• Diameter bounds for finite simple Lie algebras (with Marco Barbieri, Matevž Miščič) 

preprint (2025) [arxiv, code]

• Additive diameters of group representations (with Špela Špenko) 

preprint (2025) [arxiv, slides]

• Random Lie bracket on sl2(Fp) (with Matevž Miščič) 

Random Structures & Algorithms (2025) [arxiv]

• Two-generation of traceless matrices over finite fields (with Omer Cantor, Andoni Zozaya)

Linear Algebra and its Applications (2025) [journal, arxiv]

• Irrationality of generic quotient varieties via Bogomolov multipliers (with Jonatan Sánchez) 

International Mathematics Research Notices (2023) [journal, arxiv, video, slides]

• Babai's conjecture for high-rank classical groups with random generators (with Sean Eberhard) 

Inventiones Mathematicae (2022) [journal, arxiv, video, slides]

• On surjectivity of word maps on PSL2 (with Jonatan Sánchez) 

Journal of Algebra (2021) [journal, arxiv, code]

• Gaps in probabilities of satisfying some commutator-like identities (with Costantino Delizia, Primož Moravec, Chiara Nicotera) 

Israel Journal of Mathematics (2020) [journal, arxiv]

• Bogomolov multipliers of p-groups of maximal class (with Gustavo Adolfo Fernandez-Alcober) 

The Quarterly Journal of Mathematics (2020) [journal, arxiv]

• Commuting probability (expository, in Slovenian) 

Obzornik za matematiko in fiziko (2018) [journal, pdf]

• Commutativity preserving extensions of groups (with Primož Moravec) 

Proceedings of the Royal Society of Edinburgh Section A (2018) [journal, arxiv]

• Groups in which every non-abelian subgroup is self-normalized (with Costantino Delizia, Primož Moravec, Chiara Nicotera) 

Monatshefte fur Mathematik (2018) [journal, arxiv]

• Groups in which every non-nilpotent subgroup is self-normalizing (with Costantino Delizia, Primož Moravec, Chiara Nicotera) 

Ars Mathematica Contemporanea (2018) [journal, arxiv]

• Units of group rings, the Bogomolov multiplier, and the fake degree conjecture (with Javier Garcia-Rodriguez, Andrei Jaikin-Zapirain) 

Mathematical Proceedings of the Cambridge Philosophical Society (2017) [journal, arxiv]

• Locally finite groups in which every non-cyclic subgroup is self-centralizing (with Costantino Delizia, Primož Moravec, Chiara Nicotera, Chris Parker) 

Journal of Pure and Applied Algebra (2017) [journal, arxiv]

• Universal commutator relations, Bogomolov multipliers, and commuting probability (with Primož Moravec) 

Journal of Algebra (2015) [journal, arxiv]

• Groups in which every non-cyclic subgroup contains its centralizer (with Costantino Delizia, Primož Moravec, Chiara Nicotera) 

Journal of Algebra and Its Applications (2014) [journal, arxiv]

• Bogomolov multipliers of groups of order 128 (with Primož Moravec) 

Experimental Mathematics (2014) [journal, arxiv]

• Schur multipliers of unitriangular groups 

Journal of Algebra (2014) [journal, arxiv]

• Universal Commutator Relations (PhD thesis) 

University of Ljubljana (2016) [repozitorij, pdf]

• Present and future 

Workshop on Group Theory at CSASC 2026

Reading group

Spectral Theory Seminar

• Past

Spectral Gaps 2025

Mathematics in Ljubljana (2023, 2024, 2025)

Groups and Topological Groups 2025

Young Geometric Group Theory VIII (2019)

GTA: Gran Bilbao 2019

Computational group theory with GAP (2018)

• 2025/26 

Linear algebra

Representation theory

• Past 

Expander graphs

Discrete structures

Elementary number theory

Group theory

Computer tools in mathematics

• BSc

Matevž Miščič: Shuffling by random transpositions (2022)

Tim Milanez: Walks with random permutations (2022)

Matej Cerar: Diameter of the group SL2(Fp) (2022)

Jaša Knap: Short group laws (2024)

Timotej Mlakar: Algebraic signal processing theory and spectral analysis algorithms (2025)

• MSc

Saša Trstenjak: The Hasse principle (2022)

Barbara Bone: Sets of integers without three-term arithmetic progressions (2024)

Filip Rus: Calculating digits of pi (2024) [Franc Močnik award]

Tadej Petrič: Ramanujan graphs (2025)

Miloš Puđa: Local permutation stability of groups (2025)

Gašper Terglav: Property (T) for Aut(F5) (2025)

• PhD

Matevž Miščič (2024—)

• Postdoc

Andoni Zozaya (2023—2025)

Marco Barbieri (2025—)

• ARIS research project Rapid random generation of Lie algebras J1-50001(2023)

• Honorary plaque for young university professors at the University of Ljubljana (2023)

• Paper on Babai's conjecture awarded Top 10 most outstanding research achievements of the University of Ljubljana (2021) [video]

• Marie Skłodowska-Curie Individual Fellowship BogomolovMultiplier (2017)

• Reinhold Baer Prize for outstanding PhD thesis in group theory (2017)