Most of my papers and preprints are available from the mathematics arXiv. The versions at the arXiv may have minor differences with the published articles but are essentially the same. Reviews of my publications can be found at Zentralblatt and MathSciNet (subscription required). Some of the papers are written in collaboration with G. Gromadzki, G. Jones, W. T. Gan, A. Lubotzky, J. Ellenberg, A. Venkatesh, I. Agol, P. Storm, K. Whyte, T. Gelander, and A. Shalev. I am currently working on a joint project with Alex Lubotzky which is devoted to the study of distribution of lattices in semisimple Lie groups with respect to a given Haar measure on the group -- the problem which is sometimes refered to as 'density of topologies'. The starting point for this research is provided by the previous work of D. Goldfeld, A. Lubotzky, N. Nikolov and L. Pyber on subgroup growth of lattices and my recent result on counting maximal arithmetic subgroups. Another ongoing project is our joint interest with Paul Gunnells in understanding Kazhdan-Lusztig cells of the hyperbolic Coxeter groups. Experimental data related to this project is available from Paul's website.
The picture below reproduces Klein's original drawing of the tessellation of the hyperbolic plane related to his famous quartic curve x3y + y3z + z3x = 0. The link under the picture refers to one of my favourite books dedicated to this fascinating object.
