VL: Discrete Geometry: Polytopes and Polynomials, WS 14/15

Michael Joswig, Institut für Mathematik, TU Berlin.

Assistent: Benjamin Assarf

VL: Tuesday 10-12 (MA 621)
Wednesday 10-12 (MA 621)
TUT+UE: Thursday 14-16 (MA 751)


The dates for the oral exam are: Wed 11th of Feb. and Wed 04th of March. Please check with Antje Schulz in MA 625


Assuming a basic background in polytope theory, this course covers topics in polytopal combinatorics with a view towards applications to solving systems of polynomial equations.

Subject overview:

References (more to be added)

  1. Beck and Robins: Computing the continuous discretely. UTM. Springer, 2007.
  2. Cox, Little, O'Shea: Ideals, varieties, and algorithms. Third edition. UTM. Springer, 2007.
  3. Cox, Little, O'Shea: Using algebraic geometry. Second edition. GTM, Springer, 2005.
  4. De Loera, Rambau and Santos: Triangulations. Springer, 2010.
  5. Joswig and Theobald: Polyhedral and algebraic methods in computational geometry. Springer, 2013.
  6. Joswig and Ziegler: Neighborly cubical polytopes. The Branko Gr├╝nbaum birthday issue. Discrete Comput. Geom. 24, 2000
  7. Joswig: Reconstructing a non-simple polytope from its graph. DMV Sem., 29, 2000.
  8. Thomas: Lectures in geometric combinatorics. Student Mathematical Library, 33. IAS/Park City Mathematical Subseries. AMS, Providence, RI; Institute for Advanced Study (IAS), Princeton, NJ, 2006.
  9. Ziegler: Lectures on polytopes. GTM. Springer, 1995.

Exercise Sheets


Michael Joswig
Last modified: Wed Jan 28 09:41:15 CET 2015