Christian Brennecke Christian Brennecke

Prof. Dr. Christian Brennecke

Institute for Applied Mathematics
University of Bonn
Endenicher Allee 60
53115 Bonn, Germany

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+49 228 73 2446
brennecke Christian Brennecke iam.uni-bonn.de


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

  1. (with H.-T. Yau) A Note on the Replica Symmetric Formula for the SK Model.   arXiv
  2. (with B. Schlein, S. Schraven) Bogoliubov Theory for Trapped Bosons in the Gross-Pitaevskii Regime.   arXiv
  3. (with M. Caporaletti, B. Schlein) Excitation Spectrum for Bose Gases beyond the Gross-Pitaevskii Regime.   arXiv
  4. (with P. von Soosten) On the mean-field equations for ferromagnetic spin systems. Lett. Math. Phys. 111, 108 (2021) .   arXiv - Article
  5. (with B. Schlein, S. Schraven) Bose-Einstein Condensation with Optimal Rate for Trapped Bosons in the Gross-Pitaevskii Regime.   arXiv
  6. (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
  7. (with A. Adhikari, B. Schlein) Bose-Einstein Condensation Beyond the Gross-Pitaevskii Regime. Ann. Henri Poincaré 22, 1163-1233.   arXiv - Article
  8. (with A. Adhikari) Free Energy of the Quantum Sherrington-Kirkpatrick Spin-Glass Model with Transverse Field. J. Math. Phys. 61 , 083302 (2020).   arXiv - Article
  9. (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
  10. (with C. Boccato, S. Cenatiempo, B. Schlein) Bogoliubov Theory in the Gross-Pitaevskii Limit. Acta Mathematica 222 (2019), no. 2, 219-335.   arXiv - Article
  11. (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
  12. (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
  13. (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
  14. (with B. Schlein) Gross-Pitaevskii Dynamics for Bose-Einstein Condensates. Analysis & PDE 12 (2019), no. 6, 1513-1596.   arXiv - Article
  15. (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


News

Der SFB 1060 Die Mathematik der emergenten Effekte hat eine dritte Förderperiode erhalten. (26.11.20)

Prof. Dr. Andreas Eberle erhält den diesjährigen Lehrpreis der Universität Bonn. (22.07.2020)

Herr Dr. Richard Höfer erhielt den Hausdorff-Gedächtnispreis 2019 der Fachgruppe Mathematik für die beste Disseration. Betreut wurde die Arbeit von Prof. J. Velázquez (29.01.2020).

Einer der Preise der Bonner Mathematischen Gesellschaft (BMG) für die besten Bachelorarbeiten 2019 ging an Herrn Peter Holderrieth unter der Betreuung von Prof. A. Eberle (29.01.2020).

Contact

Managing Director: Prof. Dr. Massimiliano Gubinelli
Chief Administrator: Dr. B. Doerffel
geschaeftsfuehrung@iam.uni-bonn.de
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Mailing address

Institute for Applied Mathematics
University of Bonn
Endenicher Allee 60
D-53115 Bonn / Germany