Publications
You can check out my profile on Google Scholar and my articles on the arxiv and on MathSciNet.
Preprints
| arXiv | A representation of the string 2-group, with P. Kristel and K. Waldorf. | |
| arXiv | Quantization of conductance and the coarse cohomology of partitions, with G. C. Thiang. | |
| arXiv | The spinor bundle on loop space. | |
| arXiv | Lie 2-groups from loop group extensions, with K. Waldorf. | |
| arXiv | Categories of Lagrangian correspondences and fermionic functorial field theory. | |
| arXiv | The stringor bundle, 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. |
Journal articles
| arXiv | Journal | A Short Proof of the Localization Formula for the Loop Space Chern Character of Spin Manifolds, with Z. Yi. J. Noncommutative Geom. 17(1):189-210, 2023. |
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| arXiv | Journal | Cobordism invariance of topological edge-following states, with G. C. Thiang.
Advances of Theoretical and Mathematical Physics (ATMP) 26(3):673-710, 2022. |
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| arXiv | Journal | The Fermionic integral on loop space and the Pfaffian line bundle, with F. Hanisch.
J. Math. Phys. 63, 123502, 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. 395:1211-1242, 2022 |
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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 | 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 |
Book Chapters
| arXiv | Coarse geometry and its applications in solid state physics. To appear in: Encyclopedia of Mathematical Physics, 2nd Edition |
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| 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 |
Thesis
| Link | Path Integrals on Manifolds with Boundary and their Asymptotic Expansions, 2016. |
Lecture notes
| Link | C*-Algebras and K-Theory | |
| Link | More Differential Geometry -- Addendum zum Skript Differential Geometry von Christian Bär |