

Dr. Lars Petersen
petersen@math.fuberlin.de
phone: +49 30 838 75426
office: room 120


Freie Universität Berlin
Institut für Mathematik
Arnimallee 3
14195 Berlin
Germany





Impressum

Research interests
 toric geometry
 Tvarieties
 spherical varieties
 phylogenetic algebraic geometry

The EulerJaczewski sequence for Tvarieties 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 complexityone Tvarieties, arXiv:1108.0632

The geometry of Tvarieties (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, 1769

Line Bundles on ComplexityOne TVarieties and Beyond,
PhD thesis, March 2011

Cox rings of rational complexity one Tvarieties (joint work with Klaus Altmann),
arXiv:1009.0478;
Journal of Pure and Applied Algebra 216 (2012), 11461159

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), 481504

Klassifikation von Geradenbündeln auf hyperelliptischen Kurven, Diploma thesis, November 2005.
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 ComplexityOne TVarieties, MiniWorkshop "New Developments in NewtonOkounkov Bodies", Oberwolfach, August 2011
 Okounkov Bodies of ComplexityOne TVarieties, 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 ComplexityOne TVarieties, GAeL XVIII, Coimbra, June 2010
 TVarieties and Polyhedral Divisors, Algebraic Geometry Seminar, Warsaw, October 2007
A selected list of conferences, workshops and schools I attended
 S2AM, Berlin, October 2011
 GAeL XIX, Berlin, July 2011
 NoGAGS in Berlin, May 2011
 NoGAGS in Oldenburg, November 2010
 Instantons and Rationality of Moduli Spaces, FU Berlin, November 2010
 S2AM, Berlin, August 2010
 Workshop on Combinatorics in Algebra and Geometry, BTU Cottbus, July 2010
 Summer Workshop on Algebraic Geometry, Tübingen, July 2010
 GAeL XVIII, Coimbra, Portugal, June 2010
 NoGAGS in Berlin, November 2009
 Autumn School on Algebraic Torus Actions, Lukecin, Poland, September 2009
 BPS State Counting, Stability Structures and Derived Algebraic Geometry, Hamburg, September 2009
 Summer School and Conference, Berlin, August 2009
 Vector Bundles on Algebraic Curves, Berlin, June 2009
 YMIS 5, Sedano, Spain, February 2009
 MFO Workshop "Toric Geometry", Oberwolfach, January 2009
 NoGAGS in Göttingen, October 2008
 Deformations of Surfaces, Budapest, October 2008
 Affine Flag Manifolds and Principal Bundles, FU Berlin, September 2008
 NoGAGS in Berlin, May 2008
 Workshop on Deformation Theory, FU and HU Berlin, December 2007
 EPSRC Symposium on Algebraic Geometry, Warwick, September 2007
 Workshop on SeibergWitten theory, FU Berlin, December 2006
 OberwolfachSeminar: Algebraic Stacks, Oberwolfach, October 2006
 Workshop on TVarietes, FU Berlin, August 2006
 Workshop on Derived Categories, FU Berlin, July 2006
 Algebraic Geometry: Warsaw 19602005, Bedlewo, Poland, July 2006
 OberwolfachSeminar: Deformations of Algebraic and Analytic Structures, Oberwolfach, October 2005
 Graduate school "Manifolds of Special Holonomy", FU Berlin, March 2005
Courses

Seminar "LieGruppen und LieAlgebren  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 E_{8}, Staatsexamensarbeit, September 2010

Lucie Franconnet: LieGruppen, LieAlgebren und Darstellungen, Semesterabschlussarbeit, August 2009