Dipl.-Math. Dr. Reinhard Steffens

Research Assistant of Prof. Dr. Thorsten Theobald

Department of Mathematics and Computer Science

Goethe-Universität Frankfurt am Main

Short CV (click here)

Research Interests

• Mixed Volumes
• Ehrhart Theory
• Tropical Geometry
• Linkages

Teaching

• SS 09:
  • Das Kontinuum diskret berechnen (Proseminar)
• WS 08/09:
  • Einführung in die computerorientierte Mathematik
• SS 08:
  • Vorkurs Mathematik
• WS 07/08:
  • Diskrete und algorithmische Geometrie
• "Applicable Algebraic Geometry" Summer School (Juli/August 2007) at Texas A&M University:
  • Introduction to Polynomial Homotopy Continuation with PHCpack

Dissertation

• Mixed Volumes, Mixed Ehrhart Theory and Applications to Tropical Geometry and Linkage Configurations (pdf)

Publications

• R. Steffens and T. Theobald. Combinatorics and Genus of Tropical Intersections and Ehrhart Theory.  http://arxiv.org/abs/0902.1072 . (To appear in SIAM Journal of Discrete Mathematics)
• R. Steffens and T. Theobald. Mixed Volume Techniques for Embeddings of Laman Graphs. Computational Geometry: Theory and Applications, 2009.

Talks

• "New Techniques for Explicit Mixed Volume Computation". Jahrestagung der Deutschen Mathematiker Vereinigung 2008. September 14-20. Erlangen, Germany.
  • Slides
• "Some new Techniques for Explicit Mixed Volume Computation".  Rhine Workshop on Computer Algebra. June 14-16 2008. Trento, Italy.
  • Extended Abstract
  • Slides
• "Exploting Symmetries in Mixed Volume Computation".  June 10, 2008. Goethe Universität Frankfurt, Germany.
  • Extended Abstract
• "Mixed Volume Techniques for Embeddings of Laman Graphs". European Workshop on Computational Geometry. March 18-20, 2008. Nancy, France.
  • Extended Abstract
  • Slides
• "Puiseux-Reihen als Lösungen von Polynomgleichungssystemen und Faserpolytope". June 29, 2007.  Goethe Universität Frankfurt, Germany.
  • Slides
• "Laman Graph Embeddings". January 18, 2007.  TU Berlin, Germany. February 7, 2007.  Goethe Universität Frankfurt, Germany.
  • Slides

Posters

• "Linkage Problems and Real Algebraic Geometry". IMA Workshop "Non-Linear Computaional Geometry". May 2007. Minneapolis, USA.
  • Poster
• "Linkage Problems and Real Algebraic Geometry". IMA Workshop "Applications in Biology, Dynamics and Statistics". March 2007. Minneapolis, USA.
  • Poster

Diploma Thesis and Related Work (2006)

• "Explizite Formeln für Fourier-Koeffizienten von Modulformen vom Gewicht 3/2".
  • Diploma Thesis (German)
  • Abstract (German)
• Pari gp skript to calculate the fourier series expansion of elememts of M_{\frac{3}{2}}(\Gamma_0(N),\chi)
• Pari gp skript to calculate the trace T(n) on S_k(\Gamma_0(N),\chi) for integers k > 2

Organizatorial Activities

• Exhibition "Jüdische Mathematiker in der Deutschsprachigen Akademischen Kultur". May 6-20, 2008. Frankfurt, Germany.
• Festvortrag von G.M. Ziegler zum Jahr der Mathematik "Elegante Mathematische Beweise". April 11, 2008. Frankfurt, Germany.
• "A Saturday of Discrete Mathematics" January 26, 2008. Frankfurt, Germany.
• "Applicable Algebraic Geometry" IMA Graduate Summer School. July 23 - August 10, 2007. Texas A&M University, College Station, USA.

Former Universities

• Technical University of Berlin, Germany.
  • Discrete Geometry Group
• University of Exeter, Great Britain.
  • School of Engineering, Computing and Mathematics
• University of Siegen, Germany.
  • Algebra and Number Theory Group
  • Project: "Mathematik Neu Denken"

geändert am 30. Dezember 2010  E-Mail: Webmastersteffens@math.uni-frankfurt.de