Research

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Research interests: My research is in pure mathematics, but it is usually motivated by problems in physics or other applications. To me, such problems are a great guiding principle for where to look for new mathematics. More concretely, my main interests are:

Publications and Preprints

  1. Gerbes in Geometry, Field Theory, and Quantisation, arXiv:2102.10406.
  2. Principal ∞-Bundles and Smooth String Group Models, arXiv:2008.12263.
  3. The R-Local Homotopy Theory of Smooth Spaces, arXiv:2007.06039.
  4. Smooth 2-Group Extensions and Symmetries of Bundle Gerbes, with Lukas Müller and Richard J. Szabo, arXiv:2004.13395.
  5. Sheaves of Higher Categories and Presentations of Smooth Field Theories, arXiv:2003.00592.
  6. 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].
  7. Transgression of D-Branes, with Konrad Waldorf, arXiv:1808.04894.
  8. 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].
  9. 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].
  10. Categorical Structures on Bundle Gerbes and Higher Geometric Prequantisation, Ph.D. Thesis, arXiv:1709.06174.
  11. Fluxes, bundle gerbes and 2-Hilbert spaces, with Richard J. Szabo, Lett. Math. Phys. 107:1877-1918 (2017), [arXiv:1612.01878].
  12. 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].
  13. A method of deforming G-structures, J. Geom. Phys. 96:72-80 (2015), [arXiv:1410.5849].
  14. Instantons on conical half-flat 6-manifolds, with Olaf Lechtenfeld, Alexander Popov, and Marcus Sperling, JHEP (2015), 030, 38 pp. [arXiv:1409.0030].
  15. 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

Recent and upcoming talks

Notes