PhD-students



  1. Marc Nieper-Wisskirchen Characteristic Classes and Rozansky-Witten Invariants of Compact Hyperkahler Manifolds (Cologne 2002) math.AG/0101062, J. Algebraic Geom. 12 (2003), no. 4, 715-739

  2. Michael Britze On the Cohomology of Generalized Kummer Varieties (Cologne 2003, supervised jointly with M. Lehn)

  3. David Ploog Groups of autoequivalences of derived categories of projective varieties (FU-Berlin 2005) Adv. Math. 216 (2007), no. 1, 62-74. math.AG/0508625

  4. Ernesto Mistretta Stable Vector Bundles on Projective Varieties. (Jussieu 2006). math.AG/0310185 Geom. Dedicata 117 (2006), 203-213. arXiv:math/0703465 J. Lond. Math. Soc. (2) 78 (2008)

  5. Meng Chen Kapustin-Orlov Vertex Algebras and Geometry of Abelian Varieties. (Bonn 2007) math.AG/0512470 J. Geom. Phys. 58 (2008), no. 5, 633-653

  6. Sven Meinhardt Stability conditions on derived categories (Bonn 2008) math.AG/0805.0492 Geom. Dedicata 173 (2014), 365-392; math.AG/0708.3053 Int. J. Math. 23 (2012)

  7. Ulrich Schlickewei Hodge classes on self-products on K3 surfaces (Bonn 2009) math.AG/0907.2503. J. of Algebra 324 (2010), no. 3, 507-529; math.AG/0909.1889 Geom. Dedicata 156 (2012), 141-149 ; math.AG/0909.1888. Rend. Semin. Mat. Univ. Padova 124 (2010), 127-138

  8. Hermes Martinez Fourier-Mukai transform for twisted sheaves. (Bonn 2010)

  9. Pawel Sosna Derived categories and scalar extensions (Bonn 2010) , arXiv:0905.4333v1 Bull. Lond. Math. Soc. 42 (2010), no. 6, 1065-1072. arXiv:1004.4835 Math. Nach.285 (2012), 364-376; arXiv:1109.6515

  10. Heinrich Hartmann Mirror symmetry and stability conditions on K3 surfaces (Bonn 2011) , arXiv:1101.4601v1 Manuscripta Math. 141 (2013), 391-422; arXiv:1012.3121v1 Math. Ann. 354 (2012), 1-42.

  11. Michael Kemeny The moduli of singular curves on K3 surfaces arXiv:1401.1047 J. Math. Pures Appl. (9) 104 (2015), no. 5, 882-920

  12. Stefan Schreieder (Hausdorff Memorial Prize 2015/16) Construction problems in algebraic geometry and the Schottky problem arXiv:1301.0478 Geom. Topol. 19 (2015), no. 1, 295-342; arXiv:1304.5146 Forum of Mathematics, Sigma 2 (2014); arXiv:1409.3134 Math. Ann. 365 (2016), 1017-1039.

  13. Ulrike Riess On the Chow ring of birational irreducible symplectic varieties arXiv:1304.4404 Manuscripta Math. 145 (2014), no. 3-4, 473-501; On the Beauville conjecture arXiv:1409.3484 IMRN 20 (2016) 6133-6150

  14. Emma Brakkee Two polarized K3 surfaces associated to the same cubic fourfold arXiv:1808.01179 Math. Proc. of the Cambridge Philosophical Society. 171 (2021), 51-64; Moduli spaces of twisted K3 surfaces and cubic fourfolds arXiv:1910.03465 Math. Ann. 377 (2020), 1453-1479

  15. Isabell Hellmann (geb. Gross-Brauckmann) The nilpotent cone in the Mukai system for rank 2 and genus 2 arXiv:1910.13127 Math. Ann. 380 (2021), 1687-1711; Birational geometry of the Mukai system of rank two and genus two arXiv:2009.00489 Doc. Math. 27 (2022), 2691-2720; Constant cycle subvarieties in the Mukai system of rank two and genus two arXiv:2009.00976 Abh. Math. Semin. Univ. Hambg. 91 (2021), no. 2, 199-224

  16. Thorsten Beckmann (Hausdorff Memorial Prize 2022/23) Equivariant categories of symplectic surfaces and fixed loci of Bridgeland moduli spaces (with Georg Oberdieck) arXiv:2006.13899 Algebraic Geometry 4 (2022); On equivariant derived categories (with Georg Oberdieck) arXiv:2006.13626 Eur. J. Math. 9 (2023), no. 2, Paper No. 36, 39 pp; Derived categories of hyper-Kaehler manifolds: extended Mukai vector and integral structure arXiv:2103.13382 Comp. Math. 159 (2023), no. 1, 109-152; Second Chern class and Fujiki constants of hyperkaehler manifolds (with Jieao Song) arXiv:2201.07767; Atomic objects on hyper-Kaehler manifolds arXiv:2202.01184 ; Integral Fourier transforms and the integral Hodge conjecture for one-cycles on abelian varieties (with Olivier de Gaay Fortman) arXiv:2202.05230 ; Homological projective duality for the Segre cubic (with Pieter Belmans) arXiv:2202.08601; Derived Categories of Hyper-Kaehler manifolds- Milan J. Math 90 (2022), 445-458.

  17. Mauro Varesco Towards generic base-point-freeness for hyperkaehler manifolds of generalized Kummer type arXiv:2211.11485 Abh. Math. Semin. Univ. Hambg. 93 (2023), no. 2, 133-147; Hodge similarities, algebraic classes, and Kuga-Satake varieties arXiv:2304.02519 Math. Z. 305 (2023), no. 4, Paper No. 69, 20 pp.; Hyper-Kaehler manifolds of generalized Kummer type and the Kuga-Satake correspondence (with Claire Voisin) Milan J. Math. 90 (2022), no. 2, 433; Algebraic cycles on hyper-Kaehler varieties of generalized Kummer type (joint with S. Floccari) arXiv:2308.04865 The Hodge conjecture for powers of K3 surfaces of Picard number 16 arXiv:2203.09778

    Current: Jiexiang Huang, Moritz Hartlieb