- On finiteness properties of the Johnson filtrations, with Sue He,
submitted. Revised July, 2017.
Here is an earlier version of the above paper which contains additional results on finite generation of the third and higher terms of the Johnson filtrations. Those results are not included in the submitted version and will be published elsewhere.
- Property (T) for Kac-Moody groups over rings, with Ashley Rall,
Journal of Algebra
- Property (T) for groups graded by root systems,
Memoirs of the American Mathematical Society, 249 (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.