After school, Lubotzky did his IDF national service as a captain officer in a special intelligence and communication unit.

[citation needed] Lubotzky married Yardenna (daughter of Murray Roston), a lecturer in Art History and English, in 1980.

[3] In the years 1994–1996 Lubotzky was the chairman of Einstein Institute of Mathematics at the Hebrew University of Jerusalem.

[6] 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".

He was actively involved in setting up a solution to the conversion bill crisis via the Ne'eman Commission, working to avoid a conflict between Israel and the Jewish Diaspora.

Lubotzky also co-drafted a comprehensive proposal for a new covenant for religion-state affairs in Israel with MK Yossi Beilin.

[13] Lubotzky gave a Plenary lecture in the 2018 International Congress of Mathematicians at Rio de Janeiro, Brazil.

[17] Lubotzky gave a Plenary lecture in the 2018 International Congress of Mathematicians at Rio de Janeiro, Brazil.