Kevin Iván Piterman



Postdoctoral researcher at Vrije Universiteit Brussel
Supported by a fellowship of FWO (Fonds Wetenschappelijk Onderzoek)
kevin # piterman at vub # be, and replace # by a [dot]
Here is my CV (as of September 2024).

Research interests: combinatorial structures in algebra and topology, finite topological spaces, finite group theory, combinatorial methods in geometric group theory.
Algebra and Analysis
research group at the Vrije Universiteit Brussel.
Research group on Discrete Mathematics and Combinatorics at the PhilippsUniversität Marburg.
Research group on Algebraic Topology at the University of Buenos Aires.
Preprints
 Spherical pgroup complexes arising from finite groups of Lie type.
Preprint (2024).
arXiv:2403.07489.
 (with V. Welker) Posets arising from decompositions of objects in a monoidal category.
Preprint (2024).
arXiv:2401.09280.
 (with I. Sadofschi Costa) Group actions on contractible 2complexes II.
Preprint (2021).
arXiv:2102.11459.
Publications
 (with B. Brück and V. Welker) The common basis complex and the partial decomposition poset.
Int. Math. Res. Not. (2024), rnae177.
Article.
 (with S.D. Smith) Some results on Quillen's Conjecture via equivalentposet techniques.
J. Comb. Algebra. In press (2024).
Article.
 (with V. Welker) Homotopy properties of the complex of frames of a unitary space.
J. London Math. Soc. 110 (2024), e12978.
Article.
 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 18 (2023), no. 7, 1375–1401.
Article.
 (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.
 FASTPASC

From Algebraic Structures To Posets And Simplicial Complexes.
GAP
package (2024). Available at https://github.com/kpiterman/FASTPASC.
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