Kevin Iván Piterman

kevin Postdoctoral researcher
Research group on Algebraic Topology
Facultad de Ciencias Exactas y Naturales
Universidad de Buenos Aires
kpiterman at dm.uba.ar

Research interests: finite topological spaces, posets of p-subgroups, finite group theory, fusion systems, bioinformatics, applied topology.

English version of my PhD thesis (2019).

Link to my Licentiate thesis (2016).

Publications and Preprints

  1. An approach to Quillen's conjecture via centralizers of simple groups.
    Preprint (2020). Link to arXiv.
  2. (with E.G. Minian) The fundamental group of the p-subgroup complex.
    J. London Math. Soc. (2020). To appear. Link to arXiv.
  3. (with I. Sadofschi Costa and A. Viruel) Acylic 2-dimensional complexes and Quillen's conjecture.
    Publicacions Matemàtiques (2019). To appear. Last version.
  4. A stronger reformulation of Webb's conjecture in terms of finite topological spaces.
    J. Algebra 527 (2019) pp. 280-305.
  5. (with E.G. Minian) The homotopy types of the posets of p-subgroups of a finite group.
    Adv. Math. 328 (2018) pp. 1217-1233.

Other publications

  1. (with E.G. Minian) Notas de topología diferencial. Cursos y seminarios de matemática, Serie B, Fascículo 12. Departamento de Matemática, FCEyN, UBA (2017). Link.

Software

  1. Posets - Finite posets and finite topological spaces.
    With X. Fernández and I. Sadofschi Costa.
    GAP package (2019). Available at https://github.com/isadofschi/posets.

Selected talks and conferences

  1. El módulo virtual de Lefschetz para el estudio de puntos fijos y la conjetura de Quillen.
    Encuentro Virtual de Álgebra Homológica. August 2020. Slides and Video link.
  2. El grupo fundamental de los posets de p-subgrupos.
    elENA IX. La Falda, Córdoba, Argentina. July 2019. Slides.
  3. The posets of p-subgroups of a finite group as finite topological spaces.
    XXI Brazilian Topology Meeting. Universidade Federal Fluminense, Niteroi, Rio de Janeiro, Brasil. August 2018. Slides.
  4. The homotopy types of the posets of p-subgroups.
    Topology Ecuador 2017. Galápagos Science Center, San Cristóbal, Galápagos, Ecuador. August 2017. Slides.

Teaching

  1. Ayudante de Primera - Segundo cuatrimestre 2018 - Topología.
  2. Ayudante de Primera - Primer cuatrimestre 2018 - Geometría Diferencial.
  3. Ayudante de Primera - Segundo cuatrimestre 2017 - Cálculo avanzado.
  4. Ayudante de Primera - Primer cuatrimestre 2017 - Análisis II.

Personal homepages

  1. Jonathan Barmak
  2. Eugenio Borghini
  3. Ximena Fernández
  4. Gabriel Minian
  5. Ivan Sadofschi Costa
  6. Leandro Vendramín