FB 12 / Mathematik und Informatik
Philipps-Universität Marburg
Hans-Meerwein-Str. 6/ Campus Lahnberge
35032 Marburg
Germany

• Derived categories of coherent sheaves
• Hilbert schemes of points on surfaces
• Calabi-Yau varieties

• Derived categories of resolutions of cyclic quotient singularities.
  with David Ploog and Pawel Sosna. Preprint arXiv:1701.01331, 33 pages.
• Remarks on the derived McKay correspondence for Hilbert schemes of points and tautological bundles.
  Preprint arXiv:1612.04348, 24 pages.
• Varieties with P-units.
  Preprint arXiv:1604.03537, 23 pages. To appear in Trans. Amer. Math. Soc.
  
• Symmetric quotient stacks and Heisenberg actions.
  12 pages. To appear in Math. Z. DOI:10.1007/s00209-017-1874-3
  
• Equivalences of equivariant derived categories.
  with Pawel Sosna. J. Lond. Math. Soc. (2) (2015), no. 1, 19–40.
• P-functor versions of the Nakajima operators.
  Preprint arXiv:1405.1006, 41 pages.
• On the derived category of the Hilbert scheme of points on an Enriques surface.
  with Pawel Sosna. Selecta Math. (N.S.) 21 (2015), no. 4, 1339–1360.
• Spherical functors on the Kummer surface.
  with Ciaran Meachan. Nagoya Math. J. 219 (2015), 1–8.
• On derived autoequivalences of Hilbert schemes and generalised Kummer varieties.
  Int. Math. Res. Not. 20 (2015), 10680-10701.
  
• Tensor products of tautological bundles under the Bridgeland-King-Reid-Haiman equivalence.
  Geom. Dedicata 172 (2014), 245-291.
  
• Extension groups of tautological sheaves on Hilbert schemes.
  J. Algebraic Geom. 23 (2014), no.3, 571-598.