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Fakultät für Mathematik Universität Regensburg



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Julian Seipel

Fakultät für Mathematik
Universität Regensburg
93040 Regensburg
Germany

E-mail: Julian.Seipel (at) mathematik.uni-regensburg.de
Phone number: +49 941 943 5815
Office: M307



About me

I am a third year PhD student at the University of Regensburg and a member in the SFB Higher invariants at University of Regensburg. I am working in the field of differential geometry. My advisor is Dr. Bernd Ammann .

In my bachelor's thesis "Immersionen und Spinstrukturen" I clarified the connection between the space of immersions of closed oriented surfaces into three dimensional euclidean space and the isomorphism classes of spin structures on the closed oriented surface.

In my master's thesis "Cauchy problems on Lorentzian manifolds with parallel vector and spinor fields " I considered the extension problem of Killing vector fields and Null spinors on globally hyperbolic Lorentzian manifolds, the construction of Lorentzian holonomy groups and gave a simplified solution for the Riemannian Cauchy problem with adapted initial conditions.

I wrote both thesis under the supervision of Dr. Bernd Ammann .

My research interest is in differential geometry, spin geometry, index theory, representation theory and mathematical physics. In particular the perturbation theory on homogeneous spaces and the higher multiplicities of the Atiyah-Singer Dirac operator.

Teaching

Summer Term 2021 Organisator des Übungsbetriebs der Geometrie (Lehramt Gymnasium) mit Prof. Dr. Clara Löh
Winter Term 2020/21 : ❖ Tutor for the lecture 'Differential Geometry I' under Prof. Dr. Clara Löh .
❖ Coorganiser of the Seminar s-cobordism theorem and surgery theory with Dr. Matthias Ludewig.
Summer Term 2020: Tutor for the Seminar 'Fourier-Analyse, Fourier-Transformation und Distributionen' with Prof. Dr. Bernd Ammann and Dr. Matthias Ludewig.
Winter Term 2019/20: Tutor for 'Analysis III' under Prof. Dr. Bernd Ammann.
Winter Term 2018/19: Tutor for 'Algebra' under Prof. Dr. Ulrich Bunke.
Summer Term 2018 : Tutor for 'PDE I' under Prof. Dr. Harald Garcke.
Winter Term 2017/18: Tutor for 'Analysis III' under Prof. Dr. Georg Dolzmann.
Summer Term 2017: Tutor for 'Differentialgeometrie I' under Prof. Dr. Ulrich Bunke.
Winter Term 2016/17: Tutor for 'Lineare Algebra I' under Prof. Dr. Clara Löh.
Summer Term 2016: Tutor for 'Analysis IV' under Prof. Dr. Stefan Friedl.
Winter Term 2015/16: Tutor for 'Analysis I' under Prof. Dr. Harald Garcke.

CV

since March 2019: PhD student at University of Regensburg.
January 2019: MSc Mathematics at University of Regensburg.
February 2017: BSc Mathematics at University of Regensburg.


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