Kevin Iván Piterman



Postdoctoral researcher at PhilippsUniversität Marburg
Supported by a fellowship of the Alexander von Humboldt Foundation
kpiterman at dm dot uba dot ar
piterman at mathematik dot unimarburg dot de
Here is my CV (as of May 2024).

Research interests: combinatorial structures in algebra and topology, finite topological spaces, finite group theory, combinatorial methods in geometric group theory.
Research group on Discrete Mathematics and Combinatorics at PhilippsUniversität Marburg
Research group on Algebraic Topology at UBA
Preprints
 Spherical pgroup complexes arising from finite groups of Lie type.
Preprint (2024).
arXiv:2403.07489.
 (with B. Brück and V. Welker) The common basis complex and the partial decomposition poset.
Preprint (2024).
arXiv:2402.10484.
 (with V. Welker) Posets arising from decompositions of objects in a monoidal category.
Preprint (2024).
arXiv:2401.09280.
 (with S.D. Smith) Some results on Quillen's Conjecture via equivalentposet techniques.
Preprint (2022).
arXiv:2204.13055.
 (with I. Sadofschi Costa) Group actions on contractible 2complexes II.
Preprint (2021).
arXiv:2102.11459.
Publications
 (with V. Welker) Homotopy properties of the complex of frames of a unitary space.
J. London Math. Soc. (2024). To appear.
arXiv:2208.12626.
 On the frame complex of symplectic spaces.
J. Algebra 642 (2024), 6594.
Article.
 Maximal subgroups of exceptional groups and Quillen's dimension.
Algebra Number Theory (2023). To appear.
arXiv:2301.02570.
 (with L. Vendramin) Algebra with GAP.
Oberwolfach preprint (2023).
Manuscript.
 (with S.D. Smith) Eliminating components in Quillen's Conjecture.
J. Algebra 607 (2022), part A, 681732.
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 2dimensional complexes and Quillen's conjecture.
Publ. Mat. 65 (2021), no. 1, 129140.
Article.
 (with E.G. Minian) The fundamental group of the psubgroup complex.
J. London Math. Soc. (2) 103 (2021), pp. 449469.
Article.
 A stronger reformulation of Webb's conjecture in terms of finite topological spaces.
J. Algebra 527 (2019), pp. 280305. Article.
 (with E.G. Minian) The homotopy types of the posets of psubgroups of a finite group.
Adv. Math. 328 (2018), pp. 12171233. Article.
Other publications
 Appendix of Group actions on contractible 2complexes 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

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

Simulation of alternative structures of proteins via linear methods.
Python project (2020). Available at https://github.com/kevin2501/Proteins.
Last selected talks

A categorical approach to study posets of decompositions into subobjects.
University of Copenhagen. March, 2024. Slides.

Fixed points on contractible spaces.
Oberwolfach workshop. December, 2023. Slides.

Advances on Quillen's conjecture.
"Northern Group Theory conference in honour of Bernd Fischer", Bielefeld. September, 2023. Slides.

Posets associated to vector spaces with nondegenerate forms.
KTH seminar, Stockholm. April, 2023. Slides.

The frame complex of a vector space with a Hermitian form.
"II Encuentro RSMEUMA", Ronda. December, 2022. Slides.

On the homotopy type of psubgroup posets.
"Simple groups, representations and applications", Isaac Newton Institute (Cambridge). July, 2022. Slides.
Coauthor homepages
 Jonathan Barmak
 Ximena Fernández
 Gabriel Minian
 Stephen D. Smith
 Leandro Vendramin
 Antonio Viruel
 Volkmar Welker