Urban Jezernik
Department of Mathematics
Faculty of Mathematics and Physics
University of Ljubljana
urban.jezernik AT fmf.uni-lj.si
I am a faculty member of the Faculty of Mathematics and Physics at the University of Ljubljana in Slovenia.
From 2019 to 2021 I was a postdoctoral fellow at the Alfréd Rényi Institute of Mathematics in Budapest working in the research group of László Pyber. From 2017 to 2019 I was a Marie Skłodowska-Curie postdoctoral fellow at the University of the Basque Country in the GTA research group. I completed my PhD in 2016 at the University of Ljubljana under the supervision of Primož Moravec. During my graduate studies I spent a semester at the University of Toronto visiting Sanja Fidler and Raquel Urtasun, and I spent a year at the Institute of Mathematical Sciences ICMAT in Madrid visiting Andrei Jaikin-Zapirain.
Publications
Two-generation of traceless matrices over finite fields (with Andoni Zozaya) preprint [arxiv]
Irrationality of generic quotient varieties via Bogomolov multipliers (with Jonatan Sánchez) IMRN (2023) [arxiv]
Babai's conjecture for high-rank classical groups with random generators (with Sean Eberhard) Invent. Math. 227 (2022) [arxiv]
On surjectivity of word maps on PSL2 (with Jonatan Sánchez) J. Algebra 587 (2021) [arxiv, code]
Gaps in probabilities of satisfying some commutator-like identities (with Costantino Delizia, Primož Moravec, Chiara Nicotera) Israel J. Math. 237 (2020) [arxiv]
Bogomolov multipliers of p-groups of maximal class (with Gustavo Adolfo Fernandez-Alcober) Q. J. Math. 71 (2020) [arxiv]
Commuting probability (expository, in Slovenian) Obz. mat. fiz. 65 (2018) [pdf]
Commutativity preserving extensions of groups (with Primož Moravec) Proc. Roy. Soc. Edinburgh Sect. A. 148 (2018) [arxiv]
Groups in which every non-abelian subgroup is self-normalized (with Costantino Delizia, Primož Moravec, Chiara Nicotera) Monatsh. Math. 185 (2018) [arxiv]
Groups in which every non-nilpotent subgroup is self-normalizing (with Costantino Delizia, Primož Moravec, Chiara Nicotera) Ars Math. Contemp. 15 (2018) [arxiv]
Units of group rings, the Bogomolov multiplier, and the fake degree conjecture (with Javier Garcia-Rodriguez, Andrei Jaikin-Zapirain) Math. Proc. Camb. Phil. Soc. 163 (2017) [arxiv]
Locally finite groups in which every non-cyclic subgroup is self-centralizing (with Costantino Delizia, Primož Moravec, Chiara Nicotera, Chris Parker) J. Pure Appl. Algebra 221 (2017) [arxiv]
Universal commutator relations, Bogomolov multipliers, and commuting probability (with Primož Moravec) J. Algebra 428 (2015) [arxiv]
Groups in which every non-cyclic subgroup contains its centralizer (with Costantino Delizia, Primož Moravec, Chiara Nicotera) J. Algebra Appl. 13 (2014) [arxiv]
Bogomolov multipliers of groups of order 128 (with Primož Moravec) Exp. Math. 23 (2014) [arxiv]
Schur multipliers of unitriangular groups J. Algebra 399 (2014) [arxiv]
Universal Commutator Relations (PhD thesis) University of Ljubljana (2016) [pdf]