Courses

Current courses at Sergio Arboleda University.

Cursos

Cursos este semestre en la Universidad Sergio Arboleda.

Análisis I

Análisis I es fundamental para entender los conceptos utilizados en topología, geometría diferencial, análisis complejo, y demás tópicos avanzados que un matemático debe estar preparado para trabajar tanto en el área de investigación, como en la docencia.

Partially ordered sets

The notion of order is a fundamental idea that is pervasive across almost every subject in mathematics. The formal study of partially ordered sets (posets) can be traced back to the nineteenth century but it had its major development in the twentieth century after the work of Birkhoff, among others, in lattice theory; Weisner, Hall and Ward in the theory of Möbius functions; and the seminal work of Gian-Carlo Rota in 1964 that gave the foundation to what is known today as poset topology, a field that studies interactions between poset theory, topology, algebra and enumeration.

Research

Investigación

Preprints and publications.

Preimpresiones y publicaciones.

  1. C. Ceballos, R. S. González D'León. Signature Catalan Combinatorics.
    Arxiv 1805.03863.

  2. R. S. González D'León, J. Hallam. The Whitney duals of a graded poset.
    Arxiv 1803.03151.

  3. C. Benedetti, R. S. González D'León, C. R. H. Hanusa, P. E. Harris, A. Khare, A. H. Morales, M. Yip. A combinatorial model for computing volumes of flow polytopes.
    Arxiv 1801.07684.

  4. R. S. González D'León. A family of symmetric functions associated with Stirling permutations.
    Arxiv 1506.01628.

  5. R. S. González D'León, J. Hallam. Whitney labelings and 0-Hecke algebra actions on graded posets.
    Proceedings of FPSAC 2018

  6. C. Benedetti, R. S. González D'León, C. R. H. Hanusa, P. E. Harris, A. Khare, A. H. Morales, M. Yip. The volume of the caracol polytope.
    Proceedings of FPSAC 2018

  7. R. S. González D'León. The colored symmetric and exterior algebras.
    J. Algebra 496 (2018), 187–215.

  8. R. S. González D'León, J. Hallam. Whitney duals of geometric lattices.
    Sém. Lothar. Combin. 78B (2017), Art. 82, 12 pp.

  9. R. S. González D'León. A note on the γ-coefficients of the tree Eulerian polynomial.
    Electron. J. Combin. Volume 23, Issue 1 (2016).

  10. R. S. González D'León, M. L. Wachs. On the (co)homology of the poset of weighted partitions.
    Trans. Amer. Math. Soc. 368 (2016) 6779-6818.

  11. R. S. González D'León. On the free Lie algebra with multiple brackets.
    Adv. Appl. Math. 79 (2016) 37-97.

  12. P. Brändén, R. S. González D'León. On the half-plane property and the Tutte-group of a matroid.
    J. Combin. Theory Ser. B. 100 - 2010.

  13. R. S. González D'León, M. L. Wachs. On the poset of weighted partitions.
    DMTCS Proceedings 01 (2013) 1029-1040.

  14. R. S. González D'León. The colored symmetric and exterior algebras (extended abstract).
    Proceedings of FPSAC 2016.

  15. R. S. González D'León. Ph.D. Thesis - On the combinatorics of the free Lie algebra with multiple brackets.
    University of Miami, June 2014.

  16. R. S. González D'León. Master Thesis - Representing matroids by polynomials with the half-plane property.
    Kungliga Tekniska Högskolan, May 2009.

Activities

Actividades

Upcoming conferences and meetings.

Próximas conferencias y encuentros.

Co3

Comunidad Colombiana de Combinatoria.

ECCO

Encuentro Colombiano de Combinatoria

DIAS

Días de Combinatoria

SeSaCo

Seminario Sabanero de Combinatoria

Contact

Contacto

Rafael S. González D'León

Docente Investigador

Programa de Matemáticas
Escuela de Ciencias Exactas e Ingeniería
Universidad Sergio Arboleda
Calle 74 # 14-14 Bogotá, Colombia
Email: rafael.gonzalezl at usa.edu.co