Fachbereich Mathematik

Veröffentlichungen

Preprints

To appear

Veröffentlichte Paper

      Surveys et.al.

      • Tropical curves and covers and their moduli spaces. Jahresbericht der DMV 2020, 122(3), 139-166.
      • Three tropical enumerative problems. Mathematisches Institut, Georg-August-Universität Göttingen: Seminars Winter Term 2007/2008. Lecture notes from the “Courant Colloquia” held at the University of Göttingen, Göttingen, 2004–2005. Edited by Yuri Tschinkel. Universitätsdrucke Göttingen, Göttingen.
      • The j-invariant of a plane tropical cubic. In Ina Kersten and Ralf Meyer (editors), Symmetries in Algebra and Number Theory, 65--68, Universitä tsverlag Gö ttingen, 2009. Proceedings of the Gö ttingen-Jerusalem Conference held October 27-30, 2008 in Göttingen.
      • Tropische Geometrie, Artikel in den Mitteilungen der Deutschen Mathematiker Vereinigung.
      • Tropische Geometrie, Kapitel im Buch Facettenreiche Mathematik, Katrin Wendland, Annette Werner (Hrsg.), Vieweg+Teubner 2011.
      • with Renzo Cavalieri and Paul Johnson: Chamber structure for double Hurwitz numbers. 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), 227–238, Discrete Math. Theor. Comput. Sci. Proc., AN, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2010.
      • with Dhruv Ranganathan: Appendix in the book "Riemann Surfaces and Algebraic Curves - a first course in Hurwitz theory" by Renzo Cavalieri and Eric Miles. London Math. Soc. 87 (2016).

      Diplomarbeit und Dissertation

      • Free resolutions of fat points on a conic in the projective plane. Diplomarbeit an der Universität Kaiserslautern (2003).
      • The enumeration of plane tropical curves. PhD thesis. Technische Universität Kaiserslautern (2006).

      SINGULAR-libraries

      • ellipticcovers.lib (with Janko Boehm, Kathrin Bringmann and Arne Buchholz). A Singular 4 library for Gromov-Witten invariants of elliptic curves (2013).
      • tropical.lib (with Anders Jensen and Thomas Markwig), A SINGULAR 3.0 library for computations in tropical geometry (2007).
      • jinvariant.lib (with Eric Katz and Thomas Markwig), A SINGULAR 3.0 library for proving statements about the tropical j-invariant (2007).