Stefan Czimek

Professor of Mathematics at Leipzig University.

firstname.lastname at uni-leipzig.de

Office 332
Mathematisches Institut
Augustusplatz 10
04109 Leipzig, Deutschland

I did postdocs at the Fields Institute, the University of Toronto and
ICERM at Brown University. I defended my PhD at the LJLL (Paris 6)
under the supervision of Jérémie Szeftel.

I am a co-organizer of the General Relativity & PDE seminar, member of the Leipzig Center for Mathematical Physics, and scientific member of the International Max Planck Research School "Mathematics in the Sciences".

News:

  • University of Leipzig systems (including emails and moodle) are currently not working due to a cyber attack.
  • Mathematik I: course website with lecture notes and exercise sheets.
  • I posted a new paper on the arXiv: Characteristic gluing to extremal Kerr horizons and the third law of black hole thermodynamics in vacuum, arXiv:2610.35836.
  • This term, I am teaching Mathematical Relativity at the UL Math Department.

Research

Blockchain analysis:

I am interested in the development of novel mathematical tools to investigate, analyze and understand the dynamics on blockchains (forensics, graph theory, privacy).

General Relativity:

I use tools from analysis, PDE theory and differential geometry to study fundamental problems of general relativity, with a focus on the Einstein Vacuum Equations.

Publications and preprints

  1. Characteristic gluing to extremal Kerr horizons and the third law of black hole thermodynamics in vacuum.
    arXiv:2610.35836.
  2. (with Rodnianski) Obstruction-free gluing for the Einstein equations.
    arXiv:2210.09663.
  3. (with Aretakis and Rodnianski) Characteristic gluing to the Kerr family and application to spacelike gluing.
    Comm. Math. Phys. 403, 275-327 (2023).
  4. (with Aretakis and Rodnianski) The characteristic gluing problem for the Einstein vacuum equations. Linear and non-linear analysis.
    Ann. Henri Poincaré (2023)
  5. (with Aretakis and Rodnianski) The characteristic gluing problem for the Einstein equations and applications.
    Duke Math. J. (to appear); see also arXiv:2107.02441.
  6. (with Graf) The spacelike-characteristic Cauchy problem of general relativity in low regularity.
    Ann. PDE 8, 22 (2022).
  7. (with Graf) The canonical foliation on null hypersurfaces in low regularity.
    Ann. PDE 8, 23 (2022).
  8. The localised bounded L2-curvature theorem.
    Comm. Math. Phys. 372, 71-90 (2019).
  9. Boundary harmonic coordinates on manifolds with boundary in low regularity.
    Comm. Math. Phys. 371, 1131-1177 (2019).
  10. An extension procedure for the constraint equations.
    Ann. PDE 4, 2 (2018).

Theses

  • The Cauchy problem in general relativity, Ph.D. thesis, UPMC (Paris 6), 2017, 259 pages.
  • On the static metric extension problem (here), Master’s thesis at ETH Zurich, 2014, 21 pages.