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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 am a PhD student at the University of Regensburg supported by the SFB 1085 “Higher Invariants” funded by the DFG, under the supervision of Bernd Ammann.My research is located in the field of differential geometry and mathematical relativity. More precisely, I currently 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
since March 2019: PhD student at University of Regensburg.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: arXiv:2308.00643Initial data rigidity via Dirac-Witten operators: arXiv:2304.02331
An Enlargeability Obstruction for Spacetimes with both Big Bang and Big Crunch: arXiv:2111.02656
Dominant energy condition and spinors on Lorentzian manifolds (joint with Bernd Ammann). In: Gromov, Lawson (eds.),
Homotopy of the space of initial values satisfying the dominant energy condition strictly.