Christian Brennecke

Christian Brennecke

Harvard University
Department of Mathematics
1 Oxford Street
Cambridge, MA 02138, USA

Science Center 239
brennecke Christian Brennecke

About me

I am a Benjamin Peirce Fellow at Harvard University, working with Horng-Tzer Yau. I received my Ph.D. in 2018 from the University of Zurich, where my advisor was Benjamin Schlein. Here is my CV.

Research interests

My research area is mathematical physics. More specifically, I am interested in the analysis of many-body systems from quantum mechanics and statistical physics, such as Bose-Einstein condensates and spin glasses.

Publications & Preprints

  1. (with A. Adhikari, B. Schlein) Bose-Einstein Condensation Beyond the Gross-Pitaevskii Regime.   arXiv
  2. (with A. Adhikari) Free Energy of the Quantum Sherrington-Kirkpatrick Spin-Glass Model with Transverse Field. J. Math. Phys. 61 (2020), no. 8, 1513-1596.   arXiv - Article
  3. (with C. Boccato, S. Cenatiempo, B. Schlein) Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime. Comm. Math. Phys. 376 (2020), 1311-1395.   arXiv - Article
  4. (with C. Boccato, S. Cenatiempo, B. Schlein) Bogoliubov Theory in the Gross-Pitaevskii Limit. Acta Mathematica 222 (2019), no. 2, 219-335.   arXiv - Article
  5. (with P.T. Nam, M. Napiórkowski, B. Schlein) Fluctuations of N-particle quantum dynamics around the nonlinear Schrödinger equation. Ann. Inst. Henri Poincaré C - Anal. Non Linéaire 36 (2019), no. 5, 1201-1235.   arXiv - Article
  6. (with C. Boccato, S. Cenatiempo, B. Schlein) The excitation spectrum of Bose gases interacting through singular potentials. J. Eur. Math. Soc. 22 (2020), 2331-2403.   arXiv - Article
  7. (with C. Boccato, S. Cenatiempo, B. Schlein) Complete Bose-Einstein condensation in the Gross-Pitaevskii regime. Comm. Math. Phys. 359 (2018), no. 3, 975-1026.   arXiv - Article
  8. (with B. Schlein) Gross-Pitaevskii Dynamics for Bose-Einstein Condensates. Analysis & PDE 12 (2019), no. 6, 1513-1596.   arXiv - Article
  9. (with A. Linke, C. Merdon, J. Schoberl) Optimal and pressure-independent L2 velocity error estimates for a modied Crouzeix-Raviart Stokes element with BDM reconstructions. Journal of Computational Mathematics 33 (2015), no. 2, 191-208.   Article