Cesar Ceballos

I am a postdoctoral researcher in the Faculty of Mathematics at the University of Vienna.
I am associated to the combinatorics group of Christian Krattenthaler as a research member of the Special Research Programme Algorithmic and Enumerative Combinatorics, financed by the Austrian Science Foundation FWF.

My previous positions include: I got my PhD in 2012 under the supervision of Günter M. Ziegler in the Discrete Geometry Group at the Freie Universität Berlin.

address:
Fakultät für Mathematik
Universität Wien
Oskar-Morgenstern-Platz 1
A-1090 Vienna
Austria

Office: 01.134
Tel.: (+43) (1) 427750443
Email: cesar.ceballos@univie.ac.at


University of Vienna

Research

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Publications

Seminars

Teaching

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CV


Research interests


Grants



Publications and preprints

  1. Geometry of v-Tamari lattices in types A and B. arXiv:1611.09794
    with Arnau Padrol and Camilo Sarmiento.

  2. The configuration space of a robotic arm in a tunnel. arXiv:1608.04800
    with Federico Ardila, Hanner Bastidas, and John Guo.
    Submitted.
    Accompanying software and demos.

  3. Cluster algebras of type D4, tropical planes, and the positive tropical Grassmannian. link, arXiv:1511.02699
    with Sarah Brodsky and Jean-Philippe Labbé.
    J. Beitr Algebra Geom 58 (2017), 25-46.

  4. A Hopf algebra of subword complexes. link, arXiv:1508.01465, extended abstract
    with Nantel Bergeron.
    Advances in Mathematics 305 (2017), 1163-1201.

  5. Combinatorics of the zeta map on rational Dyck paths. link, arXiv:1504.06383, slides
    with Tom Denton and Christopher Hanusa.
    J. Combin. Theory Ser. A 141 (2016), 33-77.

  6. Cluster algebras of type D: pseudotriangulations approach. link, arXiv:1504.06377
    with Vincent Pilaud.
    Electron. J. Combin. 22 (2015), no. 4, Paper 4.44, 27 pp.

  7. Fan realizations of type A subword complexes and multi-associahedra of rank 3. link, arXiv:1404.7380, extended abstract
    with Nantel Bergeron and Jean-Philippe Labbé.
    Discrete and Computational Geometry 54 (2015), no. 1, 195-231.

  8. The diameter of type D associahedra and the non-leaving-face property. link, arXiv:1406.0368
    with Vincent Pilaud.
    European Journal of Combinatorics 51 (2016), 109-124.

  9. Dyck path triangulations and extendability. link, arXiv:1402.5111, extended abstract
    with Arnau Padrol and Camilo Sarmiento.
    Journal of Combinatorial Theory, Series A 131, (2015) 187-208.

  10. Denominator vectors and compatibility degrees in cluster algebras of finite type. link, arXiv:1302.1052, extended abstract
    with Vincent Pilaud.
    Trans. Amer. Math. Soc. 367, (2015), 1421-1439.

  11. Acyclic systems of permutations and fine mixed subdivisions of simplices. link, arXiv:1111.2966
    with Federico Ardila.
    Discrete and Computational Geometry 49 (3), 2013, 485-510.

  12. 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. Müller-Hoissen, J. Pallo and J. Stasheff,
    Progress in Mathematics 299 (Birkhäuser, 2012).

  13. Many non-equivalent realizations of the associahedron. link, arXiv:1109.5544
    with Francisco Santos and Günter M. Ziegler.
    Combinatorica 35 (2015), no. 5, 513-551.

  14. Subword complexes, cluster complexes, and generalized multi-associahedra. link, arXiv:1108.1776, extended abstract
    with Jean-Philippe Labbé and Christian Stump.
    Journal of Algebraic Combinatorics 39 (1), 2014, 17-51.

Conference Proceedings:

  1. Tropical Catalan Subdivisions. Extended Abstract (6 pages).
    with Arnau Padrol and Camilo Sarmiento.
    Electronic Notes in Discrete Mathematics (to appear). Proceedings of the Discrete Mathematics Days conference, Barcelona, 6-8 July 2016.

  2. The configuration space of a robotic arm in a tunnel of width 2. Extended Abstract (12 pages).
    with Federico Ardila, Hanner Bastidas, and John Guo.
    Discrete Math. Theor. Comput. Sci. Proc. FPSAC 2016

  3. A Hopf algebra of subword complexes (extended abstract). Extended Abstract (12 pages).
    with Nantel Bergeron.
    Discrete Math. Theor. Comput. Sci. Proc. FPSAC 2016

  4. Fan realizations of type A subword complexes and multi-associahedra of rank 3. Extended Abstract (12 pages).
    with Nantel Bergeron and Jean-Philippe Labbé.
    Discrete Math. Theor. Comput. Sci. Proc. FPSAC 2015

  5. Diameters and geodesic properties of generalizations of the associahedron. Extended Abstract (12 pages).
    with Thibault Manneville, Vincent Pilaud, and Lionel Pournin.
    Discrete Math. Theor. Comput. Sci. Proc. FPSAC 2015

  6. Dyck path triangulations and extendability (extended abstract). Extended Abstract (12 pages).
    with Arnau Padrol and Camilo Sarmiento.
    Discrete Math. Theor. Comput. Sci. Proc. FPSAC 2015

  7. Denominator vectors and compatibility degrees in cluster algebras of finite type. Extended Abstract (12 pages).
    with Vincent Pilaud.
    Discrete Math. Theor. Comput. Sci. Proc. FPSAC 2013

  8. Multi-cluster complexes. Extended Abstract (12 pages).
    with Jean-Philippe Labbé and Christian Stump.
    Discrete Math. Theor. Comput. Sci. Proc. FPSAC 2012.

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Some Recent Talks