Coming soon:

15. Hereditarily just infinite groups: a survey. In preparation.

14. (with B. Klopsch and D. Veronelli) Random subgroups in direct products of hereditarily just infinite groups. In preparation.

Published papers:

13. (with P. Shumyatski) Commuting and product-zero probability in finite rings. 5 pages. Journal. Preprint. Int. J. Algebra and Comp., 2024.

12. (with G. Corob-Cook and S. Kionke) Weil zeta functions of group representations over finite fields. 43 pages. Preprint. To appear in Selecta Math., 2024.

11. (with G. Corob-Cook and S. Kionke) Counting irreducible modules for profinite groups. 48 pages. Rev. Mat. Iberoam. 39 (2023), no. 4, pp. 1519–1566. Journal. Preprint. 

10. (with C. Quadrelli and I. Snopche) Pro-p groups with quadratic cohomology and generalised p-RAAGs. 55 pages. J. of Algebra 612 (2022), 636-690, Journal. Preprint.

9. (with G. Corob-Cook) Probabilistic finiteness properties of profinite groups. 33 pages, J. of Algebra 574 (2021), 584-616. Journal. Preprint. 

8. (with G.A. Fernandez-Alcober and S. Gul) On the asymptotic behaviour of the number of Beauville and non-Beauville p-groups. 21 pages, Proc. LMS 120 (2020), no. 2, 220-241. Journal. Preprint.

7. (with A. Babai, K. Fathalikhani and G. A. Fernandez-Alcober) On self-similar finite p-groups. 10 pages, Groups, Geom. Dyn. 14 (2020), no. 2, 337-348. Journal. Preprint.

6. (with Y. Barnea) On hereditarily just infinite profinite groups with complete Hausdorff dimension spectrum. 8 pages, Journal of algebra and its applications 18 (2019), vol. 11. Journal. Preprint.

5. (with S. Kionke) Positively finitely related profinite groups. 24 pages, Isr. J. Math. 225 (2018), no. 2, 743–770. Journal. Preprint.

4. (with B. Klopsch) The lower rank of direct products of hereditarily just infinite groups. 5 pages, Glasgow Math. Journal 60 (2018), no. 1, 225–230. Journal. Preprint.

3. (with B. Klopsch) Embedding properties of hereditarily just infinite profinite wreath products. 12 pages, J. Algebra 476 (2017), 297–310. Journal. Preprint.

2. On hereditarily just infinite profinite groups obtained via iterated wreath products. J. Group Theory 19 (2016), no. 2, 233–238. Journal. Preprint.

1. Finite generation of iterated wreath products in product action. Arch. Math. (Basel) 105 (2015), no. 3, 205–214. Journal. Preprint.

Other publications:

1. M. Vannacci. Probabilitatea eta taldeak. EKAIA, 2024. Available here. (in Basque)

2. M. Vannacci. Matematika orokorra I. UPV/EHU Argitaletxea. ISSN 2603-8900. (In Basque). Available here.