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Publications and Preprints

  1. The local moduli space of the Einstein-Yang-Mills system, with C. S. Shahbazi and V. Muñoz, 39 pp., arXiv:2311.07572.
  2. ∞-Bundles, invited contribution to the Topology Section in the second edition of the Encyclopedia of Mathematical Physics, 24 pp., arXiv:2308.04196.
  3. Lorentzian bordisms in algebraic quantum field theory, with J. MacManus and A. Schenkel, 34 pp., arXiv:2308.01026.
  4. Higher geometric structures on manifolds and the gauge theory of Deligne cohomology, with C. S. Shahbazi, 102 pp., arXiv:2304.06633, submitted.
  5. An ∞-categorical localisation functor for categories of simplicial diagrams, 27 pp., arXiv:2207.14608, submitted.
  6. Gerbes in geometry, field Theory, and quantisation, Complex Manifolds 8(1):150-182 (2021), in special volume on Generalized Geometry, [arXiv:2102.10406].
  7. Principal ∞-bundles and smooth String group models, Mathematische Annalen, 387(1-2):689-743 (2023), [arXiv:2008.12263].
  8. The R-local homotopy theory of smooth spaces, J. Homot. Rel. Struc., 17(4):593-650 (2022), [arXiv:2007.06039].
  9. 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].
  10. Homotopy sheaves on generalised spaces, Appl. Categ. Struct., 31(49), 57 pp. (2023) , [arXiv:2003.00592].
  11. 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].
  12. Transgression of D-branes, with K. Waldorf, Adv. Theor. Math. Phys. 25(5):1095-1198 (2021), [arXiv:1808.04894].
  13. 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].
  14. 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].
  15. Categorical structures on bundle gerbes and higher geometric prequantisation, Ph.D. Thesis, 139 pp., arXiv:1709.06174.
  16. Fluxes, bundle gerbes and 2-Hilbert spaces, with R. J. Szabo, Lett. Math. Phys. 107:1877-1918 (2017), [arXiv:1612.01878].
  17. 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].
  18. A method of deforming G-structures, J. Geom. Phys. 96:72-80 (2015), [arXiv:1410.5849].
  19. Instantons on conical half-flat 6-manifolds, with O. Lechtenfeld, A. Popov, and M. Sperling, JHEP (2015), 030, 38 pp. [arXiv:1409.0030].
  20. 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 ArXiv and Google Scholar.

MSc Thesis

Popular Science

  1. How to find holes in the universe, contribution to St Edmund Hall Blog, 28/02/2023.

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