Golomb Visiting Assistant Professor
Department of Mathematics, Purdue University
I work at the interface of algebraic topology, finite group theory, and combinatorics, with current interests in geometric topology and geometric group theory.
Email · CV (August 2026) · Google Scholar · arXiv · ORCID · GitHub
Preprints
K.I. Piterman. Components in characteristic p and Quillen's conjecture.
Preprint (2026). arXiv:2607.27500.
B. Brück, J. Miller and K.I. Piterman. An analogue of Rognes' connectivity conjecture for free groups.
Submitted (2025). arXiv:2512.19128.
K.I. Piterman, J. Shareshian and V. Welker. Posets of decompositions in spherical buildings.
Submitted (2025). arXiv:2511.22531.
K.I. Piterman and V. Welker. Notes on the topology of independence structures.
Submitted (2025). arXiv:2508.12971.
Recent publications (see all my publications here)
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.
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.
Former research groups