Seiringer Group

Mathematical Physics

The Seiringer group develops new mathematical tools for the rigorous analysis of many-particle systems in quantum mechanics, with a special focus on exotic phenomena in quantum gases, like Bose-Einstein condensation and superfluidity.

A basic problem in statistical mechanics is to understand how the same equations on a microscopic level lead to a variety of very different manifestations on a macroscopic level. Due to the intrinsic mathematical complexity of this problem, one typically has to resort to perturbation theory or other uncontrolled approximations, whose justification remains open. It therefore remains a challenge to derive non-perturbative results and to obtain precise conditions under which the various approximations can or cannot be justified. For this purpose it is necessary to develop new mathematical techniques and methods. These new methods lead to different points of view and thus increase their understanding of physical systems. Concrete problems under current investigation include the spinwave approximation in magnetism, the validity of the Bogoliubov approximation for the excitation spectrum of dilute Bose gases, and pattern formation in Ising models with competing interactions.


On this site:


Team


Current Projects

Stability of many-body systems with point interactions | The Heisenberg ferromagnet at low temperature and the spin-wave approximation | Excitation spectrum and superfluidity for weakly interacting Bose gases


Publications

Roos B, Seiringer R. Two-particle bound states at interfaces and corners. Journal of Functional Analysis. 282(12), 109455. View

Feliciangeli D, Rademacher SAE, Seiringer R. 2022. The effective mass problem for the Landau-Pekar equations. Journal of Physics A: Mathematical and Theoretical. 55(1), 015201. View

Mysliwy K, Seiringer R. 2022. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 186(1), 5. View

Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. 2021. Emergence of anyons on the two-sphere in molecular impurities. Atoms. 9(4), 106. View

Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré. View

View All Publications

ReX-Link: Robert Seiringer


Career

since 2013 Professor, Institute of Science and Technology Austria (ISTA)
2010 – 2013 Associate Professor, McGill University, Montreal, Canada
2003 – 2010 Assistant Professor, Princeton University, USA
2001 – 2003 Postdoc, Princeton University, USA
2000 – 2001 Assistant, University of Vienna, Austria
2000 PhD, University of Vienna, Austria


Selected Distinctions

2017 Corresponding Member, Austrian Academy of Sciences (ÖAW)
2016 ERC Advanced Grant
2012 – 2017 William Dawson Scholarship
2012 – 2014 NSERC E.W.R. Steacie Memorial Fellowship
2009 – 2010 U.S. National Science Foundation CAREER Grant
2009 Henri Poincaré Prize of the International Association of Mathematical Physics
2004 – 2006 Alfred P. Sloan Fellow
2001 – 2003 Erwin Schrödinger Fellow


Additional Information

Download CV
Open Seiringer group website
Go to Mathphys Analysis Seminar website



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