- 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.