Geometry Publications

Publications

The galaxy of Coxeter groups (joint with Petra Schwer), J. Algebra, 2023, in press. (arXiv:2211.17038; journal)
The Sigma invariants for the golden mean Thompson group (joint with Lewis Molyneux and Brita Nucinkis), preprint, 2023. (arXiv:2309.12213)
Thompson-like groups, Reidemeister numbers, and fixed points (joint with Paula Macedo Lins de Araujo and Altair Santos de Oliveira-Tosti), Geom. Dedicata, vol. 217, 2023. (journal; open access)
Twisted conjugacy in soluble arithmetic groups (joint with Paula Macedo Lins de Araujo), preprint, 2023. (arXiv:2007.02988v2)

On the finiteness length of some soluble linear groups, Canad. J. Math., vol. 74, no. 5, 2022. (journal; arXiv:1901.06704)
On the top-dimensional cohomology of arithmetic Chevalley groups (joint with Benjamin Brück and Robin J. Sroka), preprint, 2022. (arXiv:2210.12784)
Split-braid-merge diagrams, 3-manifolds, and conjugacy in a braided Thompson group (joint with Kai-Uwe Bux), preprint, 2022. (Talk at World of GroupCraft; Oberwolfach Report)
Canonical decompositions and algorithmic recognition of spatial graphs (joint with Stefan Friedl, Lars Munser and José Pedro Quintanilha), preprint, 2021. (arXiv:2105.06905)
Reidemeister numbers for arithmetic Borel subgroups in type A (joint with Paula Macedo Lins de Araujo), preprint, 2020. (arXiv:2306.02936; Oberwolfach Report)
Presentations of parabolics in some elementary Chevalley--Demazure groups, preprint, 2018. (arXiv:1801.05320)
Formalization in PVS of balancing properties necessary for proving security of the Dolev--Yao cascade protocol model (joint with Maurício Ayala-Rincón), J. Formaliz. Reason., vol. 6, no. 1, 2013, 31--61. (journal; full PVS theory: PVS 5.n, PVS 6.0)

Arithmetic groups and Reidemeister classes, extended abstract, in: "Geometric structures in group theory" [Bridson, M., Druțu, C., Kramer, L., Rémy, B., Schwer, P. (orgs.)], Oberwolfach Rep., vol 17, no. 2 / 3, 2020, 900--903. (journal)
Finiteness properties of split extensions of linear groups, PhD thesis, Universität Bielefeld, Bielefeld, 2019. (DOI:10.4119/unibi/2937569)
Spraiges, 3-manifolds, and conjugacy for a braided Thompson group, extended abstract, in: "Cohomological and metric properties of groups of homeomorphism of R" [Burillo, J., Bux, K.-U., Nucinkis, B. E. A. (orgs.)], Oberwolfach Rep., vol. 15, no. 2, 2018, 1594--1598. (journal)
A desigualdade de Golod--Šafarevič para grupos pro-p e grupos abstratos, Master's dissertation, Unicamp, Campinas, 2014. (DOI:10.47749/T/UNICAMP.2014.932005, in Portuguese)
Vivências matemáticas (joint with Paula Macedo Lins de Araujo and Mauro Luiz Rabelo), in: Anais do II EnaPETMAT, pp. 7, Universidade Federal do Goiás (UFG), Goiânia, 2010. (pdf, in Portuguese)