Cesar Ceballos Since October 2009, I am a PhD student in the Discrete Geometry Group at the Freie Universität Berlin under the supervision of Prof. Günter M. Ziegler Member of the DFG research training group Methods for Discrete Structures Member and former student representative of the Berlin Mathematical School Institut für Mathematik Freie Universität Berlin Arnimallee 2 14195 Berlin, Germany Office: Arnimallee 2, room 107 Tel.: (+49) (30) 838 75650 Fax: (+49) (30) 838 75638 Email: ceballos@math.fu-berlin.de

Research

Publications

Talks

CV

Associahedra Seminar

• Discrete Geometry, Associahedra and Generalized Associahedra.
• Cluster Algebras and Cluster Complexes
• Geometric and Topological Combinatorics.
• Tropical Geometry and Tropical Mirror Symmetry.
• Calabi-Yau Geometry and Toric Varieties.

1. Acyclic systems of permutations and fine mixed subdivisions of simplices
   with Federico Ardila
   Preprint, November 2011, 31 pages (arXiv:1111.2966), submitted

2. Realizing the associahedron: Mysteries and questions
   with Günter M. Ziegler, in Associahedra, Tamari Lattices and Related Structures, Tamari Memorial Festschrift,
   eds. F. Müller-Hoissen, J. Pallo and J. Stasheff, Progress in Mathematics 299 (Birkhäuser, 2012). link
   (arXiv:1110.4059)
   

3. Many non-equivalent realizations of the associahedron
   with Francisco Santos and Günter M. Ziegler
   Preprint, September 2011, 28 pages (arXiv:1109.5544), submitted

4. Subword complexes, cluster complexes, and generalized multi-associahedra
   with Jean-Philippe Labbé and Christian Stump
   Preprint, August 2011, 14 pages (arXiv:1108.1776), submitted

Theses:

• A combinatorial model for a torus fibration of a K3 surface in the large complex structure
  Master Class final Test Problem. PDF
  Utrecht University, Utrecht, The Netherlands, 2009
  Advisor: Jan Stienstra
  

• The system of permutations of a fine mixed subdivision of a simplex
  Master Thesis. PDF
  Universidad de los Andes, Bogota, Colombia, 2008
  Advisor: Federico Ardila
  

• Series incondicionalmente convergentes y normalmente sumables en espacios de Banach
  Bachelor Thesis
  Universidad del Valle, Cali, Colombia, 2007
  Advisor: Guillermo Restrepo
  

• Subword complexes, cluster complexes, and generalized multi-associahedra
  Algebra-Geometry-Combinatorics Seminar, San Francisco State University, November 2011

• Subword complexes, cluster complexes, and generalized multi-associahedra
  Algebra and Discrete Mathematics Seminar, UC Davis, November 2011

• Subword complexes, cluster complexes, and generalized multi-associahedra
  Applied Algebra Seminar, York University, November 2011

• Subword complexes, cluster complexes, and generalized multi-associahedra
  Student-Postdoc Seminar, CIRGET-LaCIM, November 2011

• Many non-equivalent realizations of the associahedron
  LaCIM Seminar, LaCIM, November 2011

• What is tropical geometry?
  What is Seminar, Berlin Mathematical School, October 2011

• Many non-equivalent realizations of the associahedron
  BMS Days, Berlin, Germany, February 2011

• What is tropical geometry?
  Zurich Graduate Colloquium, Zurich, Switzerland, November 2010

• Una breve introducción a la geometría de Calabi-Yau
  Universidad Autónoma de Occidente, Cali, Colombia. September 2009

• The system of permutations of a fine mixed subdivision of a simplex
  Monday Colloquium, Berlin, Germany, May 2009

• Colorings of fine mixed subdivisions of a simplex
  Graduate Student Combinatorics Seminar, San Francisco State University, April 2008

• Colorings of fine mixed subdivisions of a simplex
  Graduate Student Combinatorics Conference, Davis, California, April 2008