Preprints
- On the second cohomology of the norm one group of a $p$-adic division algebra,
pdf
preprint. Revised March, 2008.
Submitted papers
- Kazhdan quotients of Golod-Shafarevich groups, with appendices by
Andrei Jaikin-Zapirain,
pdf ,
submitted. Revised September, 2009.
Accepted papers
- Abstract commensurators of profinite groups, with
Yiftach Barnea and
Thomas Weigel,
pdf
accepted by
Transactions of the Americal Mathematical Society
- On the commensurator of the Nottingham group,
pdf
accepted by
Transactions of the Americal Mathematical Society
Published papers
- 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.