Research

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Publications and Preprints

1. An ∞-categorical localisation functor for categories of simplicial diagrams, arXiv:2207.14608, submitted.
2. Gerbes in geometry, field Theory, and quantisation, Complex Manifolds 8(1):150-182 (2021), in special volume on "Generalized Geometry", [arXiv:2102.10406].
3. Principal ∞-bundles and smooth String group models, Mathematische Annalen, online first, [arXiv:2008.12263].
4. The R-local homotopy theory of smooth spaces, J. Homot. Rel. Struc., online first, [arXiv:2007.06039]
5. 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].
6. Sheaves of higher categories on generalised spaces, arXiv:2003.00592, submitted.
7. 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].
8. Transgression of D-branes, with Konrad Waldorf, Adv. Theor. Math. Phys. 25(5):1095-1198 (2021), [arXiv:1808.04894].
9. 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].
10. 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].
11. Categorical structures on bundle gerbes and higher geometric prequantisation, Ph.D. Thesis, arXiv:1709.06174.
12. Fluxes, bundle gerbes and 2-Hilbert spaces, with Richard J. Szabo, Lett. Math. Phys. 107:1877-1918 (2017), [arXiv:1612.01878].
13. 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].
14. A method of deforming G-structures, J. Geom. Phys. 96:72-80 (2015), [arXiv:1410.5849].
15. Instantons on conical half-flat 6-manifolds, with Olaf Lechtenfeld, Alexander Popov, and Marcus Sperling, JHEP (2015), 030, 38 pp. [arXiv:1409.0030].
16. 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 Google Scholar or Inspirehep.

MSc Thesis

• In my MSc thesis Heterotic flux compactifications with Sasakian manifolds I constructed instanton connections on deformed conical extensions of Sasakian manifolds.

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.