Peer-reviewed publications in theoretical mathematics:

[24] On Farrell--Tate cohomology of GL(3) over rings of quadratic integers
Joint work with Bui Anh Tuan and Matthias Wendt. Journal of Algebra, Volume 615, 1 February 2023, Pages 328-357. DOI : 10.1016/j.jalgebra.2022.09.027. Preprint version on HAL.

[23] An Introduction to Torsion Subcomplex Reduction
Advanced Studies: Euro-Tbilisi Mathematical Journal Special Issue (9 - 2021), pages 105-126, Tbilisi Centre for Mathematical Sciences. Preprint version on HAL.

[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. Accepted for publication in Forum of Mathematics, Sigma. 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.

[4] The homological torsion of PSL_2 of the imaginary quadratic integers
Transactions of the AMS, volume 365 (2013), pages 1603-1635. The author's manuscript is available on the archive HAL of the CNRS .

[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.

[1] The subgroup measuring the defect of the Abelianization of SL_2(Z[i]),
published in the Journal of Homotopy and Related Structures. The author's manuscript is on HAL.




  Peer-reviewed publications involving topological data analysis:

[28] Bacterial plasmid-associated and chromosomal proteins have fundamentally different properties in protein interaction networks
Joint work with Tim Downing. Scientific Reports Volume 12, 19203 (2022). DOI: 10.1038/s41598-022-20809-0. Preprint version on bioRxiv: 2022.04.29.490008.

[27] Informing plasmid compatibility with bacterial hosts using protein-protein interaction data
Joint work with Tim Downing, Min Jie Lee, Conor Archbold, Adam McDonnell. Genomics Volume 114, Issue 6, November 2022, 110509 DOI: 10.1016/j.ygeno.2022.110509. Preprint version on bioRxiv: 2022.07.12.499728.

[26] 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. Access Microbiology Volume 3, Issue 1, DOI: https://doi.org/10.1099/acmi.0.000179 . Preprint version on preprints.org.

[25] Simulation study of the electrical tunneling network conductivity of suspensions of hard spherocylinders
Joint work with Arshia Atashpendar, Sarthak Arora and Tanja Schilling. Physical Review E volume 98 (2018), article 062611, DOI: 10.1103/PhysRevE.98.062611, preprint version on arXiv.



  Theses:

- Réduction de sous-complexes de torsion --- Torsion Subcomplex Reduction
My Habilitation à Diriger des Recherches (HDR) thesis was defended at Université Pierre et Marie Curie, Paris, on June 8th, 2017. It is available here.

- (Co)homologies et K-théorie de groupes de Bianchi par des modèles géométriques calculatoires
My PhD thesis was defended October 15th, 2010, at Université de Grenoble. It is archived on the server TEL of the CNRS.
The intensive computations award C3I has been attributed to this PhD thesis.

  Preprints:

Dung Phuong Phan, Tuan Anh Bui, Alexander D. Rahm. Computations regarding the torsion homology of Oeljeklaus-Toma manifolds. 2024. hal-04619504

  Not peer-reviewed publication:

- Report on the MFO Workshop Computations in the Cohomology of Arithmetic Groups
Edited as reporter for the Mathematisches Forschungsinstitut Oberwolfach (MFO), with presentation summaries contributed by Renaud Coulangeon, Rob de Jeu, Mathieu Dutour-Sikiric, Graham Ellis, David J. Green, Paul E. Gunnells, Günter Harder, Hans-Werner Henn, Kevin Hutchinson, Jean Lannes, Gabriele Nebe, Alexander D. Rahm, Sebastian Schönnenbeck and Dan Yasaki. The report contains a section on open problems in the cohomology of arithmetic groups, and can be downloaded directly from the MFO.


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