Kevin Iván Piterman

kevin Postdoctoral researcher at Philipps-Universität Marburg
Supported by a fellowship of the Alexander von Humboldt Foundation
kpiterman at dm dot uba dot ar
piterman at mathematik dot uni-marburg dot de
CV

Research interests: finite topological spaces, p-subgroup categories, finite group theory, fusion systems, bioinformatics, applied topology.

Research group on Discrete Mathematics and Combinatorics at Philipps-Universität Marburg
Research group on Algebraic Topology at UBA

Dissertations

  1. English version of my PhD thesis (2019).
  2. Spanish version of my Licentiate (Master) thesis (2016).

Publications and Preprints

  1. Maximal subgroups of exceptional groups and Quillen's dimension.
    Preprint (2023). arXiv:2301.02570.
  2. (with V. Welker) Homotopy properties of the complex of frames of a unitary space.
    Preprint (2022). arXiv:2208.12626.
  3. (with S.D. Smith) Some results on Quillen's Conjecture via equivalent-poset techniques.
    Preprint (2022). arXiv:2204.13055.
  4. (with I. Sadofschi Costa) Group actions on contractible 2-complexes II.
    Preprint (2021). arXiv:2102.11459.
  5. (with S.D. Smith) Eliminating components in Quillen's Conjecture.
    J. Algebra 607 (2022), part A, 681--732. Article.
  6. An approach to Quillen's conjecture via centralisers of simple groups.
    Forum Math. Sigma 9 (2021), Paper No. e48, 23 pp. Article.
  7. (with I. Sadofschi Costa and A. Viruel) Acylic 2-dimensional complexes and Quillen's conjecture.
    Publ. Mat. 65 (2021), no. 1, 129--140. Article.
  8. (with E.G. Minian) The fundamental group of the p-subgroup complex.
    J. London Math. Soc. (2) 103 (2021), pp. 449-469. Article.
  9. A stronger reformulation of Webb's conjecture in terms of finite topological spaces.
    J. Algebra 527 (2019), pp. 280-305. Article.
  10. (with E.G. Minian) The homotopy types of the posets of p-subgroups of a finite group.
    Adv. Math. 328 (2018), pp. 1217-1233. Article.

Other publications

  1. Appendix of Group actions on contractible 2-complexes I by I. Sadofschi Costa. Preprint (2021). arXiv:2102.11458.
  2. (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.
  2. Proteins - Simulation of alternative structures of proteins via linear methods.
    Python project (2020). Available at https://github.com/kevin2501/Proteins.

Some talks and conferences

  1. The frame complex of a vector space with a Hermitian form.
    II Encuentro RSME-UMA. Ronda, December 2022. Slides.
  2. On the homotopy type of p-subgroup posets.
    Simple groups, representations and applications. Cambridge, July 2022. Slides.
  3. 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.
  4. El grupo fundamental de los posets de p-subgrupos.
    elENA IX. La Falda, July 2019. Slides.
  5. 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.
  6. The homotopy types of the posets of p-subgroups.
    Topology Ecuador 2017. Galápagos Science Center, San Cristóbal, Galápagos, Ecuador. August 2017. Slides.

Teaching

  1. Segundo cuatrimestre 2020 - Topología.
  2. Primer cuatrimestre 2020 - Probabilidad y estadística (C).
  3. Segundo cuatrimestre 2019 - Análisis II.
  4. Primer cuatrimestre 2019 - Probabilidad y estadística (C).
  5. Segundo cuatrimestre 2018 - Topología.
  6. Primer cuatrimestre 2018 - Geometría Diferencial.

Personal homepages

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