He worked as a professor of mathematics at the
Hebrew University, becoming head of the department (1994–1996). He has been a visiting professor at the
Institute for Advanced Study in
Princeton,
Stanford, and the
University of Chicago, with visits at
Columbia,
Yale,
NYU and
ETH Zurich. Lubotzky holds a Maurice and Clara Weil Chair in mathematics at the
Einstein Institute of Mathematics of the
Hebrew University of Jerusalem. He is known for contributions to
geometric group theory, the study of lattices in
Lie groups, representation theory of discrete groups and
Kazhdan's property (T), the study of
subgroup growth and applications of group theory to
combinatorics and
computer science (
expander graphs) and
error correcting codes. Lubotzky received the
Erdős Prize in 1990. In the years 1994–1996 Lubotzky was the chairman of Einstein Institute of Mathematics at the
Hebrew University of Jerusalem. In 1992 Lubotzky was a recipient of the
Sunyer i Balaguer Prize from the Institut d'Estudis Catalans for his book "Discrete Groups Expanding Graphs and Invariant Measures" and again in 2002 with
Dan Segal for their book "Subgroup Growth". In 2002 he has received the
Rothschild Prize in mathematics. Lubotzky is listed as an
ISI highly cited researcher in mathematics since 2003. Lubotzky was elected a foreign member of the
American Academy of Arts and Sciences in 2005. In 2005-6 He led in the
Institute for Advanced Study in
Princeton a year long program on "Pro-finite groups and the congruence subgroup problem". In 2006, he got an honorary degree from the
University of Chicago for his contribution to Modern
mathematics. In 2008 Lubotzky received the
European Research Council (ERC) advanced grant for exceptional established research leaders. In 2011 Lubotzky was chosen to be the keynote speaker at the joint meeting of the
American Mathematical Society (AMS) and the
Mathematical Association of America (MAA) in New Orleans. Lubotzky's keynote address in front of the conference's 6,000 attendees marked the first time that an Israeli was the keynote speaker at one of these conferences. In 2012 he was a visiting researcher at
Microsoft Research Center. In 2021 he became a professor at the
Weizmann Institute of Science. ==Political career==