CLE Moore Instructor Mailing address: 77 Massachusetts Avenue Department of Mathematics, Room 2-378 Massachusetts Institute of Technology Cambridge, MA 02139-4307 Phone: 617 258-6721 Email: lenzmann at math.mit.edu Office hours: Wed, 3-4pm, 2-378. Or by appointment.

Professional Background

Appointments and Education

• CLE Moore Instructor at MIT since July 2006.
• Doctor of Mathematics (awarded ETH Medal), ETH Zürich, April 2006. 
  Advisors: Demetrios Christodoulou and Jürg Fröhlich.
• Diploma of Physics (with honors), ETH Zürich, April 2002.                                            
  Advisor: Klaus Hepp.
  

Research Interests

• Analysis of Nonlinear Partial Differential Equations, Mathematical Physics and Variational Calculus.

Awards and Grants

• NSF Research Grant No. 0702492.

• ETH Medal.

• Prize of the Polya Funds.

Publications and Preprints

• Minimiziers for the Hartree-Fock-Bogoliubov Theory of Neutron Stars (with M. Lewin). Preprint (2008). 41 pages. Submitted. Available at arXiv:0809.2560

• On Stability of Pseudo-Conformal Blowup for L2-Critical Hartree NLS (with J. Krieger and P. Raphael). Preprint (2008). 39 pages. Submitted. Available at arXiv:0808.2324

• Uniqueness of Ground States for Pseudo-Relativistic Hartree Equations. Preprint (2008). 27 pages. Submitted. Available at arXiv:0801.3976

• Dynamics of Quantum Spin Systems in Classical Limits (with J. Fröhlich and A. Knowles). Lett. Math. Phys. 82 (2007), no. 2-3, 275-296.

• Blowup for Nonlinear Wave Equations describing Boson Stars (with J. Fröhlich). Comm. Pure Appl. Math. 60 (2007), no. 11, 1691-1705.

• Dynamical Collapse of White Dwarfs in Hartree- and Hartree-Fock Theory (with J. Fröhlich). Comm. Math. Phys. 274 (2007), no. 3, 737-750.

• Boson Stars as Solitary Waves (with J. Fröhlich and B.L.G. Jonsson). Comm. Math. Phys 274 (2007), no. 1, 1-30.

• Well-Posedness for Semi-Relativistic Hartree Equations of Critical Type. Mathematical Physics, Analysis and Geometry 10 (2007), no. 1, 43-64.

• Effective Dynamics for Boson Stars (with J. Fröhlich and B.L.G. Jonsson). Nonlinearity 20 (2007), no. 5, 1031-1077.

• Nonlinear Equations describing the Mean-Field Limit of Bose Gases (with J. Fröhlich). Proceedings of Mathematical Methods in Quantum Mechanics. Bressanone, February 2005. Published electronically.

• Mean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation (with J. Fröhlich). Semin. Equ. Deriv. Part. XIX (2003-2004), 26pp. Ecole Polytechnique Palaiseau.

Teaching

• In Fall 2008, I will be teaching 18.103 (Fourier Analysis: Theory and Applications).
  For more information, please visit the course's web site.

• In Spring 2008, I taught 18.100A (Introduction to Analysis).
  For more information, please visit the course's web site.

• In Fall 2006 and Spring 2007, I taught 18.100B (Analysis I) and 18.152 (Introduction to Partial Differential Equations) respectively.