This article was accepted into the corpus but its outbound wikilinks were never NER-processed — typical at the deepest BFS hop or when the run's entity cap was reached. No expansion funnel to show.
| Gregory Margulis | |
|---|---|
| Name | Gregory Margulis |
| Birth date | 1946 |
| Birth place | Moscow, Russian SFSR |
| Nationality | Soviet Union → United States |
| Field | Mathematics |
| Known for | Superrigidity, arithmeticity, expander graphs, lattice theory |
| Alma mater | Moscow State University |
| Doctoral advisor | Yakov G. Sinai |
Gregory Margulis
Gregory Margulis is a Soviet-born mathematician specializing in Lie groups, ergodic theory, and discrete subgroups of Lie algebraic groups, notable for foundational results connecting ergodic theory and number theory. His work on superrigidity and the arithmeticity of lattices influenced research across differential geometry, dynamical systems, and combinatorics, with applications impacting the theory of expander graphs and the study of Riemannian manifolds. He received major recognition including the Fields Medal and numerous international awards.
Born in Moscow in 1946, he grew up during the post-World War II era in the Soviet Union and attended secondary schools tied to the Moscow State University feeder programs. He completed undergraduate and graduate studies at Moscow State University, where he studied under Yakov G. Sinai and was influenced by the work of Andrey Kolmogorov, Israel Gelfand, and Ludwig Faddeev. During his formative years he interacted with members of the Steklov Institute of Mathematics community and contemporaries from the Moscow School of Mathematics such as Grigory Margulis’s peers in seminars that included participants connected to Yuri Manin, Sergei Novikov, and Vladimir Arnold.
His early career unfolded within the Soviet Academy of Sciences system, contributing to problems posed by researchers at the Institute for Advanced Study and engaging with international mathematicians from institutions like Princeton University, Harvard University, and the University of Cambridge. He established deep links between techniques from ergodic theory developed by Marcel Ratner and structural results on semisimple Lie groups studied by Armand Borel and Harish-Chandra. His interactions spanned collaborations and intellectual exchange with figures such as Emmanuel Breuillard, Boris O. Vernikov, Misha Gromov, and Peter Sarnak. After emigrating, he held positions associated with Yale University, University of Minnesota, and other research centers tied to the National Science Foundation and international workshops in Paris and Berlin.
He proved the superrigidity theorem for lattices in higher-rank semisimple Lie groups, extending ideas related to Mostow rigidity and influencing the proof of Margulis arithmeticity theorem, which shows that certain irreducible lattices are arithmetic subgroups of algebraic groups over number fields. His work produced constructions of explicit families of expander graphs via quotients of Kazhdan's property (T) groups, relating representation-theoretic gaps studied by David Kazhdan to combinatorial properties used by Alon, Lubotzky, Phillips, and Sarnak. He introduced techniques combining Ratner's theorem style ergodic methods with Kazhdan's property (T), leveraging results from Borel–Harish-Chandra finiteness theorems and the structure theory of parabolic subgroups. His rigidity and arithmeticity results intersect with the classification program of locally symmetric spaces, the study of automorphic forms linked to Langlands program, and applications to coding theory and theoretical computer science via expanders.
He received the Fields Medal for contributions to rigidity and arithmeticity, and was awarded prizes and memberships including election to the National Academy of Sciences, honors from the American Mathematical Society, and recognition from European academies such as the Académie des Sciences and Royal Society. He received honorary lectureships at venues like the International Congress of Mathematicians and was awarded national distinctions tied to the Soviet Union and later to institutions in the United States and France.
He supervised doctoral students who became prominent in areas connected to dynamics, geometric group theory, and number theory, with mentees active at institutions including Massachusetts Institute of Technology, Stanford University, ETH Zurich, and Tel Aviv University. He held faculty and research appointments linked to Moscow State University, the Steklov Institute, and universities in North America and Europe, participating in programs at the Institute for Advanced Study, Mathematical Sciences Research Institute, and collaborative centers such as the European Mathematical Society meetings.
- "Discrete subgroups of semisimple Lie groups", collected works and monographs influential in the study of lattice (group)s and arithmetic groups. - Papers establishing superrigidity and arithmeticity results appearing in leading journals alongside works by Mostow, Kazhdan, and Borel. - Articles constructing explicit expander families with applications to computer science and coding theory.
Category:Mathematicians Category:Fields Medalists Category:People from Moscow