
Prof. Dr. Christian Brennecke
Institute for Applied MathematicsUniversity of Bonn
Endenicher Allee 60
53115 Bonn, Germany
Office:
Phone: Email: |
2.060 +49 228 73 2446 brennecke ![]() |
About me
Since Oct. 2021, I am a Bonn Junior Fellow at the University of Bonn. Previously, I was employed as a Benjamin Peirce Fellow at Harvard University, where I have been 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
- The Low Energy Spectrum of Trapped Bosons in the Gross-Pitaevskii Regime. arXiv
- (with H.-T. Yau) A Note on the Replica Symmetric Formula for the SK Model. arXiv
- (with B. Schlein, S. Schraven) Bogoliubov Theory for Trapped Bosons in the Gross-Pitaevskii Regime. Ann. Henri Poincaré (2022) . arXiv - Article
- (with M. Caporaletti, B. Schlein) Excitation Spectrum for Bose Gases beyond the Gross-Pitaevskii Regime. arXiv
- (with P. von Soosten) On the mean-field equations for ferromagnetic spin systems. Lett. Math. Phys. 111, 108 (2021) . arXiv - Article
- (with B. Schlein, S. Schraven) Bose-Einstein Condensation with Optimal Rate for Trapped Bosons in the Gross-Pitaevskii Regime. arXiv
- (with A. Adhikari, P. von Soosten, H.-T. Yau) Dynamical Approach to the TAP Equations for the Sherrington-Kirkpatrick Model. J. Stat. Phys. 183, 35 (2021). arXiv - Article
- (with A. Adhikari, B. Schlein) Bose-Einstein Condensation Beyond the Gross-Pitaevskii Regime. Ann. Henri Poincaré 22, 1163-1233. arXiv - Article
- (with A. Adhikari) Free Energy of the Quantum Sherrington-Kirkpatrick Spin-Glass Model with Transverse Field. J. Math. Phys. 61 , 083302 (2020). arXiv - Article
- (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
- (with C. Boccato, S. Cenatiempo, B. Schlein) Bogoliubov Theory in the Gross-Pitaevskii Limit. Acta Mathematica 222 (2019), no. 2, 219-335. arXiv - Article
- (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
- (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
- (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
- (with B. Schlein) Gross-Pitaevskii Dynamics for Bose-Einstein Condensates. Analysis & PDE 12 (2019), no. 6, 1513-1596. arXiv - Article
- (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