semigroups, geometric group theory, representation theory, self-similar groups (aka automaton groups), profinite groups and random walks on semigroups and groups.
Main publications:
J. Almeida, S. W. Margolis, B. Steinberg and M. V. Volkov, Representation theory of finite semigroups, semigroup radicals and formal language theory, Trans. Amer. Math. Soc. 361 (2009), 1429-1461.
B. Steinberg, Mobius functions and semigroup representation theory II: Character formulas and multiplicities, Adv. in Math. 217 (2008), 1521-1557.
J. Almeida and B. Steinberg Rational codes and free profinite monoids, Journal of the London Math. Soc., to appear.
J. Rhodes and B. Steinberg, Closed subgroups of free profinite monoids are projective profinite groups, Bulletin of the London Math. Soc. 40 (2008), 375-383.
K. Auinger and B. Steinberg, Varieties of finite supersolvable groups with the M. Hall property, Math. Ann. 335 (2006), 853-877.
V. Artamonov, O. Artemovych, Yu. Bahturin, T. Banakh, L. Bartholdi, O. Bezushchak, Ie. Bondarenko, T. Ceccherini-Silberstein, Yu. Drozd, V. Futorny, F. de Giovanni, R. Grigorchuk, W. Holubowski, S. Ivanov, A. Kashu, O. Kharlampovich, E. Khukhro, V. Kirichenko, L. Kurdachenko, Ya. Lavrenyuk, O. Macedońska, A. Myasnikov, T. Nagnibeda, V. Nekrashevych, A. Oliynyk, B. Oliynyk, A. Olshanskii, M. Perestyuk, A. Petravchuk, I. Protasov, N. Romanovskii, D. Savchuk, M. Sapir, M. Semko, I. Shestakov, S. Sidki, B. Steinberg, I. Subbotin, Ya. Sysak, V. Vyshensky, E. Zelmanov, A. Zhuchok, Yu. Zhuchok, “Vitaliy Sushchansky (11.11.1946 – 29.10.2016)”, Algebra Discrete Math., 23:2 (2017), C–F