Research Interest

 
Algebraic Geometry with a focus on

  • asymptotic invariants of linear series
  • the Minimal Model Program

Dissertation

 

Volumina der Zariski-Kammern algebraischer Flächen advised by Prof. Dr. Thomas Bauer
Marburg, July 2012

Publications

 
  • On the Mori theory of Bott-Samelson varieties
    (with Georg Merz, Henrik Seppänen)
    arXiv:1709.09910

  • On the postulation of lines and a fat line
    (with Thomas Bauer, Sandra Di Rocco, Tomasz Szemberg, Justyna Szpond)
    arXiv:1706.02350

  • On numerical Newton-Okounkov bodies and the existence of Minkowski bases
    (with Will Sawin)
    arXiv:1607.03667

  • Newton-Okounkov bodies and complexity functions
    (with Mihai Fulger)
    C.R. Acad. Sci. Paris, Ser. I DOI: 10.1016/j.crma.2016.02.004 (2016)
    arXiv:1603.09191

  • On the boundedness of the denominators in the Zariski decomposition on surfaces
    (with Thomas Bauer, Piotr Pokora)
    Journal für die reine und angewandte Mathematik DOI: 10.1515/crelle-2015-0058 (2015)
    arXiv:1411.2431

  • Global Okounkov bodies for Bott-Samelson varieties
    (with Henrik Seppänen)
    Journal of Algebra DOI: 10.1016/j.jalgebra.2017.07.018
    arXiv:1409.1857

  • On the polyhedrality of global Okounkov bodies
    (with Henrik Seppänen)
    Advances of Geometry DOI: 10.1515/advgeom-2015-0042 (2015)
    arXiv:1403.4517

  • Minkowski decomposition and generators of the moving cone for toric varieties
    (with Piotr Pokora, Stefano Urbinati)
    Quarterly Journal of Mathematics 66 (2015), 925-939
    arXiv:1310.8505

  • Minkowski decomposition of Okounkov bodies on surfaces
    (with Patrycja Łuszcz-Świdecka)
    Journal of Algebra 414 (2014), pp. 159-174
    arXiv:1205.3817

  • Volumes of Zariski chambers
    (with Thomas Bauer)
    Journal of Pure and Applied Algebra, 217 (2013), pp. 153-164
    arXiv:1205.3817

  • Zariski chambers on surfaces of high Picard number
    (with Thomas Bauer)
    LMS Journal of Computation and Mathematics, 15 (2012) 219-230
    arXiv:1204.4373

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