Picture of Lars Petersen Dr. Lars Petersen

petersen@math.fu-berlin.de
phone: +49 30 838 75426
office: room 120
Freie Universität Berlin
Institut für Mathematik
Arnimallee 3
14195 Berlin
Germany










Impressum

About me

I am a member of the Sonderforschungsbereich 647: Raum - Zeit - Materie. Analytische und Geometrische Strukturen. In more detail, I am a postdoctoral researcher associated with project [A3]:"Singularities in Manifolds with Special Holonomy" which is linked to Prof. Klaus Altmann's Arbeitsgruppe Algebra at Freie Universität Berlin.

Research interests

Publications

  • The Euler-Jaczewski sequence for T-varieties of complexity one (joint work with Oskar Kędzierski; in preparation)
  • Merging divisorial with colored fans (joint work with Klaus Altmann, Valentina Kiritchenko), arXiv:1210.4523
  • Okounkov bodies of complexity-one T-varieties, arXiv:1108.0632
  • The geometry of T-varieties (joint work with Klaus Altmann, Nathan Ilten, Hendrik Süß, Robert Vollmert) arXiv:1102.5760; impanga Lecture Notes, Contributions to Algebraic Geometry, Piotr Pragacz (ed.), 2012, 17-69
  • Line Bundles on Complexity-One T-Varieties and Beyond, PhD thesis, March 2011
  • Cox rings of rational complexity one T-varieties (joint work with Klaus Altmann), arXiv:1009.0478;
    Journal of Pure and Applied Algebra 216 (2012), 1146-1159
  • Computations with equivariant toric vector bundles (joint work with René Birkner, Nathan Ilten),
    Journal of Software for Algebra and Geometry, July 2010
  • Torus invariant divisors (joint work with Hendrik Süß), arXiv:0811.0517;
    Israel Journal of Mathematics 182 (2011), 481-504
  • Klassifikation von Geradenbündeln auf hyperelliptischen Kurven, Diploma thesis, November 2005.

Academic activities

Talks

  • From colored fans to divisorial fans, Algebraic Geometry Seminar, Warsaw, May 2012
  • Okounkov Bodies and Toric Degenerations (presenting work of Dave Anderson), Workshop "Extremal Laurent Polynomials and Fano Varieties", FU Berlin, December 2011
  • Okounkov Bodies of Complexity-One T-Varieties, Mini-Workshop "New Developments in Newton-Okounkov Bodies", Oberwolfach, August 2011
  • Okounkov Bodies of Complexity-One T-Varieties, Seminar on Algebraic Geometry, FU Berlin, April 2011
  • Cox Rings, Coverings of Curves and Polyhedral Divisors, Summer Workshop on Algebraic Geometry, Tübingen, July 2010
  • Okounkov Bodies of Rational Complexity-One T-Varieties, GAeL XVIII, Coimbra, June 2010
  • T-Varieties and Polyhedral Divisors, Algebraic Geometry Seminar, Warsaw, October 2007

A selected list of conferences, workshops and schools I attended

Teaching

Courses

  • Seminar "Lie-Gruppen und Lie-Algebren -- Eine Einführung", SS 09
  • Übung zur Vorlesung "Riemann Surfaces" (BMS), WS 08/09
  • Seminar "Lineare Algebra als Grundlage algebraischer Strukturen in der Differentialgeometrie", SS 08
  • Übung zur Vorlesung "Algebraic Geometry" (BMS), SS 07
  • Übung zur Vorlesung "Commutative Algebra" (BMS), WS 06/07
  • Zentralübung zur Vorlesung "Lineare Algebra II", SS 06

Students

  • Stefanie Bauer: Das Wurzelsystem E8, Staatsexamensarbeit, September 2010
  • Lucie Franconnet: Lie-Gruppen, Lie-Algebren und Darstellungen, Semesterabschlussarbeit, August 2009

Links