miklos.abert at renyi.mta.hu

MTA Alfréd Rényi Institute of Mathematics
Reáltanoda utca 13-15.
H-1053 Budapest,

Research interest

I am interested in measured and asymptotic group theory, in particular spectral theory of graphs and groups, local sampling convergence, graph polynomials, stochastic processes on groups, rank gradient, invariant random subgroups, homology growth, sofic entropy, cellular automata and locally symmetric spaces.

'Invariant random subgroups and their applications', Asymptotic properties of infinite groups, 28 March 2014, Institute Henri Poincaré, Paris: VIDEO and FILE

'Graph convergence, Lück approximation mod p and the entropy of cellular automata', Growth, symbolic dynamics and combinatorics of words in groups, June 2, 2015, ENS, Paris: VIDEO

Recent work

M. Abért, T. Gelander and N. Nikolov, Rank, combinatorial cost and homology torsion growth in higher rank lattices [PDF]

M. Abért, A Spectral Strong Approximation theorem for measure preserving actions [PDF]

M. Abért, A. Thom and B. Virág, Benjamini-Schramm convergence and pointwise convergence of the spectral measure [PDF]

M. Abért, P. Csikvári and T. Hubai, Matching measure, Benjamini--Schramm convergence and the monomer-dimer free energy [PDF]

M. Abért, P. Csikvári, P. Frenkel and G. Kun, Matchings in Benjamini-Schramm convergent graph sequences [PDF]

Talks and events

Generalized cohomology, Feb 8-13, 2015, Sde Boker, Israel

Frontiers in analysis and probability, Feb 19-20, 2015, Strasbourg, France

Asymptotic invariants of groups, Apr 13-17, 2015, CMI, Oxford, United Kingdom

Growth, symbolic dynamics and combinatorics of words in groups, June 1-6, 2015, ENS, Paris

Groups, Graphs and Stochastic Processes, June 21-26, 2015, Banff Research Center (organizing with Omer Angel and Bálint Virág)

Geometric group theory, July 13-17, 2015, CIRM, Marseille, France

Asymptotic group theory, Aug 17-21, 2015, Renyi Institute, Budapest, Hungary (organizing with Laci Pyber)

Manifolds and Groups, Sep 7-12, 2015, Ventotene, Italy

Statistical physics on transitive graphs, Oct 4 - 10, 2015, CIB, Lausanne, Switzerland

Ergodic theory, fractals and groups, Oct 11-15, 2015, IAS Jerusalem, Israel

ESI Programme in Measured Group Theory, 18 Jan - 18 March, 2016, ESI, Viena, Austria (organizing with Goulnara Arzhantseva, Damien Gaboriau, Thomas Schick and Andreas Thom)

Seminar Algebra, Geometrie und Kombinatorik, 14 April, 2016, Technische Universitat Dresden, Germany

Algebra seminar, 1 June, 2016, University of Oxford, UK

Combinatorics seminar, 2 June, 2016, University of Cambridge, UK

Colloquium, 3 June, 2016, University of Warwick, UK

Measured group theory, 28 Aug - 3 September, 2016, MFO, Oberwolfach, Germany (organizing with Damien Gaboriau and Andreas Thom)

New directions in L2-invariants, 4 - 7 October, 2016, HIM, Bonn, Germany

Algorithms, Logic and Structure, 12 - 14 December, 2016, University of Warwick, UK

Groups and Topological Groups, 3 - 4 January, 2017, Renyi Institute, Budapest, Hungary

Spring School on analysis on groups and measured group theory, 3 - 7 April, 2017, Northwestern University, Chicago, US

Groups, Manifolds and K-theory, 5 - 9 June, 2017, Münster, Germany

Summer school Graph limits, groups and stochastic processes, 28 August - 2 September, 2017, Renyi Institute, Budapest, Hungary (organizing with László Lovász, Balázs Szegedy and Bálint Virág)

Elegance in Probability, a conference in honor of Russ Lyons's 60th birthday, 3 - 7 September, 2017, Tel Aviv University, Israel

Entropies and soficity, 15 - 19 January, 2018, Universite de Lyon, France

Borel combinatorics and ergodic theory, 5 - 9 February, 2018, Lausanne, Switzerland

Thematic program L2-invariants and their analogues in positive characteristic, 19 February - 5 June, 2018, Instituto de Ciencias Matemáticas, Madrid, Spain

Approximation Properties in Operator Algebras and Ergodic Theory, 30 April - 5 May, 2018, UCLA, US

ERC Consolidator Research Group

Starting in 2015, I am leading the ERC Consolidator Grant "Asymptotic invariants of discrete groups, sparse graphs and locally symmetric spaces" research group. Homepage of the group.

A postdoctoral position is open, starting September 2018 or before. See Postdoctoral position for details.

Open questions

This is a list of questions that I am interested in [PDF]. Many of them belong to other people (when I think I know the source, I name it) and some are purely speculative. It may make sense to contact me before putting a lot of work in one of them as it may have been solved (last update: Nov 2, 2010). Good luck with them.