Benjamin Schlein
Benjamin Schlein (born May 28, 1975 in Lugano ) is an Italian-American mathematician who studies mathematical physics.
Schlein studied theoretical physics at the ETH Zurich with a diploma in 1999 and received his doctorate there in 2002 with Jürg Fröhlich . As a post-doctoral student , he was a Courant Instructor at the Courant Institute in New York and at Stanford University and Harvard University . In 2006 he became an assistant professor at the University of California, Davis , was at the Ludwig Maximilians University in Munich in 2007/08 and lecturer at the University of Cambridge from 2007 to 2010 . In 2010 he became Hausdorff Professor at the University of Bonn and in 2014 Professor at the University of Zurich .
Among other things, it deals with:
- Derivation of evolution equations from microscopic quantum mechanical many-particle theory, for example the Gross-Pitaevskii equation in Bose-Einstein condensates and the non-linear Hartree equation in the molecular field approximation .
- Random matrices , especially Wigner matrices, for which he demonstrated universality in 2010 with colleagues like Terence Tao . He also derived the validity of Wigner's semicircle law for the distribution of eigenvalues for the smallest scales.
- Lieb-Robinson barriers for the time evolution of anharmonic grid systems. They ensure the locality of the dynamics by providing upper bounds for the speed of information propagation in the system.
- Proof of asymptotic completeness in the scattering theory of nonrelativistic charged particles with photons (Compton scattering).
He is invited speaker at the International Congress of Mathematicians 2018 in Rio de Janeiro (Bogoliubov excitation spectrum for Bose-Einstein condensates). In 2006 he received the Sofja Kovalevskaja Prize and in 2009 an ERC Starting Grant and the IUPAP Prize for Mathematical Physics for young scientists.
He has Italian and US citizenship. The politician Elly Schlein (2014–19 Member of the European Parliament) is his sister.
Fonts (selection)
- with Laszlo Erdös , Horng-Tzer Yau : Wegner estimate and level repulsion for Wigner random matrices. In: International Mathematics Research Notices. Volume 2010, No. 3, 2010, pp. 436-479, doi : 10.1093 / imrn / rnp136 .
- with Laszlo Erdös, Horng-Tzer Yau: Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate. In: Annals of Mathematics . Volume 172, No. 1, 2010, pp. 291-370, JSTOR 20752271 .
- with Laszlo Erdös, José Ramírez, Terence Tao , Van H. Vu , Horng-Tzer Yau: Bulk universality for Wigner hermitian matrices with subexponential decay. In: Mathematical Research Letters. Volume 17, No. 4, 2010, pp. 667-674, doi : 10.4310 / MRL.2010.v17.n4.a7 .
- with Igor Rodnianski : Quantum fluctuations and rate of convergence towards mean field dynamics. In: Communications in Mathematical Physics . Volume 291, No. 1, 2009, pp. 31-61, doi : 10.1007 / s00220-009-0867-4 .
- with Bruno Nachtergaele , Hillel Raz, Robert Sims: Lieb-robinson bounds for harmonic and anharmonic lattice systems. In: Communications in Mathematical Physics. Volume 286, No. 3, 2009, pp. 1073-1098, doi : 10.1007 / s00220-008-0630-2 .
- with Laszlo Erdös, Horng-Tzer Yau: Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential. In: Journal of the American Mathematical Society . Volume 22, No. 4, 2009, pp. 1099-1156, doi : 10.1090 / S0894-0347-09-00635-3 .
- with Laszlo Erdös, Horng-Tzer Yau: Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems. In: Inventiones Mathematicae . Volume 167, No. 3, 2007, pp. 515-614, doi : 10.1007 / s00222-006-0022-1 .
- with Jürg Fröhlich , Marcel Griesemer: Asymptotic completeness for Compton scattering. In: Communications in Mathematical Physics. Volume 252, No. 1/3, 2004, pp. 415-476, doi : 10.1007 / s00220-004-1180-x .
Web links
Individual evidence
- ↑ Benjamin Schlein in the Mathematics Genealogy Project (English)
- ↑ Hermitian matrices, in which the entries above the main diagonal are independent random variables with zero mean and equal variance.
- ↑ Arxiv
personal data | |
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SURNAME | Schlein, Benjamin |
BRIEF DESCRIPTION | Italian-American mathematician |
DATE OF BIRTH | May 28, 1975 |
PLACE OF BIRTH | Lugano |