Anatoly Borisovich Katok (Russian: Анатолий Борисович Каток; August 9, 1944 – April 30, 2018) was an American mathematician with Russian-Jewish[1] origins.

[3][4][5] Anatole Katok graduated from Moscow State University, from which he received his master's degree in 1965 and PhD in 1968 (with a thesis on "Applications of the Method of Approximation of Dynamical Systems by Periodic Transformations to Ergodic Theory" under Yakov Sinai).

This theory helped to solve some problems that went back to von Neumann and Kolmogorov, and won the prize of the Moscow Mathematical Society in 1967.

[3][5] Katok's collaboration with his former student Boris Hasselblatt resulted in the book Introduction to the Modern Theory of Dynamical Systems, published by Cambridge University Press in 1995.

[5] In 1983 he was an invited speaker at the International Congress of Mathematicians in Warsaw (his talk was titled "Nonuniform hyperbolicity and structure of smooth dynamical systems").