Publications
You can check out my profile on Google Scholar and my articles on the arxiv and on MathSciNet.
Preprints
| arXiv | Coarse geometric approach to topological phases: Invariants from real-space representations, with Christoph Setescak and Caio Lewenkopf. | |
| arXiv | Coarse geometry and its applications in solid state physics. | |
| arXiv | A representation of the string 2-group, with Peter Kristel and Konrad Waldorf. | |
| arXiv | Quantization of conductance and the coarse cohomology of partitions, with Guo Chuan Thiang. | |
| arXiv | The spinor bundle on loop space. | |
| arXiv | The stringor bundle, with Peter Kristel and Konrad Waldorf. | |
| arXiv | The insidious bicategory of algebra bundles, with Peter Kristel and Konrad Waldorf. | |
| arXiv | 2-vector bundles, with Peter Kristel and Konrad Waldorf. |
Journal articles
| arXiv | Journal | Lie 2-groups from loop group extensions, with Konrad Waldorf. Journal of Homotopy and Related Structures , 2024 |
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| arXiv | Journal | Categories of Lagrangian correspondences and fermionic functorial field theory. SIGMA 20, paper no. 036, 2024 |
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| arXiv | Journal | Large-scale geometry obstructs localization, with Guo Chuan Thiang. J. Math. Phys. 63, paper no. 91902, 2022 |
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| arXiv | Journal | The Clifford algebra bundle on loop space. SIGMA 20, paper no. 020, 2024 |
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| arXiv | Journal | Delocalized spectra of Landau operators on helical surfaces, with Yosuke Kubota and Guo Chuan Thiang. Comm. Math. Phys. 395, pp 1211-1242, 2022 |
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| arXiv | Journal | Breaking symmetries for equivariant coarse homology theories, with Ulrich Bunke. J. Geom. Phys. 201, paper no. 105214, 2024 |
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| arXiv | Journal | A Short Proof of the Localization Formula for the Loop Space Chern Character of Spin Manifolds, with Zelin Yi. J. Noncommut. Geom. 17(1), pp 189-210, 2023 |
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| arXiv | Journal | Gaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry, with Guo Chuan Thiang. Comm. Math. Phys. 386, pp 87-106, 2021 |
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| arXiv | Journal | Cobordism invariance of topological edge-following states, with Guo Chuan Thiang. Adv. Theor. Math. Phys. 26(3), pp 673-710, 2022 |
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| arXiv | Journal | A framework for geometric field theories and their classification in dimension one, with Augusto Stoffel. SIGMA 17, paper no. 072, 2021 |
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| arXiv | Journal | The Chiral Anomaly of the Free Fermion in Functorial Field Theory, with Saskia Roos. Ann. Henry Poincaré 21, pp 1191-1233, 2020 |
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| arXiv | Journal | Good Wannier bases in Hilbert modules associated to topological insulators, with Guo Chuan Thiang. J. Math. Phys. 61, paper no. 061902, 2020 |
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| arXiv | Journal | The Chern Character of theta-summable Fredholm Modules over dg Algebras and the Supersymmetric Path Integral, with Batu Güneysu. Adv. Math. 395, paper no. 108143, 2021 |
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| arXiv | Journal | The Fermionic integral on loop space and the Pfaffian line bundle, with Florian Hanisch. J. Math. Phys 63, paper no. 123502, 2022 |
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| arXiv | Journal | A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold, with Florian Hanisch. Comm. Math. Phys 391, pp 1209-1239, 2022 |
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| arXiv | Journal | The Trace and the Mass of subcritical GJMS Operators. Diff. Geom. Appl. 56, pp 95-109, 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, pp 237-268, 2017 |
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| arXiv | Journal | Heat kernel asymptotics, path integrals and infinite-dimensional determinants. J. Geom. Phys. 131, pp 66-88, 2018 |
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| arXiv | Journal | Strong short-time asymptotics and convolution approximation of the heat kernel. Ann. Global Anal. Geom. 55, pp 371-394, 2019 |
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| arXiv | Journal | Path Integrals on Manifolds with Boundary. Comm. in Math. Phys. 354, pp 621-640, 2017 |
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| arXiv | Journal | Asymptotic eigenfunctions for Schrödinger operators on a vector bundle, with Elke Rosenberger. Rev. Math. Phys. 32(7), paper no. 2050020, 2020 |
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| arXiv | Journal | Vector fields with a non-degenerate source. J. Geom. Phys 79, pp 59-76, 2014 |
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| arXiv | Journal | A Semiclassical Heat Kernel Proof of the Poincare-Hopf Theorem. Manuscripta Math. 148, pp 29-58, 2015 |
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, Editors: Owen Dearricott, Wilderich Tuschmann, Yuri Nikolayevsky, Thomas Leistner, Diarmuid Crowley, Cambridge University Press, 2020 |
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| arXiv | Book | Heat Kernels as Path Integrals. In: Space – Time – Matter, Editors: Jochen Brüning and Matthias Staudacher, de Gruyther, 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 |