I am a PostDoc at the University of Regensburg in the group of Bernd Ammann.
I am interested in the geometry and topology of manifolds, and relations between the two. Here, much of my research is inspired by techniques, principles and heuristics from mathematical physics. In my research, I try to combine theory and techniques from areas like differential geometry, global and geometric analysis, geometric asymptotics and stochastic analysis on manifolds but also from homotopy theory and higher category theory.
Seminar "Lie groups, Lie algebras and their representations" (WS2020/21): Link
Lecture "C*Algebras and KTheory" (SS2020): Link
arXiv  A Short Proof of the Localization Formula for the Loop Space Chern Character of Spin Manifolds, with Z. Yi.  
arXiv  Gaplessness of Landau Hamiltonians on hyperbolic halfplanes via coarse geometry, with G. C. Thiang. To appear in Comm. Math. Phys.  
arXiv  Cobordism invariance of topological edgefollowing states, with G. C. Thiang.  
arXiv  A framework for geometric field theories and their classification in dimension one, with A. Stoffel.  
arXiv  The Chern Character of thetasummable Fredholm Modules over dg Algebras and the Supersymmetric Path Integral, with B. Güneysu.  
arXiv  A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold, with F. Hanisch. 
arXiv  Journal  Good Wannier bases in Hilbert modules associated to topological insulators, with G. C. Thiang. J. Math. Phys., 61, 061902, 2020 

arXiv  Journal  The Chiral Anomaly of the Free Fermion in Functorial Field Theory, with S. Roos. Ann. Henri Poincare, 21:11911233, 2020 

arXiv  Journal  Asymptotic eigenfunctions for Schrödinger operators on a vector bundle, with E. Rosenberger. Rev. Math. Phys. 37(7), 2050020, 2020 

arXiv  Journal  Strong shorttime asymptotics and convolution approximation of the heat kernel. Ann. Global Anal. Geom., 55(2):371394, 2019 

arXiv  Journal  The Trace and the Mass of subcritical GJMS Operators. Differ. Geom. Appl., 56:95109, 2018 

arXiv  Journal  Heat kernel asymptotics, path integrals and infinitedimensional determinants. J. Geom. Phys., 131:6688, 2018 

arXiv  Journal  Asymptotic Expansions and Conformal Covariance of the Mass of Conformal Differential Operators. Ann. Global Anal. and Geom., 52(3):237268, 2016 

arXiv  Journal  Path Integrals on Manifolds with Boundary. Comm. in Math. Phys. 354(2):621640, 2016 

arXiv  Journal  A Semiclassical Heat Kernel Proof of the PoincareHopf Theorem. Man. Math. 148:2958, 2015 

arXiv  Journal  Vector fields with a nondegenerate source. J. Geom. Phys. 79:5976, 2014 
arXiv  Book  Construction of the supersymmetric path integral: A survey. In: Differential Geometry in the Large, Ed. O. Dearricott, W. Tuschmann, Y. Nikolayevsky, T. Leistner, D. Crowley. Cambridge University Press, 2020 

arXiv  Book  Heat Kernels as Path Integrals. Part of the chapter Geometric analysis on singular spaces, with F. Bei, J. Brüning, B. Güneysu. In: Space  time  matter, Ed. J. Brüning, M. Staudacher. De Gruyter, Berlin, 2018 
Link  Path Integrals on Manifolds with Boundary and their Asymptotic Expansions, 2016. 
My Email address is MyFirstName.MyLastname (at) mathematik.uniregensburg.de