Topological Groups

Amenability, Optimal Transport and General Mean Ergodic Theorems, pdf.

Finite conjugacy classes and split exact cochain complexes, pdf.

Geometries of topological groups,  Bull. Amer. Math. Soc. (N.S.) 60 (2023), no. 4, 539–568, pdf.

Continuity of universally measurable homomorphisms, Forum of Mathematics, Pi (2019), Vol. 7, e5, 20 pages, pdf.

Light groups of isomorphisms of Banach spaces and invariant LUR renormings, (joint with L. Antunes, V. Ferenczi and S. Grivaux), Pacific J. Math., Vol. 301 (2019), No. 1, 31–54, pdf. 

Coarse equivalence and topological couplings of locally compact groups (joint with U. Bader), Geometriae Dedicata 196 (2018), 1-9, pdf file; online published version.

Lipschitz structure and minimal metrics on topological groups, Arkiv för matematik, Vol. 56, No. 1 (2018), pp. 185-206, pdf.

Equivariant geometry of Banach spaces and topological groups, Forum of Mathematics, Sigma, (2017), Vol. 5, e22, 62 pages, pdf.

Large scale geometry of homeomorphism groups (joint with K. Mann), Ergodic Theory and Dynamical Systems 38 (2018), no. 7, 2748-2779, pdf.

Non-unitarisable representations and maximal symmetry (joint with V. Ferenczi), J. Inst. Math. Jussieu, Volume 16, Issue 2 April 2017, pp. 421-445 pdf .

On the cohomology of weakly almost periodic group representations, (joint with U. Bader and R. Sauer), J. Topology and Analysis 6 (2014), no. 2, 153–165 pdf. (An earlier version in a more geometric language can be found here.)

Global and local boundedness of Polish groups, Indiana Univ. Math. J. 62 (2013), no. 5, 1621-1678 pdf.

On isometry groups and maximal symmetry, (joint with V. Ferenczi) Duke Math. J. 162 (2013), no. 10, 1771-1831, pdf.

Displaying Polish groups on separable Banach spaces, (joint with V. Ferenczi) Extracta Mathematicae 26 (2011), no. 2, 195-233, pdf.

Finitely approximable groups and actions. Part 2: Generic representations, J. Symbolic Logic 76 (2011), no. 4, 1307-1321, pdf.

Finitely approximable groups and actions. Part 1: The Ribes-Zalesskii property, J. Symbolic Logic 76 (2011), no. 4, 1297-1306, pdf.

Completely metrisable groups acting on trees, J. Symbolic Logic 76 (2011), no. 3, 1005-1022, pdf.

Universally measurable subgroups of countable index J. Symbolic Logic 75 (2010), no. 3, 1081-1086, pdf.

Automatic continuity of group homomorphisms. Bull. Symbolic Logic 15 (2009), no. 2, 184-214, pdf.

The generic isometry and measure preserving homeomorphism are conjugate to their powers. Fundamenta Mathematicae 205 (2009), no. 1, 1-27, pdf.

On the algebraic structure of the unitary group, (joint with E. Ricard) Collect. Math. 58 (2007), no. 2, 181-192, pdf.

Automatic continuity in homeomorphism groups of compact 2-manifolds, Israel Journal of Math. 166 (2008), 349-367, pdf.

A topological version of the Bergman property. Forum Mathematicum 21 (2009), no. 2, 299-332, pdf.

Automatic continuity of homomorphisms and fixed points on metric compacta, (joint with S. Solecki), Israel Journal of Math. 162 (2007), 349-371, pdf.

Turbulence, amalgamation and generic automorphisms of homogeneous structures, (joint with A. S. Kechris), Proc. London Math. Soc. 94 (2007), no. 2, 302-350, pdf.

On the non-existence of certain group topologies. Fundamenta Mathematicae 187 (2005), 213-228, pdf.