General Information
Travel Information

Summer School on Algebraic and Tropical Geometry

Kaiserslautern, September 7-11, 2015

On the occasion of the 50 year long diplomatic relations between Germany and Israel, the project IMAGINARY Israel by the Mathematisches Forschungsinstitut Oberwolfach (MFO) was launched. It receives funding from the Federal Ministry of Education and Research (BMBF) and is organized within the Research in Germany campaign of the BMBF, with the aim of strengthening the traditionally very good mathematical research collaborations between the two countries.
The project consists of two mathematics exhibitions for the general public and a summer school and a conference mainly for young mathematicians from Germany and Israel. The summer school will be hosted at the Department of Mathematics at the University of Kaiserslautern from September 7, 2015 to September 11, 2015 (arrival, September 6; departure, September 12).


The programme of the summer school consists of three series of lectures with accompanying example classes. The summer school aims at advanced graduate students, PhD students and young PostDocs interested in the subject. The participants are supposed to be familiar with the basics of algebraic geometry, say, in the form of an introductory course on algebraic geometry.

  • Andreas Gathmann (Kaiserslautern) will give a four lecture mini course on Algebraic and Tropical Moduli Spaces of Curves
  • Eugenii Shustin (Tel Aviv) will give a four lecture mini course on Real Enumerative Geometry.
  • In addition to this there will be a two lecture mini course by Michael Joswig (Berlin) on Tropical Combinatorics and Tropical Linear Programming.

How to apply

Anyone who wants to participate should send an informal email to The email should contain the following data:

  • Name
  • Address
  • Affiliation
  • Supervisor (if applicable)
  • Area of research
  • Do you need financial support.
We will be able to support about 25 to 30 advanced graduate students, PhD students and young PostDocs from Germany and Israel (at least partly) concerning their travel and accomodation.

Scientific Committee

Gert-Martin Greuel (Kaiserslautern), Hannah Markwig (Saarbrücken), Eugenii Shustin (Tel Aviv), Mina Teicher (Ramat Gan)

Local Organisers

Thomas Markwig (Kaiserslautern), Petra Bäsell (Kaiserslautern), Janko Böhm (Kaiserslautern), Yue Ren (Kaiserslautern),

Equations for the 3-twisted Möbius strip as SURFER input, one for each colour (a<1, b>0):
(-2*(a+b)*(x^2+y^2)^2+(a-b)*((-y^3+3*y*x^2)*(x^2+y^2+1-z^2)-2*(3*y^2*x-x^3)*z))^2-(x^2+y^2)*((a+b)* (x^2+y^2)*(x^2+y^2+1+z^2)-2*(a-b)*(-y^3+3*y*x^2-z*(3*y^2*x-x^3))-2*a*b*(x^2+y^2))^2

Dept. of MathematicsAG Algebra & GeometrieCAS SINGULAR