Publications

Preprints

1. K.I. Piterman. Components in characteristic p and Quillen's conjecture.
   Preprint (2026). arXiv:2607.27500.

2. B. Brück, J. Miller and K.I. Piterman. An analogue of Rognes' connectivity conjecture for free groups.
   Submitted (2025). arXiv:2512.19128.

3. K.I. Piterman, J. Shareshian and V. Welker. Posets of decompositions in spherical buildings.
   Submitted (2025). arXiv:2511.22531.

4. K.I. Piterman and V. Welker. Notes on the topology of independence structures.
   Submitted (2025). arXiv:2508.12971.

Published articles

1. 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.

2. 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.

3. 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.

4. 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.

5. 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.

6. 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.

7. 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.

8. 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.

9. K.I. Piterman. On the frame complex of symplectic spaces.
   J. Algebra 642 (2024), 65–94. Published article. arXiv:2305.02940.

10. K.I. Piterman. Maximal subgroups of exceptional groups and Quillen's dimension.
    Algebra Number Theory 18 (2024), no. 7, 1375–1401. Published article. arXiv:2301.02570.

11. 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.

12. 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. 

13. K.I. Piterman, I. Sadofschi Costa and A. Viruel. Acyclic 2-dimensional complexes and Quillen's conjecture.
    Publ. Mat. 65 (2021), no. 1, 129–140. Published article. arXiv:1907.02141.

14. 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.

15. 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.

16. 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.

Dissertations

1. English version of my PhD thesis (2019, University of Buenos Aires).
   Supervisor: Elías Gabriel Minian.

2. Spanish version of my Licentiate (Master's) thesis (2016, University of Buenos Aires).
   Supervisor: Elías Gabriel Minian.

Other publications

1. Group actions on compact contractible complexes. Oberwolfach Rep. 23 (2026), no. 1, 583–585. Link.

2. On Quillen’s conjecture. Oberwolfach Rep. 22 (2025), no. 1, 721–724. Link.

3. Fixed points on contractible spaces. Oberwolfach Rep. 20 (2023), no. 4, 3291–3292. Link.

4. K.I. Piterman and L. Vendramin. Computer Algebra with GAP. Oberwolfach preprint (2023). Link.

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