Simone Warzel

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Simone Warzel

Simone Warzel (* 1973 ) is a German mathematician who deals with mathematical physics .

Professional background

Warzel studied in Erlangen and Cambridge and received his doctorate in 2001 with Hajo Leschke at the Friedrich-Alexander University Erlangen-Nürnberg (On Lifshits Tails in Magnetic Fields). From 2003 to 2006 she was a post-doctoral student at Princeton University , where she became an assistant professor in 2006. She has been a professor at the Technical University of Munich since 2008 and is also a visiting researcher at Princeton.

She deals with disordered quantum systems, many-body systems and statistical mechanics . She published a lot with Michael Aizenman . In 2006, together with Aizenman and Robert Sims, she proved the stability of continuous spectra of the Laplace operator on random tree graphs with weak perturbations. Together with colleagues in 2008, she proved the existence of the Scott correction of the binding energy of heavy atoms in a (pseudo-) relativistic description. In addition, she investigated the Anderson localization or its non-existence (existence of extended states) in various models of solid-state physics, for example with Aizenman 2011 at the mobility edge on the Bethe grid , where extended states arise from resonances of the impurities.

Awards

From 2007 to 2010 she was a Sloan Research Fellow . In 2013 she received the von Neumann Fellowship Award from the Institute for Advanced Study and in 2009 the Young Scientist Award from IUPAP . For 2018 she was invited to speak at the International Congress of Mathematicians (ICM) in Rio.

Fonts (selection)

  • Michael Aizenman , Simone Warzel: Random Operators: Disorder Effects on Quantum Spectra and Dynamics AMS 2015.
  • Surprises in the phase diagram of the Anderson model on the Bethe lattice, pp. 239-253 in: XVIIth International Congress on Mathematical Physics Ed .: A. Jensen, World Scientific 2013.
  • M. Aizenman, S. Warzel: Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs, J. Math. Phys. 53, 095205 (2012)
  • M. Aizenman, S. Warzel: Extended states in a Lifshitz tail regime for random Schrödinger operators on trees, Phys. Rev. Lett. 106: 136804 (2011). Arxiv
  • M. Aizenman, S. Warzel: Disorder-induced delocalization on tree graphs. In: Mathematical Results in Quantum Mechanics, Ed. P. Exner, 107-109, World Scientific 2011.
  • M. Aizenman, S. Warzel: Complete dynamical localization in disordered quantum multi-particle systems. XVIth International Congress on Mathematical Physics, 556-565, World Sci. 2010.
  • Heinz Siedentop , R. Frank, S. Warzel: The energy of heavy atoms according to Brown and Ravenhall: the Scott correction. Doc. Math. 14: 463-516 (2009).
  • M. Aizenman, S. Warzel: Localization Bounds for Multiparticle Systems, Comm. Math. Phys. 290: 903-934 (2009)
  • H. Siedentop, R. Frank, S. Warzel: The energy of heavy atoms according to Brown and Ravenhall: the Scott correction, Comm. Math. Phys. 278: 549-566 (2008).
  • Rupert L. Frank, H. Siedentop, S. Warzel, The ground state energy of heavy atoms: relativistic lowering of the leading energy correction, Commun. Math. Phys. 278: 549-566 (2008)
  • M. Aizenman, B. Sims, S. Warzel, Stability of the absolutely continuous spectrum of random Schrödinger operators on tree graphs, Probab. Theory Relat. Fields 136: 363-394 (2006)
  • H. Leschke, S. Warzel, Quantum-classical transitions in Lifshits tails with magnetic fields, Phys. Rev. Lett. 92: 086402: 1-4 (2004)
  • H. Leschke, P. Müller, S. Warzel, A survey of rigorous results on random Schrödinger operators for amorphous solids, Markov Proc. Relat. Fields 9: 729-760 (2003)
  • G. Raikov, S.Warzel, Quasi-classical versus non-classical spectral asymptotics for magnetic Schrödinger operators with decreasing electric potentials, Rev. Math. Phys. 14: 1051-1072 (2002)
  • G. Raikov, S.Warzel, Spectral asymptotics for magnetic Schrödinger operators with rapidly decreasing electric potentials, CR Acad. Sci. Paris Ser. I, 335: 683-688 (2002)
  • T. Hupfer, H. Leschke, P. Müller, S. Warzel, The absolute continuity of the integrated density of states for magnetic Schrödinger operators with certain unbounded random potentials, Comm. Math. Phys. 221: 229-254 (2001)

Web links

Individual evidence

  1. ↑ Simone Warzel in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Warzel, Simone
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH 1973