Kevin Iván Piterman
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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
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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
Publications and Preprints
- On the frame complex of symplectic spaces.
Preprint (2023).
arXiv:2305.02940.
- (with L. Vendramin) Algebra with GAP.
Oberwolfach preprint (2023).
Manuscript.
- Maximal subgroups of exceptional groups and Quillen's dimension.
Preprint (2023).
arXiv:2301.02570.
- (with V. Welker) Homotopy properties of the complex of frames of a unitary space.
Preprint (2022).
arXiv:2208.12626.
- (with S.D. Smith) Some results on Quillen's Conjecture via equivalent-poset techniques.
Preprint (2022).
arXiv:2204.13055.
- (with I. Sadofschi Costa) Group actions on contractible 2-complexes II.
Preprint (2021).
arXiv:2102.11459.
- (with S.D. Smith) Eliminating components in Quillen's Conjecture.
J. Algebra 607 (2022), part A, 681--732.
Article.
- An approach to Quillen's conjecture via centralisers of simple groups.
Forum Math. Sigma 9 (2021), Paper No. e48, 23 pp.
Article.
- (with I. Sadofschi Costa and A. Viruel) Acylic 2-dimensional complexes and Quillen's conjecture.
Publ. Mat. 65 (2021), no. 1, 129--140.
Article.
- (with E.G. Minian) The fundamental group of the p-subgroup complex.
J. London Math. Soc. (2) 103 (2021), pp. 449-469.
Article.
- A stronger reformulation of Webb's conjecture in terms of finite topological spaces.
J. Algebra 527 (2019), pp. 280-305. Article.
- (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
- Appendix of Group actions on contractible 2-complexes I by I. Sadofschi Costa. Preprint (2021). arXiv:2102.11458.
- (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
- Posets
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Finite posets and finite topological spaces.
With X. Fernández and I. Sadofschi Costa.
GAP
package (2019). Available at https://github.com/isadofschi/posets.
- Proteins
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Simulation of alternative structures of proteins via linear methods.
Python project (2020). Available at https://github.com/kevin2501/Proteins.
Some talks and conferences
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The frame complex of a vector space with a Hermitian form.
II Encuentro RSME-UMA, Ronda. December, 2022. Slides.
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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.
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El grupo fundamental de los posets de p-subgrupos.
elENA IX. La Falda, Córdoba, Argentina. July 2019. Slides.
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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.
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The homotopy types of the posets of p-subgroups.
Topology Ecuador 2017. Galápagos Science Center, San Cristóbal, Galápagos, Ecuador. August 2017. Slides.
Teaching
- Segundo cuatrimestre 2020 - Topología.
- Primer cuatrimestre 2020 - Probabilidad y estadística (C).
- Segundo cuatrimestre 2019 - Análisis II.
- Primer cuatrimestre 2019 - Probabilidad y estadística (C).
- Segundo cuatrimestre 2018 - Topología.
- Primer cuatrimestre 2018 - Geometría Diferencial.
Personal homepages
- Jonathan Barmak
- Eugenio Borghini
- Ximena Fernández
- Gabriel Minian
- Ivan Sadofschi Costa
- Leandro Vendramín