Cesar Ceballos under the supervision of Günter M. Ziegler. I was also a member of the DFG research training group Methods for Discrete Structures and a member and former student representative of the Berlin Mathematical School. address: Department of Mathematics and Statistics York University 4700 Keele St, Toronto, ON M3J 1P3, Canada Office: 2026 TEL Building Tel.: (+1) 4167362100 ext 33545 Email: ceballos@mathstat.yorku.ca

Research interests
Publications and preprints
Cluster algebras of type D_{4}, tropical planes, and the positive tropical Grassmannian.
arXiv:1511.02699
with Sarah Brodsky and JeanPhilippe Labbé.
A Hopf algebra of subword complexes.
arXiv:1508.01465
with Nantel Bergeron.
Combinatorics of the zeta map on rational Dyck paths.
arXiv:1504.06383,
slides
with Tom Denton and
Christopher Hanusa.
Cluster algebras of type D: pseudotriangulations approach.
arXiv:1504.06377
with Vincent Pilaud.
Fan realizations of subword complexes and multiassociahedra via Gale duality.
link,
arXiv:1404.7380
with Nantel Bergeron and JeanPhilippe Labbé.
Discrete and Computational Geometry, accepted.
The diameter of type D associahedra and the nonleavingface property.
arXiv:1406.0368
with Vincent Pilaud.
European Journal of Combinatorics, accepted.
Dyck path triangulations and extendability.
link,
arXiv:1402.5111
with Arnau Padrol and Camilo Sarmiento.
Journal of Combinatorial Theory, Series A 131, (2015) 187208.
Denominator vectors and compatibility degrees in cluster algebras of finite type.
link,
arXiv:1302.1052
with Vincent Pilaud.
Trans. Amer. Math. Soc. 367, (2015), 14211439.
Extended Abstract (12 pages) in Discrete Math. Theor. Comput. Sci. Proc.
FPSAC 2013
Acyclic systems of permutations and fine mixed subdivisions of simplices.
link,
arXiv:1111.2966
with Federico Ardila.
Discrete and Computational Geometry 49 (3), 2013, 485510.
Realizing the associahedron: Mysteries and questions.
link,
arXiv:1110.4059
with
Günter M. Ziegler.
Associahedra, Tamari Lattices and Related Structures, Tamari Memorial Festschrift,
eds. F. MüllerHoissen, J. Pallo and J. Stasheff,
Progress in Mathematics 299 (Birkhäuser, 2012).
Many nonequivalent realizations of the associahedron.
link,
arXiv:1109.5544
with Francisco Santos
and Günter M. Ziegler.
Combinatorica, 2014. Online first publication 29. Sept. 2014,
DOI: 10.1007/s0049301429599.
Subword complexes, cluster complexes, and generalized multiassociahedra.
link,
arXiv:1108.1776
with JeanPhilippe Labbé
and Christian Stump.
Journal of Algebraic Combinatorics 39 (1), 2014, 1751.
Extended Abstract (12 pages) in Discrete Math. Theor. Comput. Sci. Proc.
FPSAC 2012
On associahedra and related topics
Doctoral Thesis.
pdf,
link
Freie Universität Berlin, Berlin, Germany, 2012
Advisor: Günter M. Ziegler
A combinatorial model for a torus fibration of a K3 surface in the large complex structure
Master Class final Test Problem.
pdf
Universiteit Utrecht, 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
Seminars
Past seminars
Conferences
Teaching
Some Recent Talks
Combinatorics of the zeta map on rational Dyck paths
Coloquio Latino Americano de Algebra, Lima, Peru, December 2014
A Hopf algebra of subword complexes
Coloquio Latino Americano de Algebra, Lima, Peru, December 2014
Subword complexes in algebra, combinatorics, and geometry
Discrete Geometry and Combinatorics Seminar, Cornell University, November 2014
Denominators vectors, Hopf algebras, and multiassociahedra
Hall and Cluster Algebras, Centre de Recherches Mathématiques (CRM), May 2014
Dyck path triangulations and extendability
Combinatorics Seminar, University of Washington, March 2014
Dyck path triangulations and extendability
Applied Algebra Seminar, York University, February 2014
Minicourse: Topics in discrete, tropical and CalabiYau geometry
60th anniversary of the Mathematics Department, Universidad del Valle, Cali, January 2014
Subword complexes in algebra, combinatorics, and geometry
Foro del Departamento, Universidad del Valle, Cali, August 2013
Subword complexes in algebra, combinatorics, and geometry
XIX Colombian Mathematics Conference, Barranquilla, July 2013
Denominator vectors and compatibility degrees in cluster algebras of finite types
FPSAC 2013, Paris, June 2013
Subword complexes in algebra, combinatorics, and geometry
Combinatorics Seminar, University of Minnesota, May 2013
Subword complexes, cluster complexes, and generalized multiassociahedra
AlgebraGeometryCombinatorics Seminar, San Francisco State University, November 2011
Subword complexes, cluster complexes, and generalized multiassociahedra
Algebra and Discrete Mathematics Seminar, UC Davis, November 2011
Subword complexes, cluster complexes, and generalized multiassociahedra
Applied Algebra Seminar, York University, November 2011
Subword complexes, cluster complexes, and generalized multiassociahedra
StudentPostdoc Seminar, CIRGETLaCIM, November 2011
Many nonequivalent realizations of the associahedron
LaCIM Seminar, LaCIM, November 2011
What is tropical geometry?
What is Seminar, Berlin Mathematical School, October 2011
Many nonequivalent 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 CalabiYau
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