Preprints

  • On groups that can be covered by conjugates of finitely many cyclic or procyclic subgroups, with Yiftach Barnea, Rachel Camina and Mark L. Lewis, pdf
    submitted. Posted January, 2023.

    Published papers

  • Effective finite generation for [IA_n, IA_n] and the Johnson kernel, with Daniel Franz, pdf
    Groups, Geometry and Dynamics, 2023, no. 17(4), 1149-1192

  • On the second cohomology of the norm one group of a $p$-adic division algebra, with an appendix by Mikhail Ershov and Thomas Weigel, pdf
    Michigan Mathematical Journal, 2022, no. 72, 261-330

  • On finite generation of the Johnson filtrations, with Thomas Church and Andrew Putman, pdf
    Journal of the European Mathematical Sociery, 2022, no. 24(8), 2875-2914

  • On finiteness properties of the Johnson filtrations, with Sue He, pdf
    Duke Mathematical Journal, 2018, no. 167(9), 1713-1759

  • Property (T) for Kac-Moody groups over rings, with Ashley Rall, pdf
    Journal of Algebra , 2018, no. 500, 221-241

  • Property (T) for groups graded by root systems, with Andrei Jaikin-Zapirain and Martin Kassabov, pdf
    Memoirs of the American Mathematical Society, 2017, no. 1186, vii+141 pp.

  • Kazhdan groups whose FC-radical is not virtually abelian, pdf
    Journal of Combinatorial Algebra, 2017, no. 1(1), 59-62

  • The Tarski numbers of groups, with Gili Golan and Mark Sapir, pdf
    Advances in Mathematics , 2015, no. 284, 21-53

  • Groups graded by root systems and property (T), with Andrei Jaikin-Zapirain, Martin Kassabov and Zezhou Zhang pdf
    Proceedings of the National Academy of Sciences , 2014, no. 111(50), 17759-17764

  • The first $L^2$-Betti number and approximation in arbitrary characteristic, with Wolfgang Lück, pdf
    Documenta Mathematica , 2014, no. 19, 313-331

  • Groups of positive weighted deficiency and their applications, with Andrei Jaikin-Zapirain, pdf
    Journal fur die reine und angewandte Mathematik , 2013, no. 677, 71-134

  • Golod-Shafarevich groups: a survey, pdf
    International Journal of Algebra and Computation , 2012, no. 22(5), 68 pages

  • 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.