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.
My profile on Google Scholar and my articles on arxiv.
Wochenprogramm Fakultät für Mathematik
Vorlesung "Differential Geometry I" (WS 2022/23): Link
Vorlesung "Analysis III für Physiker" (WS 2021/22): Link
Seminar "Lie groups, Lie algebras and their representations" (WS2020/21): Link
Lecture "C*-Algebras and K-Theory" (SS2020): Link
| arXiv | A representation of the string 2-group, with P. Kristel and K. Waldorf. | |
| arXiv | The insidious bicategory of algebra bundles, with P. Kristel and K. Waldorf. | |
| arXiv | The Clifford algebra bundle on loop space. | |
| arXiv | Breaking symmetries for equivariant coarse homology theories, with U. Bunke. | |
| arXiv | 2-vector bundles, with Peter Kristel and Konrad Waldorf. | |
| arXiv | The Fermionic integral on loop space and the Pfaffian line bundle, with F. Hanisch. |
| arXiv | Cobordism invariance of topological edge-following states, with G. C. Thiang.
Accepted for publication in Advances of Theoretical and Mathematical Physics (ATMP). |
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| arXiv | A Short Proof of the Localization Formula for the Loop Space Chern Character of Spin Manifolds, with Z. Yi. Accepted for publication in J. Noncommutative Geom. |
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| arXiv | Journal | Large-scale geometry obstructs localization, with G. C. Thiang.
Journal of Mathematical Physics 63, 091902 (2022):. |
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| arXiv | Journal | Delocalized spectra of Landau operators on helical surfaces, with Y. Kubota and G. C. Thiang.
Comm. Math. Phys., 2022 |
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| arXiv | Journal | A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold, with F. Hanisch.
Comm. Math. Phys. 391:1209-1239, 2022. |
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| arXiv | Journal | The Chern Character of theta-summable Fredholm Modules over dg Algebras and the Supersymmetric Path Integral, with B. Güneysu.
Adv. Math. 395, 2022, Paper No. 108143, 2022 |
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| arXiv | Journal | A framework for geometric field theories and their classification in dimension one, with A. Stoffel. SIGMA 17, 2021. |
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| arXiv | Journal | Gaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry, with G. C. Thiang. Comm. Math. Phys., 386, 2021. |
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| arXiv | Journal | Good Wannier bases in Hilbert modules associated to topological insulators, with G. C. Thiang. J. Math. Phys., 61, 061902, 2020 |
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| arXiv | Journal | The Chiral Anomaly of the Free Fermion in Functorial Field Theory, with S. Roos. Ann. Henri Poincare, 21:1191-1233, 2020 |
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| arXiv | Journal | Asymptotic eigenfunctions for Schrödinger operators on a vector bundle, with E. Rosenberger. Rev. Math. Phys. 37(7), 2050020, 2020 |
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| arXiv | Journal | Strong short-time asymptotics and convolution approximation of the heat kernel. Ann. Global Anal. Geom., 55(2):371-394, 2019 |
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| arXiv | Journal | The Trace and the Mass of subcritical GJMS Operators. Differ. Geom. Appl., 56:95-109, 2018 |
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| arXiv | Journal | Heat kernel asymptotics, path integrals and infinite-dimensional determinants. J. Geom. Phys., 131:66-88, 2018 |
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| arXiv | Journal | Asymptotic Expansions and Conformal Covariance of the Mass of Conformal Differential Operators. Ann. Global Anal. and Geom., 52(3):237-268, 2016 |
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| arXiv | Journal | Path Integrals on Manifolds with Boundary. Comm. in Math. Phys. 354(2):621-640, 2016 |
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| arXiv | Journal | A Semiclassical Heat Kernel Proof of the Poincare-Hopf Theorem. Man. Math. 148:29-58, 2015 |
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| arXiv | Journal | Vector fields with a non-degenerate source. J. Geom. Phys. 79:59-76, 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 |
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| 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. |
| Link | C*-Algebras and K-Theory |
My E-mail address is MyFirstName.MyLastname (at) mathematik.uni-regensburg.de