- Effective finite generation for [IA_n, IA_n] and the Johnson kernel, with Daniel Franz,
submitted. Revised January, 2021.
Published and accepted papers
- 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
accepted by Michigan Mathematical Journal.
Revised March, 2022.
- On finite generation of the Johnson filtrations, with Thomas Church and Andrew Putman,
accepted by Journal of the European Mathematical Sociery.
Revised January, 2021.
- On finiteness properties of the Johnson filtrations, with Sue He,
Duke Mathematical Journal,
2018, no. 167(9), 1713-1759
- Property (T) for Kac-Moody groups over rings, with Ashley Rall,
Journal of Algebra , 2018, no. 500, 221-241
- Property (T) for groups graded by root systems,
Memoirs of the American Mathematical Society, 2017, no. 1186, vii+141 pp.
- Kazhdan groups whose FC-radical is not virtually abelian,
Journal of Combinatorial Algebra,
2017, no. 1(1), 59-62
- The Tarski numbers of groups,
with Gili Golan and
Advances in Mathematics ,
2015, no. 284, 21-53
- Groups graded by root systems and property (T),
Martin Kassabov and Zezhou Zhang
Proceedings of the National Academy of Sciences , 2014, no. 111(50), 17759-17764
- The first $L^2$-Betti number and approximation in arbitrary characteristic,
Documenta Mathematica ,
2014, no. 19, 313-331
- Groups of positive weighted deficiency and their applications, with Andrei Jaikin-Zapirain,
Journal fur die reine und angewandte Mathematik , 2013, no. 677, 71-134
- Golod-Shafarevich groups: a survey,
International Journal of Algebra and Computation
, 2012, no. 22(5), 68 pages
- Abstract commensurators of profinite groups, with
Yiftach Barnea and
Transactions of the American Mathematical Society 2011, no.363(9), 5381-5417
- Kazhdan quotients of Golod-Shafarevich groups, with appendices by
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 ,
Groups, Geometry and Dynamics 2011, no.5(2), 327-353
- On the commensurator of the Nottingham group,
Transactions of the American Mathematical Society 2010, no.362(12), 6663-6678
- Property (T) for noncommutative universal lattices, with
Andrei Jaikin-Zapirain ,
Inventiones Mathematicae 2010, no.179(2), 303-347
- Golod-Shafarevich groups with property (T) and Kac-Moody groups,
Duke Mathematical Journal 2008, no.145(2), 309-339
- Abstract simplicity of complete Kac-Moody groups over finite fields,
with Lisa Carbone and
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.
- On the second cohomology of the norm one group of a $p$-adic division algebra,
preprint. Revised March, 2008.