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Publications and Preprints
- The local moduli space of the Einstein-Yang-Mills system, with C. S. Shahbazi and V. Muñoz, 39 pp., arXiv:2311.07572.
- ∞-Bundles, invited contribution to the Topology Section in the second edition of the Encyclopedia of Mathematical Physics, 24 pp., arXiv:2308.04196.
- Lorentzian bordisms in algebraic quantum field theory, with J. MacManus and A. Schenkel, 34 pp., arXiv:2308.01026.
- Higher geometric structures on manifolds and the gauge theory of Deligne cohomology, with C. S. Shahbazi, 102 pp., arXiv:2304.06633, submitted.
- An ∞-categorical localisation functor for categories of simplicial diagrams, 27 pp., 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, 387(1-2):689-743 (2023), [arXiv:2008.12263].
- The R-local homotopy theory of smooth spaces, J. Homot. Rel. Struc., 17(4):593-650 (2022), [arXiv:2007.06039].
- Smooth 2-group extensions and symmetries of bundle gerbes, with L. Müller and R. J. Szabo, Comm. Math. Phys. 384(3):1829-1911 (2021), [arXiv:2004.13395].
- Homotopy sheaves on generalised spaces, Appl. Categ. Struct., 31(49), 57 pp. (2023) , [arXiv:2003.00592].
- Smooth functorial field theories from B-fields and D-branes, with K. Waldorf, J. Homot. Rel. Struc. 16(1):75-153 (2021), [arXiv:1911.09990].
- Transgression of D-branes, with K. Waldorf, Adv. Theor. Math. Phys. 25(5):1095-1198 (2021), [arXiv:1808.04894].
- Geometry and 2-Hilbert space for nonassociative magnetic translations, with L. Müller and R. J. Szabo, Lett. Math. Phys. 109:1827-1866 (2019), [arXiv:1804.08953].
- Topological insulators and the Kane-Mele invariant: Obstruction and localisation theory, with R. 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, 139 pp., arXiv:1709.06174.
- Fluxes, bundle gerbes and 2-Hilbert spaces, with R. J. Szabo, Lett. Math. Phys. 107:1877-1918 (2017), [arXiv:1612.01878].
- The 2-Hilbert space of a prequantum bundle gerbe, with C. Sämann and R. 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 O. Lechtenfeld, A. Popov, and M. Sperling, JHEP (2015), 030, 38 pp. [arXiv:1409.0030].
- Instantons on sine-cones over Sasakian manifolds, with T. Ivanova, O. Lechtenfeld, A. Popov, and M. Sperling, Phys. Rev. D 90:065028, 10 pp. (2014), [arXiv:1407.2948].
You can also find my papers on the
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Google Scholar.
MSc Thesis
Popular Science
- How to find holes in the universe, contribution to St Edmund Hall Blog, 28/02/2023.
Recent and upcoming talks
- 07/11/23, Topology and Geometry Seminar, Wichita State University.
- 29/06/23, Workshop Representations in Higher Structures, University of Greifswald.
- 30/03/23, Mathematical Physics Seminar, Perimeter Institute.
- 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, Conference on Generalized Geometry in Interaction, ICMAT (Madrid).
- 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.
Notes
- The AKSZ construction in derived algebraic geometry as a fully extended TFT, Topology Advanced Class, Oxford, 15/06/23.
- 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.