Research

Publications and preprints

1. An equivalence theorem for algebraic and functorial QFT, with J. MacManus and A. Schenkel, 39pp., arXiv:2504.15759.

2. The local moduli space of the Einstein-Yang-Mills system, with C. S. Shahbazi and V. Muñoz, Asian J. Math., 29(2):201-252 (2025), [arXiv:2311.07572].

3. ∞-Bundles, invited contribution to the Topology Section of the Encyclopedia of Mathematical Physics (second edition), 4:77-97 (2025), arXiv:2308.04196.

4. Lorentzian bordisms in algebraic quantum field theory, with J. MacManus and A. Schenkel, 34 pp., Lett. Math. Phys., 115:16 (2025), [arXiv:2308.01026].

5. Higher geometric structures on manifolds and the gauge theory of Deligne cohomology, with C. S. Shahbazi, 102 pp., arXiv:2304.06633.

6. An ∞-categorical localisation functor for categories of simplicial diagrams, 27 pp., arXiv:2207.14608.

7. Gerbes in geometry, field theory, and quantisation, Complex Manifolds 8(1):150-182 (2021), in special volume on Generalized Geometry, [arXiv:2102.10406].

8. Principal ∞-bundles and smooth String group models, Mathematische Annalen, 387(1-2):689-743 (2023), [arXiv:2008.12263].

9. The R-local homotopy theory of smooth spaces, J. Homot. Rel. Struc., 17(4):593-650 (2022), [arXiv:2007.06039].

10. 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].

11. Homotopy sheaves on generalised spaces, Appl. Categ. Struct., 31(49), 57 pp. (2023) , [arXiv:2003.00592].

12. 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].

13. Transgression of D-branes, with K. Waldorf, Adv. Theor. Math. Phys. 25(5):1095-1198 (2021), [arXiv:1808.04894].

14. 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].

15. 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].

16. Categorical structures on bundle gerbes and higher geometric prequantisation, Ph.D. Thesis, 139 pp., arXiv:1709.06174.

17. Fluxes, bundle gerbes and 2-Hilbert spaces, with R. J. Szabo, Lett. Math. Phys. 107:1877-1918 (2017), [arXiv:1612.01878].

18. 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].

19. A method of deforming G-structures, J. Geom. Phys. 96:72-80 (2015), [arXiv:1410.5849].

20. Instantons on conical half-flat 6-manifolds, with O. Lechtenfeld, A. Popov, and M. Sperling, JHEP (2015), 030, 38 pp. [arXiv:1409.0030].

21. 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].

My MSc Thesis on Heterotic Flux Compactifications with Sasakian Manifolds.

You can also find my publications on the ArXiv and Google Scholar.

Recent and upcoming talks

• British Topology Meeting, Cardiff University, September 2025.

• Topology, Geometry, and Physics Seminar Seminar, City University New York (CUNY), 30 May 2025.

• Talk at Signatures and Rough Paths: From Stochastics, Geometry and Algebra to Machine Learning, ICMS Edinburgh, 19--23 May 2025.

• Simons Colloquium on Categorical Symmetries, online colloquium of the eponymous Simons Collaboration, 14 Apr 2025.

• Topology Seminar, EPFL (Lausanne), 02 Apr 2025. Slides.

• Quanum Mathematics Seminar, The University of Nottingham, 04 Dec 2024.