|
|
|
| 1999 | Diploma in Theoretical Physics, ETH Zürich, Switzerland | | 1999 - 2002 | Graduate studies in Mathematical Physics | | 2002 | PhD from Institute of Theoretical Physics, ETH Zürich, Switzerland | | 2002 - 2003 | Courant Instructor, Courant Institute, New York University, NY, USA | | 2003 - 2004 | Instructor, Stanford University, CA, USA | | 2004 - 2005 | NSF Postdoctoral Fellow, Stanford University, CA, USA | | 2005 - 2006 | NSF Postdoctoral Fellow, Harvard University, Cambridge, MA, USA | | 2006 - 2007 | Assistant Professor (tenure-track), University of California, Davis, CA, USA | | 2007 - 2008 | Research Fellow, supported by Kovalevskaja Award, LMU Munich | | 2007 - 2010 | University Lecturer, Department of Pure Mathematics and Mathematical Statistics, Cambridge, England, UK | | 2010 - 2014 | Hausdorff Chair (W3), University of Bonn | | Since 2014 | Professor, University of Zürich, Switzerland |
|
|
My research field is mathematical physics. I am very interested in the dynamical properties of quantum mechanical systems (quantum dynamics). In the last years, I have been working on the derivation of effective evolution equations for interacting many body systems; see [1,2,3,4,5], as well as on the study of the behavior of the solutions of these macroscopic evolution equations.
Another subject I have been working on is the derivation of Lieb-Robinson bounds for the time evolution of anharmonic lattice systems; these bounds establish the locality of the dynamics; see [6].
I am also interested in the study of the spectral properties of random matrices; in particular, in the last years, I have been working to establish the universality of the local eigenvalue statistics for ensembles of Wigner matrices; see [7,8,9].
Another class of questions I have been trying to understand is related with scattering theory for models of non-relativistic matter coupled to quantized radiation fields; see [10].
|
|
ERC Project “Mathematical Aspects of Quantum Dynamics”
2009 - 2014
|
|
[ 1] László Erdős, Benjamin Schlein, Horng-Tzer Yau
Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems
Invent. Math. , 167: (3): 515--614
2007
DOI: 10.1007/s00222-006-0022-1[ 2] László Erdős, Benjamin Schlein, Horng-Tzer Yau
Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
Ann. of Math. (2) , 172: (1): 291--370
2010
DOI: 10.4007/annals.2010.172.291[ 3] László Erdős, Benjamin Schlein, Horng-Tzer Yau
Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential
J. Amer. Math. Soc. , 22: (4): 1099--1156
2009
DOI: 10.1090/S0894-0347-09-00635-3[ 4] Igor Rodnianski, Benjamin Schlein
Quantum fluctuations and rate of convergence towards mean field dynamics
Comm. Math. Phys. , 291: (1): 31--61
2009
DOI: 10.1007/s00220-009-0867-4[ 6] Bruno Nachtergaele, Hillel Raz, Benjamin Schlein, Robert Sims
Lieb-Robinson bounds for harmonic and anharmonic lattice systems
Comm. Math. Phys. , 286: (3): 1073--1098
2009
DOI: 10.1007/s00220-008-0630-2[ 7] László Erdős, Benjamin Schlein, Horng-Tzer Yau
Wegner estimate and level repulsion for Wigner random matrices
Int. Math. Res. Not. IMRN (3): 436--479
2010
DOI: 10.1093/imrn/rnp136[ 8] László Erdős, José Ram\'\irez, Benjamin Schlein, Terence Tao, Van Vu, Horng-Tzer Yau
Bulk universality for Wigner Hermitian matrices with subexponential decay
Math. Res. Lett. , 17: (4): 667--674
2010
DOI: 10.4310/MRL.2010.v17.n4.a7[ 10] J. Fröhlich, M. Griesemer, B. Schlein
Asymptotic completeness for Compton scattering
Comm. Math. Phys. , 252: (1-3): 415--476
2004
DOI: 10.1007/s00220-004-1180-x |
|
|
|
|
|
| 2006 | Sofja Kovalevskaja Award from the Alexander von Humboldt Foundation | | 2009 | ERC Starting Grant | | 2009 | Young Scientist Prize in Mathematical Physics (IUPAP) |
|
|
| 2006 | International Congress Mathematical Physics (ICMP), Rio de Janeiro, Brasil | | 2008 | Annual meeting of DPG, Freiburg | | 2008 | Annual meeting of DMV, Erlangen | | 2009 | ICMP, Prague, Czech Republic | | 2010 | Annual meeting DPG, Bonn | | 2010 | QMath 11, Hradec Králové, Czech Republic | | 2011 | ICIAM, Vancouver, BC, Canada | | 2011 | Annual meeting DMV, Cologne |
|
|
Download Profile  |
