MARCO BARBIERI

I am a postdoctoral researcher at the University of Ljubljana, working under the supervision of Urban Jezernik. I completed my PhD at the University of Pavia under the guidance of Pablo Spiga, focusing on the asymptotic structure of automorphism groups of connected graphs.

My current work explores the asymptotic and probabilistic aspects of algebraic structures, especially permutation groups. I am particularly interested in problems at the intersection of finite group theory, additive combinatorics, and algebraic graph theory.

What did I write?

Diameter bounds for simple Lie algebras with U. Jezernik and M. Miščič, arXiv:2509.15351
Separating subsets from their images with M. Lekše, P. Potočnik and K. Rekvényi, arXiv:2508.20731
Flexible 3-valent graphs of even girth with A. Zozaya, arXiv:2508.16289
Quasirandom and quasisimple groups
with L. Sabatini, Discrete Analysis, 2025: 21, 24 pp.
Elementary proof of the diameter bounds for power graphs
with K. Rekvényi, arXiv:2411.055429, accepted for publication in Bulletin of the Australian Mathemathical Society
On the order of semiregular automorphisms of cubic vertex-transitive graphs
with V. Grazian and P. Spiga, European Journal of Combinatorics, 124 p.104091 (2025)
On the number of generators of groups acting arc-transitively on graphs
with P. Spiga, Australasian Journal of Combinatorics, 90(2) pp.187-198 (2024)
On derangements and suborbits in finite transitive groups
with P. Spiga, Discrete Mathematics, 347 p.114032 (2024)
Vertex-primitive digraphs with large fixity
with P. Potočnik, Annali di Matematica Pura ed Applicata, 203 pp.2383-2403 (2024)
On the number of fixed edges of automorphisms of vertex-transitive graphs of small valency
with V. Grazian and P. Spiga, Journal of Algebraic Combinatorics, 57 pp.329-348 (2023)
On the Cayleyness of Praeger-Xu graphs
with V. Grazian and P. Spiga, Bulletin of Australian Mathematical Society, 106(3) pp.353-356 (2022)

Can I give you some other interesting links?

I am organizer of the Al@Bicocca seminars, and of the GABY 2026 conference.
If you care about symmetries in graphs, here is my PhD thesis

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