[7] From September 1999 to June 2003, Dmitry Dolgopyat served as an Assistant Professor at Penn State University.

[11] He has also served on the editorial boards of the Journal of Modern Dynamics, Nonlinearity, Ergodic Theory and Dynamical Systems, Annales Henri Poincaré, and the Journal of the American Mathematical Society, as well as on the Prize Committee of the International Bolyai Prize Committee.

[13] In 2020, he was elected a foreign member of the Academia Europaea - a pan-European Academy of Humanities, Letters, Law, and Sciences.

[15] In 2009, Dmitry Dolgopyat received the Annales Henri Poincaré Prize for the article Unbounded Orbits for Semicircular Outer Billiard[16] coauthored with Bassam Fayad.

[25] Other longer mini-courses included DANCE (Dynamics, Attractors, Nonlinearity, Chaos & Stability) Winter School in Murcia, Spain, Program on Hyperbolic Dynamics in Vienna, School on Dynamics & Complexity at the University of the Republic (Uruguay),[26] Special trimester on dynamical systems in Pisa, Dynamics Beyond Uniform Hyperbolicity in Evanston, with shorter visits to Manchester University, United Kingdom, Centro de Investigacion en Matematicas, Guanajuato, Mexico, Hebrew University, Jerusalem, Israel, Newton Institute, Cambridge, United Kingdom, Instituto de Matematica Pura e Aplicada, Rio de Janeiro, Brazil, Northwestern University, Evanston, Illinois, Scuola Normale, Pisa, Ecole Polytechnique, ETH, Zurich, IAS, Princeton, CalTech, Research Institute for Mathematical Sciences, Kyoto, Institut Henri Poincaré, Paris, Erwin Schroedinger Institute, Vienna, Centre International de Rencontres Mathématiques, Luminy, France, University of Toronto/ Fields Institute, University of Bristol, EPFL, Lausanne, Switzerland, Weizmann institute, Israel, Institute for Computational and Experimental Research in Mathematics, Providence, RI.