At Moscow State University he initially worked in the fields of algebraic geometry and topology, and derived what is now known as Gamkrelidze's formula.[4] In 1954 he began his work on optimal control. He wrote Mathematical Theory of Optimal Processes with Pontryagin, Boltyanskii and Mishchenko. This work was awarded the State Lenin Prize for Science and Technology in 1962.[5][6] Gamkrelidze is the founding editor of Encyclopedia of Mathematical Sciences.[7]
R.V. Gamkrelidze (1978). Principles of Optimal Control Theory. Translated from Russian original published by Tbilisi University Press, Tbilisi. New York: Plenum Press.[8]MR0686792
^ abGuram Kharatishvili, Memoirs on Differential Equations and Mathematical Physics, "Revaz Gamkrelidze is 70", Razmadze Mathematical Institute, 19973-7,11[1]
^Computation of Chern cycles of Algebraic Manifolds. (Russian). Dokl. Nauk. SSSR 90(1953), No.4 719-722
^Pontryagin, Boltyanskii, Gamkrelidze, Mishchenko, The Mathematical Theory of Optimal Processes, Authorized translation from the Russian, translated by K.N. Trirogoff, Interscience Publishers, 1962