Preprints

  • Property (T) for groups graded by root systems, with Andrei Jaikin-Zapirain and Martin Kassabov, pdf
    preprint. Revised February, 2011.

  • Kazhdan groups whose FC-radical is not virtually abelian, pdf
    preprint. Posted July, 2010.

  • On the second cohomology of the norm one group of a $p$-adic division algebra, pdf
    preprint. Revised March, 2008.

    Accepted papers

  • Golod-Shafarevich groups: a survey, pdf
    accepted by International Journal of Algebra and Computation Revised April, 2012.

  • Groups of positive weighted deficiency and their applications, with Andrei Jaikin-Zapirain, pdf
    accepted by Journal fur die reine und angewandte Mathematik .

    Published papers

  • Abstract commensurators of profinite groups, with Yiftach Barnea and Thomas Weigel, pdf
    Transactions of the American Mathematical Society 2011, no.363(9), 5381-5417

  • Kazhdan quotients of Golod-Shafarevich groups, with appendices by Andrei Jaikin-Zapirain, pdf ,
    Proceedings of the London Mathematical Society 2011, no.102(4), 599-636

  • The congruence subgroup property for Aut F_2: A group-theoretic proof of Asada's theorem, with Kai-Uwe Bux and Andrei Rapinchuk , pdf
    Groups, Geometry and Dynamics 2011, no.5(2), 327-353

  • On the commensurator of the Nottingham group, pdf
    Transactions of the American Mathematical Society 2010, no.362(12), 6663-6678

  • Property (T) for noncommutative universal lattices, with Andrei Jaikin-Zapirain , pdf
    Inventiones Mathematicae 2010, no.179(2), 303-347

  • Golod-Shafarevich groups with property (T) and Kac-Moody groups, pdf
    Duke Mathematical Journal 2008, no.145(2), 309-339

  • Abstract simplicity of complete Kac-Moody groups over finite fields, with Lisa Carbone and Gordon Ritter, pdf,
    Journal of Pure and Applied Algebra 2008, no. 212(10), 2147-2162

  • Finite presentability of $SL_1(D)$, pdf
    Israel Journal of Mathematics 2007, no. 158, 297-347

  • On subgroups of the Nottingham group of positive Hausdorff dimension, pdf
    Communications in Algebra 2007, no. 35(1), 193-206

  • The Nottingham group is finitely presented, pdf
    Journal of the London Mathematical Society 2005, no. 71(2), 362-378.

  • New just-infinite pro-$p$ groups of finite width and subgroups of the Nottingham group, pdf
    Journal of Algebra 2004, no. 275(1), 419-449.

  • On distortion of subsemigroups,
    Moscow Univ. Bull. 1999, no. 4, 56-58.