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| Fakultät für Mathematik | Universität Regensburg |
Jonathan Glöckle
Fakultät für Mathematik
Universität Regensburg
93040 Regensburg
Germany
E-mail: jonathan.gloeckle "at" ur.de
Phone number: +49 941 943 3142
Office: M310
About me
I recently obtained my PhD under the supervision of Bernd Ammann at University of Regensburg. During my PhD and still today I am supported by the SFB 1085 “Higher Invariants”, funded by the DFG.My research is located in the field of differential geometry and mathematical relativity. More precisely, I use spinoral methods to investigate the dominant energy condition for initial data sets. This has connections to positive (or non-negative) scalar curvature for Riemannian manifolds and Lorentzian special holonomy.
Teaching
Summer Term 2024: Learning seminar ('HIOB') 'Gromov-Hausdorff convergence and metric geometry' joint with Matthias Uschold and Julian Seipel.Summer Term 2024: Exercise class for 'Elementare Differentialgeometrie' under Dr. Matthias Ludewig.
Winter Term 2023/24: Student seminar 'Morse Theory' joint with Dr. Matthias Ludewig.
Summer Term 2023: Exercise class for 'Symplectic Geometry and Classical Mechanics' under Prof. Dr. Bernd Ammann.
Winter Term 2022/23: Exercise class for 'Geometric PDEs on Manifolds: The Yamabe Problem' under Prof. Dr. Bernd Ammann.
Summer Term 2022: Exercise class for 'Differential Geometry II' under Prof. Dr. Ulrich Bunke.
Winter Term 2021/22: Exercise class for 'Lorentzian Geometry' under Prof. Dr. Bernd Ammann.
Summer Term 2021: Exercise class for 'Differential Geometry II' under Prof. Dr. Bernd Ammann.
Winter Term 2020/21: Student seminar 'Lie groups, Lie algebras and their representations' joint with Dr. Matthias Ludewig.
Summer Term 2020: Central exercise for 'Analysis auf Mannigfaltigkeiten' under Prof. Dr. Bernd Ammann.
Winter Term 2019/20: Central exercise for 'Analysis III' under Prof. Dr. Bernd Ammann.
Winter Term 2018/19: Tutor for 'Algebra' under Prof. Dr. Ulrich Bunke.
Winter Term 2017/18: Tutor for 'Funktionalanalysis' under Prof. Dr. Harald Garcke.
Summer Term 2017: Tutor for 'Algebraic Topology II' under Prof. Dr. Stefan Friedl.
Winter Term 2016/17: Tutor for 'Algebraic Topology I' under Prof. Dr. Stefan Friedl.
Summer Term 2016: Tutor for 'Analysis IV' under Prof. Dr. Stefan Friedl.
Winter Term 2015/16: Tutor for 'Analysis III' under Prof. Dr. Stefan Friedl.
CV
July 2024: PhD Mathematics at University of Regensburg.Thesis: Spinors and the Dominant Energy Condition for Initial Data Sets, doi:10.5283/epub.53013
January 2019: MSc Mathematics at University of Regensburg.Master thesis: Initial Value Spaces in General Relativity, doi:10.5283/epub.52853
February 2017: BSc Mathematics at University of Regensburg.
Publications and Preprints
Initial data sets with dominant energy condition admitting no smooth DEC spacetime extension.Initial data rigidity via Dirac-Witten operators: arXiv:2304.02331
An Enlargeability Obstruction for Spacetimes with both Big Bang and Big Crunch: arXiv:2111.02656, to appear in Math. Res. Lett. 31 (5)
Dominant energy condition and spinors on Lorentzian manifolds (joint with Bernd Ammann). In: Gromov, Lawson (eds.),
On the space of initial values strictly satisfying the dominant energy condition.