that includes the Littlewood conjecture. Selected publications Books Discrete subgroups of semisimple Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], 17. Springer-Verlag, Berlin, 1991. x+388 pp. On some aspects of the theory of Anosov systems. With a survey by Richard Sharp: Periodic orbits of hyperbolic flows. Translated from the Russian by Valentina Vladimirovna Szulikowska. Springer-Verlag, Berlin, 2004. vi+139 pp. Lectures Oppenheim conjecture. Fields Medallists' lectures, 272–327, World Sci. Ser. 20th Century Math., 5, World Sci. Publ., River Edge, NJ, 1997 Dynamical and ergodic properties of subgroup actions on homogeneous spaces with applications to number theory. Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), 193–215, Math. Soc. Japan, Tokyo, 1991 Papers Explicit group-theoretic constructions of combinatorial schemes and their applications in the construction of expanders and concentrators. (Russian) Problemy Peredachi Informatsii 24 (1988), no. 1, 51–60; translation in Problems Inform. Transmission 24 (1988), no. 1, 39–46 Arithmeticity of the irreducible lattices in the semisimple groups of rank greater than 1, Invent. Math. 76 (1984), no. 1, 93–120 Some remarks on invariant means, Monatsh. Math. 90 (1980), no. 3, 233–235 Arithmeticity of nonuniform lattices in weakly noncompact groups. (Russian) Funkcional. Anal. i Prilozen. 9 (1975), no. 1, 35–44 Arithmetic properties of discrete groups, Russian Math. Surveys 29 (1974) 107–165 References Further reading 1978 Fields Medal citation. External links 21st-century Russian mathematicians Members of the United States National Academy of Sciences Fellows of the American Mathematical Society Institute for Advanced Study visiting scholars Soviet mathematicians Russian Jews American people of Russian-Jewish descent Fields Medalists Moscow State University alumni Yale University faculty Wolf Prize in Mathematics laureates Mathematicians from Moscow 1946 births Living people International Mathematical Olympiad participants Dynamical systems theorists Abel Prize laureates