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, [arXiv:2008.12263].
  4. The R-local homotopy theory of smooth spaces, arXiv:2007.06039, submitted.
  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. Str. 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].
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