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Andreas Krug

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

Phone 0049-6421-28-26557
Email andkrug ( add
Room 06D04

Since October 2015, I am working as an assistant of
Sönke Rollenske at the University of Marburg.
Before, I was a visiting fellow at the University of Warwick. There, I was founded by the DFG (German Research Foundation) and my host was Miles Reid.
Prior to that, I was a postdoc in Bonn in the group of Daniel Huybrechts and a PhD student of Marc Nieper-Wißkirchen at the University of Augsburg.

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


Here is an electronic copy of my Habilitation thesis. The body of the thesis consists of nine of the above research papers. However, there is a long introduction (25 pages) which might be of some interest. It gives a summary of the papers of mine and makes an attempt to give an overview of related work of other authors on derived categories. 

Here is a lecture script (in German language) for the Linear Algebra course for students of Computer Science and Physics which I gave in Marburg in the Winter term 2018/19.

  • Videos of a mini course (three lectures) on derived categories and the McKay correspondence
    that I gave at the Winter School on Algebraic Surfaces at KIAS (Seoul) in January 2016.
    (The above link directs to the KIAS Media Archive. There, the videos can be found in the category 'Center & Programs' not 'Mathematics'.)
  • Beamer slides of a short talk on Hilbert schemes, symmetric quotient stacks, and categorical Heisenberg actions
    that I gave at the Workshop on Lie Theory in Rauischholzhausen in March 2016.
  • Beamer slides of my Habilitation talk (in German language) on the Weil Conjectures that I gave at the University of Marburg in November 2017.
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