- International Prize of the city of Gioacchino da Fiore for his work with numerical infinities and infinitesimals, 2023 (see this video)
- International Constantin Carathéodory Prize for achievements in the field of global optimization, 2023 (see this press release)
- The ICNAAM Research Excellence Award for outstanding contributions in the field of Numerical Analysis and Applied Mathematics, 2023
- The 21st International Conference of Numerical Analysis and Applied Mathematics, Crete, Greece, was dedicated to achievements and the 60th birthday of Prof. Sergeyev, 2023
- Khwarizmi International Award, 2017
- Pythagoras International Prize in Mathematics (Premio Internazionale Pitagora per la Matematica), Italy, 2010
- Highly cited author in Scopus, 2020, 2021
- Included in the list Top Italian Scientists, Mathematics, by the rating VIA Academy, 2020
- Included in the list Top Italian Computer Scientists by the rating Gate2research, 2020
- Distinguished Lecturer, Lancaster University, UK, 2020
- Corresponding Member of the Italian Accademia Peloritana dei Pericolanti, elected in 2020
- Outstanding reviewer for international journals “Mathematics and Computers in Simulation” and “Expert Systems with Applications”, Elsevier, 2018
- Honored Worker of the Educational Sphere of the Russian Federation, the Ministry of Education and Science of the Russian Federation, 2017
- Management Lecture, Department of Management, Ca’ Foscari University, Venice, Italy, 2017
- EUROPT Fellow, 2016
- Outstanding reviewer for the international journal “Applied Mathematics and Computation”, Elsevier, 2016
- Honorary Fellowship, the highest distinction of the European Society of Computational Methods in Sciences, Engineering and Technology, 2015
- The Journal of Global Optimization Best Paper Award for the article R. Paulavicius, Ya.D. Sergeyev, D.E. Kvasov, J. Zilinskas, Globally-biased DISIMPL algorithm for expensive global optimization, Journal of Global Optimization, 2014, volume 59, pages 545-567.
- Achievement Award from the World Congress in Computer Science, Computer Engineering, and Applied Computing, USA, 2015
- In the annual national competition “University Book” in Russia in the nomination “The best translation” the winner is the book G. Lolli, “Filosofia della matematica: L’eredità del Novecento” translated in Russian from Italian by A.L. Sochkov and S.M. Antakov under the scientific supervision of Ya.D. Sergeyev, 2015
- Letter of Commendation from The Ministry of Education and Science of the Russian Federation, 2014
- Degree of Honorary Doctor, Glushkov Institute of Cybernetics of The National Academy of Sciences of Ukraine, Kiev, 2013
- Laureate of Applied Development and Research Competition in the field of Computer Technology “Computing Continuum: from Idea to Implementation” for the project “High accuracy computations on the Infinity Computer”, Intel Corporation and “Skolkovo” Innovation Center Development Fund, Russia, 2012
- Outstanding Achievement Award from the 2010 World Congress in Computer Science, Computer Engineering, and Applied Computing, USA, 2010
- Lagrange Lecture, Turin University, 2010
- Honorary plate from the Engineering Faculty of the Dokuz Eylul University, Izmir, Turkey, 2009
- MAIK “Nauka/Interperiodica” Prize for the best scientific monograph published in 2008 awarded for the book Sergeyev Ya.D., Kvasov D.E. Diagonal global optimization methods, Fizmatlit, Moscow, 352 pp., (in Russian). The prize is awarded by the Russian Academy of Sciences and Pleiades Publishing, Inc. (USA)
- Award of the Russian Foundation of Basic Research for the popular scientific article “Global optimization and the Lipschitz condition” co-authored with D.E. Kvasov, 2008
- Keynote address and honorary plaque at the general plenary session of the world multi-conference WMSCI 2008, Orlando, Florida, 2008
- Distinguished Full Professorship awarded by the Italian Government, 2002
- Medal of the National Russian Exhibition awarded for the best didactic software, 1993
- Second Prize at the USSR annual competition in developing didactic software, 1990
- Third Prize at the USSR annual competition in developing didactic software, 1989