[22] Hyperbolic tessellations and generators of K_3 for imaginary quadratic fields
Joint work with David Burns, Rob de Jeu, Herbert Gangl and Dan Yasaki.
Forum of Mathematics, Sigma, Volume 9 , 2021 , e40 (open access). Preprint version on arXiv.
This research project was hosted by the MFO (under the working title Constructing explicit elements in algebraic K-theory).
[21] The distribution of rational numbers on Cantor's middle thirds set
Uniform Distribution Theory, volume 15 (2020), no. 2, pages 73-92(open access). Joint work with Noam Solomon, Tara Trauthwein and Barak Weiss.
Preprint version on the arXiv.
[20] Bianchi's additional symmetries,
in press at Journal of Homotopy and Related Structures, available as "view-online" (without printing or downloading it does not require journal subscription).
The author's accepted manuscript is available on HAL.
[19] Verification of the Quillen conjecture in the rank 2 imaginary quadratic case
Joint work with Bui Anh Tuan. HHA (Homology, Homotopy and Applications),
Volume 22 (2020), Number 2, Pages: 265-278, DOI :http://dx.doi.org/10.4310/HHA.2020.v22.n2.a17.
Preprint version on the arXiv.
[18] The mod 2 cohomology rings of congruence subgroups in the Bianchi groups
Joint work with Ethan Berkove
and Grant Lakeland.
Published in the Journal of Algebraic Combinatorics (JACO), 2019, DOI: https://doi.org/10.1007/s10801-019-00912-8.
Preprint version on HAL.
With an appendix by Tuan Anh Bui and Sebastian Schoennenbeck.
[17] On Ruan's Cohomological Crepant Resolution Conjecture for the complexified Bianchi orbifolds
Joint work with Fabio Perroni.
Algebraic & Geometric Topology 19 (2019), pages 2715-2762, DOI: https://doi.org/10.2140/agt.2019.19.2715.
Preprint versions on orbi.lu and on HAL.
[16] Genuine Bianchi modular forms of higher level, at varying weight and discriminant
Joint work with Panagiotis Tsaknias.
Journal de Théorie des Nombres de Bordeaux,
31 no. 1 (2019), p. 27-48.
Preprint on orbi.lu.
[15] The Farrell-Tate and Bredon homology for PSL_4(Z) via cell subdivisions
Joint work with Tuan Anh Bui and Matthias Wendt, Journal of Pure and Applied Algebra, Volume 223, Issue 7, July 2019, Pages 2872-2888. DOI: 10.1016/j.jpaa.2018.10.002.
Preprint version on HAL.
[14] On Farrell-Tate cohomology of SL_2 over S-integers
Joint work with Matthias Wendt,
Journal of Algebra, Volume 512, 15 October 2018, pages 427-464.
Preprint versions on HAL and on the arxiv.
[13] Equivariant K-homology for hyperbolic reflection groups
Joint work with Jean-Francois Lafont,
Ivonne Ortiz and
Ruben Sanchez-Garcia.
Quarterly Journal of Mathematics, Volume 69, Issue 4, 1 December 2018, Pages 1475-1505. Here are links to the published version, the abstract and the preprint version on arXiv.
[12] On the equivariant K-homology of PSL_2 of the imaginary quadratic integers
Annales de l'Institut Fourier, 66 no. 4 (2016), pages 1667-1689. Preprint version on HAL.
[11] The mod 2 cohomology rings of SL_2 of the imaginary quadratic integers
Joint work with Ethan Berkove.
Journal of Pure and Applied Algebra, volume 220 (2016), no. 3, pages 944-975. With an appendix by Aurel Page. Preprint version on HAL.
[10] A refinement of a conjecture of Quillen
Joint work with Matthias Wendt.
Comptes Rendus Mathématique of the Académie des Sciences - Paris,
volume 353 (2015), no. 9, pages 779-784. Available as a preprint on HAL
.
[9] Accessing the cohomology of discrete groups above their virtual cohomological dimension
Journal of Algebra, volume 404 (2014), pages 152-175.
Preprint versions on HAL and on the arXiv.
[8] Complexifiable characteristic classes,
Journal of Homotopy and Related Structures volume 10 (2015), no. 3, pages 537-548.
The author's submitted manuscript is on HAL and
on the arXiv.
[7] Higher torsion in the Abelianization of the full Bianchi groups
LMS Journal of Computation and Mathematics, Volume 16 (2013), pages 344-365.
A preprint version is on HAL and
on the arXiv.
[6] On level one cuspidal Bianchi modular forms
Joint work with M. Haluk Sengun.
LMS Journal of Computation and Mathematics, Volume 16 (2013), pages 187-199. The manuscript is on HAL and on the arXiv.
[5] On a question of Serre
Published in the Comptes Rendus Mathématique of the Académie des Sciences - Paris.
Preprint versions on HAL and
on the arXiv. In 2019, a corrigendum was published as a 1-page-announcement, with its full text being available on orbi.lu.
[3] Homology and K-theory of the Bianchi groups
- Homologie et K-théorie des groupes de Bianchi
Note bilingue anglais/francais (English with abridged French version),
Comptes Rendus Mathématique of the Académie des Sciences - Paris,
Volume 349, Issues 11-12, June 2011, pages 615-619.
The author's manuscript is
archived on HAL
and
the arXiv.
[2] The integral homology of PSL_2 of imaginary quadratic integers with nontrivial class group
Joint work with Mathias Fuchs.
Journal of Pure and Applied Algebra, DOI: 10.1016/j.jpaa.2010.09.005. The authors' manuscript of this paper will remain freely available
here and on several preprint archives.
[24] Plasmids Shape the Diverse Accessory Resistomes of Escherichia coli ST131
Joint work with Arun G. Decano, Nghia Thi Hieu Tran, Hawriya Al-Foori, Buthaina Al-Awadi, Leigh Campbell, Kevin Ellison, Louisse P. Mirabueno, Maddy Nelson, Shane Power, Genevieve Smith, Cian Smyth, Zoe Vance, Caitriona Woods and Tim Downing.
Published in Access Microbiology,
DOI: https://doi.org/10.1099/acmi.0.000179 .
Preprint version on preprints.org.
[23] Simulation study of the electrical tunneling network conductivity of suspensions of hard spherocylinders
Joint work with Arshia Atashpendar, Sarthak Arora and Tanja Schilling.
Published 18 December 2018 in Physical Review E: volume 98, article 062611, preprint version on arXiv.
- An Introduction to Torsion Subcomplex Reduction
Preprint on HAL.
- On Farrell--Tate cohomology of GL(3) over rings of quadratic integers
Joint work with Bui Anh Tuan and Matthias Wendt.
Preprint on HAL.