2015 NSW Premier’s Prize for Excellence in Mathematics, Earth Sciences, Chemistry and Physics.
2012 Humboldt Research Award (Senior), German prize for international scientists
2012 Eureka Prize for Scientific Research (Australia)
1983 Lenin Komsomol Prize (highest USSR prize for young scientists with age limit 33).
2009 Lyle Medal (Australian Academy of Science, for research in Mathematical and Physical Sciences)
2009 Boas Medal (Australian Institute of Physics)
2002 Centenary Medal (Australia).
1981 SD USSR Academy of Science award.
1974 Award for best student research work, all-USSR competition.
2016-2018 Gutenberg Fellowship, Germany, with 357 000 Euro= $ 537 000 research grant.
2017 Joint Institute for Laboratory Astrophysics Visiting Fellowship (USA)
2005-2007 Argonne Fellowship (USA).
2003-2004 Member, Institute for Advanced Study, Princeton
1998 Princeton University (Visiting Fellow)
1996 Harvard University (Visiting Fellow and leader of the topical group on violation of the fundamental symmetries at the Institute for Theoretical Atomic and Molecular Theory)
1990-1991 Joint Institute for Laboratory Astrophysics (Visiting Fellow)
2000- Fellow of Australian Academy of Science
2010- Fellow of American Physical Society(less than 0.5% of members elected Fellows per year)
2017- Fellow of the Institute of Physics, UK
2013- Fellow of Royal Society NSW
2013- Member, The Foundation Questions Institute