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Publications and Preprints
- An ∞-categorical localisation functor for categories of simplicial diagrams, arXiv:2207.14608, submitted.
- Gerbes in geometry, field Theory, and quantisation, Complex Manifolds 8(1):150-182 (2021), in special volume on "Generalized Geometry", [arXiv:2102.10406].
- Principal ∞-bundles and smooth String group models, Mathematische Annalen, online first, [arXiv:2008.12263].
- The R-local homotopy theory of smooth spaces, J. Homot. Rel. Struc., online first, [arXiv:2007.06039]
- Smooth 2-group extensions and symmetries of bundle gerbes, with Lukas Müller and Richard J. Szabo, Comm. Math. Phys. 384(3):1829-1911 (2021), [arXiv:2004.13395].
- Sheaves of higher categories on generalised spaces, arXiv:2003.00592, submitted.
- Smooth functorial field theories from B-fields and D-branes, with Konrad Waldorf, J. Homot. Rel. Struc. 16(1):75-153 (2021), [arXiv:1911.09990].
- Transgression of D-branes, with Konrad Waldorf, Adv. Theor. Math. Phys. 25(5):1095-1198 (2021), [arXiv:1808.04894].
- Geometry and 2-Hilbert space for nonassociative magnetic translations, with Lukas Müller and Richard J. Szabo, Lett. Math. Phys. 109:1827-1866 (2019), [arXiv:1804.08953].
- Topological insulators and the Kane-Mele invariant: Obstruction and localisation theory, with Richard J. Szabo, Rev. Math. Phys. 32(6):2050017, 91 pp. (2020), [arXiv:1712.02991].
- Categorical structures on bundle gerbes and higher geometric prequantisation, Ph.D. Thesis, arXiv:1709.06174.
- Fluxes, bundle gerbes and 2-Hilbert spaces, with Richard J. Szabo, Lett. Math. Phys. 107:1877-1918 (2017), [arXiv:1612.01878].
- The 2-Hilbert space of a prequantum bundle gerbe, with Christian Sämann and Richard J. Szabo, Rev. Math. Phys., 30:1850001, 101 pp. (2018), [arXiv:1608.08455].
- A method of deforming G-structures, J. Geom. Phys. 96:72-80 (2015), [arXiv:1410.5849].
- Instantons on conical half-flat 6-manifolds, with Olaf Lechtenfeld, Alexander Popov, and Marcus Sperling, JHEP (2015), 030, 38 pp. [arXiv:1409.0030].
- Instantons on sine-cones over Sasakian manifolds, with Tatiana Ivanova, Olaf Lechtenfeld, Alexander Popov, and Marcus Sperling, Phys. Rev. D 90:065028, 10 pp. (2014), [arXiv:1407.2948].
See also
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MSc Thesis
Recent and upcoming talks
- 07/03/23, Conference Building up Differential Homotopy Theory, Aizu (online).
- 02/12/22, Workshop on Loop spaces and higher categories, Huazhong University (online).
- 25/10/22, University of Warwick, Topology Seminar.
- 06/10/22, Monthly Global Diffeology Seminar, online.
- 15/09/22, Annual Meeting of the German Mathematical Society (DMV), Berlin.
- 05/09/22, 4th AQFTUK Meeting, Nottingham.
- 21/07/22, ICM Satellite Conference on Differential Geometry and Applications, Hradec Králové.
- 14/06/22, ICMAT (Madrid); Conference on Generalized Geometry in Interaction.
- 26/04/22, Texas Tech University; Geometry and Topology Seminar.
- 23/03/22, University of Nottingham; Quantum Mathematics Seminar.
- 14/03/22, University of Southampton; Topology Seminar.
- 03/03/22, Cardiff University; GAPT Seminar.
- 07/12/21, University of Hertfordshire; Mathematical Physics Seminar.
Notes
- TQFTs and RCFT correlators IV, Topology Advanced Class, Oxford, 06/06/22.
- String structures and the Witten genus, Topology Advanced Class, Oxford, 21/02/22.
- Topological strings, D-branes, and the derived category of coherent sheaves, ZMP Seminar, Hamburg, 29/04/21.
- Levin-Wen Models, ZMP Seminar, Hamburg, 11/06/20.
- Higher Topoi and Hypercoverings, Higher Structures Research Seminar, Hamburg, 16/12/19.
- Derived Deformation Theory - An Introduction, Higher Structures Research Seminar, Hamburg, 14/10/19.
- Little Cubes and Manifold Topology, Higher Structures Research Seminar, Hamburg 13/05/19.
- Operads and their Algebras, ZMP Seminar Hamburg, 15/11/18.
- Topological Insulators and the Kane-Mele Invariant, MPIM Bonn, 24/10/18.