by continuous 
symmetry breaking. Lecture Notes: Part 1 Part 2
Mathieu Lewin, Cergy-Pontoise: Geometrics methods for nonlinear many-body quantum 
systems 
Vieri Mastropietro, Universita di Roma: Universality and critical behavior in Luttinger and 
Dirac liquids 
Fabio Toninelli, ENS Lyon: Zero-temperature dynamics of the three-dimensional Ising 
model and dimer covering fluctuations 
Wilhelm Schlag, University of Chicago: Invariant manifolds and dispersive Hamiltonian 
Equations
 
2010 Aarhus, AU (Denmark)

Organizers:

Søren Fournais: Aarhus University, Aarhus, Denmark
Christian Hainzl: University of Alabama, Birmingham, USA
Jacob Schach Møller: Aarhus University, Aarhus, Denmark
Robert Seiringer: Princeton University, Princeton, USA

Speakers:

Volker Bach, Mainz: Mathematical Results on the Hubbard Model in Condensed Matter Physics.
Tobias Colding, MIT: Mean Curvature Flow.
Mihalis Dafermos, Cambridge: The Black Hole Stability Problem.
Benjamin Schlein, Bonn: Spectral Properties of Wigner Random Matrices.
Sylvia Serfaty, Paris and Courant Institute: Vortices in the Ginzburg-Landau Model of Superconductivity.
Jan Philip Solovej, Copenhagen: Bogolubov Theory and the Bose Gas.

2008 Vienna, ESI (Austria)

Organizers:

Christian Hainzl: University of Alabama, Birmingham, USA
Robert Seiringer: Princeton University, Princeton, USA 

Speakers:

László Erdös, LMU Munich: Quantum Brownian motion as a scaling limit of random
Schrödinger evolution.
Vojkan Jaksic, McGill University: Entropic fluctuations in statistical mechanics.
Michael Loss, Georgia Tech: A dynamical approach to some problems in the calculus of variations.
Bruno Nachtergaele, UC Davis: Quantum Spin Dynamics and Applications to Quantum
Information and Computation.
Igor Rodnianski, Princeton: Evolution problem in General Relativity.
Manfred Salmhofer, Leipzig: Renormalization group methods for quantum many-body systems.
Jeffrey Schenker, Michigan State: On random Schrödinger operators.
Herbert Spohn, TU Munich: Kinetic theory of weakly interacting quantum fluids.