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Assistant Professor
Department of Mathematical Sciences
University of Copenhagen
Universitetspark 5
2100 Copenhagen Ø, Denmark

Office: 04.03.05          
Phone: +45 353-20695
E-Mail: lenzmann(at)math.ku.dk

Personal Information

Employment

- Associate Professor
University of Copenhagen
09/2011 - present
- Assistant Professor
University of Copenhagen
08/2009 - 08/2011
- CLE Moore Instructor MIT
2006 - 2009

Education

- Doctor in Mathematics
  Advisors: D. Christodoulou and J. Fröhlich

ETH Zürich                     
2006
- Diploma in Physics
ETH Zürich
2002

Awards and Honors

- Steno Research Fellowship from Danish Research Council (2009-2013, Amount approx. $725'000)

- NSF Grant DMS-0702492 (2007-2010, Amount $118'732)

- ETH Medal 2007

- Distinct Swiss Federal Stipend (1999-2000)

Research Interests

- Nonlinear Partial Differential Equations, Analysis, and Mathematical Physics.

Publications and Preprints

- On the continuum limit for discrete NLS with long-range lattice interactions.
  Preprint. Submitted for publication. 25 pages. Joint with K. Kirkpatrick and G. Staffilani.


- Uniqueness and nondegeneracy of ground states for $(-\Delta)^s Q + Q - Q^{\alpha+1} =0$ in $\R$.
  Acta Math. Accepted for publication. 45 pages. Joint with R. Frank.


- On singularity formation for the L2-critical Boson star equation.
  Nonlinearity 24 (2011), 3515pp. 24 pages. Joint with M. Lewin.


- On blowup for time-dependent generalized Hartree-Fock equations.
  Annales Henri Poincare (2010). In Press. 33 pages. Joint with C. Hainzl, M. Lewin and B. Schlein.

- Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs
.
  Duke Math. Journal 152 (2010), no. 2, 257-315. Joint with M. Lewin.

- On stability of pseudo-conformal blowup for L2-critical Hartree NLS.
  Annales Henri Poincaré 10 (2009), no. 6, 1159-1205. Joint with J. Krieger and P. Raphaël.

- Uniqueness of ground states for pseudorelativistic Hartree equations.
 
Analysis & PDE 1 (2009), no. 3, 1-27.

- Blowup for nonlinear wave equations describing Boson stars.
  Comm. Pure Appl. Math. 60 (2007), no. 11, 1691-1705. Joint with J. Fröhlich.

- Dynamical Collapse of white dwarfs in Hartree- and Hartree-Fock theory.
  Comm. Math. Phys. 274 (2007), no. 3, 757-750. Joint with J. Fröhlich.


- Boson stars as solitary waves.
  Comm. Math. Phys. 274 (2007), no. 1, 1-30. Joint with
J. Fröhlich and B.L.G. Jonsson.

- Semi-classical dynamics of quantum spin systems.
  Lett. Math. Phys. 82 (2007), no. 2-3, 275-296. Joint with J. Fröhlich and A. Knowles.

- Effective dynamics for Boson stars.
  Nonlinearity 20 (2007), no. 5, 1031-1075. Joint with
J. Fröhlich and B.L.G. Jonsson.

- Well-posedness for semi-relativistic Hartree equations of critical type.
  Mathematical Physics, Analysis and Geometry 10 (2007), no. 1, 43-64.

- Semi-Relativistic NLS of critical type.
  Oberwolfach Reports 25 (2005), 1421-1422.

- Nonlinear Equations describing the mean-field limit of Bose gases.
  Proceedings of Mathematical Models in Quantum Mechanics/Bressanone (2005). Published electronically. Joint with J. Fröhlich.

- Mean-Field limit of quantum Bose gases and nonlinear Hartree equation.
  Semin. Equ. Deriv. Partielles, Exp. no. XIX, 26pp. Ecole Polytechnique Palaiseau (2004). Joint with J. Fröhlich.

Teaching

- I will teach the MatFys I course starting in November 2010.