Kevin's website

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 March 2026).

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 Philipps-Universität Marburg.
Research group on Algebraic Topology at the University of Buenos Aires.

Dissertations

English version of my PhD thesis (2019).
Spanish version of my Licentiate (Master's) thesis (2016).

Preprints

B. Brück, J. Miller, and K.I. Piterman. An analogue of Rognes' connectivity conjecture for free groups.
Preprint (2025). arXiv:2512.19128.
K.I. Piterman, J. Shareshian, and V. Welker. Posets of decompositions in spherical buildings.
Preprint (2025). arXiv:2511.22531.
K.I. Piterman, and V. Welker. Notes on the topology of independence structures.
Submitted (2025). arXiv:2508.12971.

Publications

K.I. Piterman, and C. Roelants. On reducible Killing forms for groups of Lie type.
J. Pure Appl. Algebra 230 (2026), no. 4, 108226. Published article. arXiv:2507.17902.
K.I. Piterman. Spherical p-group complexes arising from finite groups of Lie type.
Algebr. Geom. Topol. 26 (2026), no. 2, 791--824. Published article. arXiv:2403.07489.
B. Brück, and K.I. Piterman. Connectivity of partial basis complexes of freely decomposable groups.
Bull. Lond. Math. Soc. 57 (2025), no. 12, 3919--3933. Published article. arXiv:2410.17121.
K.I. Piterman, and I. Sadofschi Costa. Group actions on contractible 2-complexes II.
Invent. Math. 242 (2025), 563--570. Published article. arXiv:2102.11459.
K.I. Piterman, and V. Welker. Posets arising from decompositions of objects in a monoidal category.
Forum Math. Sigma. 13 (2025), Paper No. e123, 51 pp. Published article. arXiv:2401.09280.
B. Brück, K.I. Piterman, and V. Welker. The common basis complex and the partial decomposition poset.
Int. Math. Res. Not. IMRN 2024, no. 18, 12746--12760. Published article. arXiv:2402.10484.
K.I. Piterman, and S.D. Smith. Some results on Quillen's Conjecture via equivalent-poset techniques.
J. Comb. Algebra 9 (2025), no. 3/4, 265--387. Published article. arXiv:2204.13055.
K.I. Piterman, and V. Welker. Homotopy properties of the complex of frames of a unitary space.
J. London Math. Soc. 110 (2024), e12978. Published article. arXiv:2208.12626.
K.I. Piterman. On the frame complex of symplectic spaces.
J. Algebra 642 (2024), 65--94. Published article. arXiv:2305.02940.
K.I. Piterman. Maximal subgroups of exceptional groups and Quillen's dimension.
Algebra Number Theory 18 (2023), no. 7, 1375--1401. Published article. arXiv:2301.02570.
K.I. Piterman, and L. Vendramin. Computer Algebra with GAP.
Oberwolfach preprint (2023). Manuscript.
K.I. Piterman, and S.D. Smith. Eliminating components in Quillen's Conjecture.
J. Algebra 607 (2022), part A, 681--732. Published article. arXiv:2011.04861.
K.I. Piterman. An approach to Quillen's conjecture via centralisers of simple groups.
Forum Math. Sigma 9 (2021), Paper No. e48, 23 pp. Published article. arXiv:2003.06384.
K.I. Piterman, I. Sadofschi Costa, and A. Viruel. Acylic 2-dimensional complexes and Quillen's conjecture.
Publ. Mat. 65 (2021), no. 1, 129--140. Published article. arXiv:1907.02141.
E.G. Minian, and K.I. Piterman. The fundamental group of the p-subgroup complex.
J. London Math. Soc. (2) 103 (2021), 449--469. Published article. arXiv:1903.03549.
K.I. Piterman. A stronger reformulation of Webb's conjecture in terms of finite topological spaces.
J. Algebra 527 (2019), 280--305. Published article. arXiv:1805.09374.
E.G. Minian, and K.I. Piterman. The homotopy types of the posets of p-subgroups of a finite group.
Adv. Math. 328 (2018), 1217--1233. Published article. arXiv:1612.04302.

Other publications

(with E.G. Minian) Notas de topología diferencial. Cursos y seminarios de matemática, Serie B, Fascículo 12. Departamento de Matemática, FCEyN, UBA (2017). Link.

Mentoring

Charlotte Roelants, PhD student at VUB. Co-supervised with Leandro Vendramin since September 2024.

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.

Coauthor homepages

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