Fakultät für Mathematik | Universität Regensburg |

Julian Seipel

Fakultät für Mathematik

Universität Regensburg

93040 Regensburg

Germany

About me

I am a fifth year PhD student at the Department of Mathematics 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 theses 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

❖ Coorganiser of the Seminar s-cobordism theorem and surgery theory with Dr. Matthias Ludewig.

CV