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

Research interests: finite topological spaces, p-subgroup categories, finite group theory, combinatorial methods in geometric group theory.

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).

Preprints

  1. Spherical p-group complexes arising from finite groups of Lie type.
    Preprint (2024). arXiv:2403.07489.
  2. (with B. Brück and V. Welker) The common basis complex and the partial decomposition poset.
    Preprint (2024). arXiv:2402.10484.
  3. (with V. Welker) Posets arising from decompositions of objects in a monoidal category.
    Preprint (2024). arXiv:2401.09280.
  4. (with S.D. Smith) Some results on Quillen's Conjecture via equivalent-poset techniques.
    Preprint (2022). arXiv:2204.13055.
  5. (with I. Sadofschi Costa) Group actions on contractible 2-complexes II.
    Preprint (2021). arXiv:2102.11459.

Publications

  1. (with V. Welker) Homotopy properties of the complex of frames of a unitary space.
    J. London Math. Soc. (2024). To appear. arXiv:2208.12626.
  2. On the frame complex of symplectic spaces.
    J. Algebra 642 (2024), 65--94. Article.
  3. Maximal subgroups of exceptional groups and Quillen's dimension.
    Algebra Number Theory (2023). To appear. arXiv:2301.02570.
  4. (with L. Vendramin) Algebra with GAP.
    Oberwolfach preprint (2023). Manuscript.
  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. 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.
  3. El grupo fundamental de los posets de p-subgrupos.
    elENA IX. La Falda, Córdoba, Argentina. July 2019. Slides.
  4. 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.
  5. 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