In 1993–2013 Rector of the Moscow Institute for Advanced Studies of Educators, after the transformation, the Moscow Institute of Open Education – a state university.
In 2013–2016 Rector of Moscow State Pedagogical University (known also as Lenin Pedagogical University). From 2015 to the present time – Director of Axel Berg Institute of Cybernetics and Educational Computing, FRC CSC, from 2018 to the present time - Head of the Department of Mathematical Logic and Algorithm Theory of Lomonosov Moscow State University. Academician of the Russian Academy of Sciences (since 2011), academician of the Russian Academy of Education (since 2010), laureate of the UNESCO Prize, Prizes of the President and Government of the Russian Federation, Prizes named after A. N. Kolmogorov.
Chairman of the scientific and methodological council for state final examination (GIA) in mathematics, initiator of the return to GIA of the traditions of Russian mathematical education, member of the scientific and methodical council of GIA in computer science.