During his prolific times at NUUz, Abdullaev has been an awardee in myriad international mathematics Olympiads for university students. Those together with his expertise in coding acquired through working for international IT companies have helped him win numerous graduate-level scholarships including the Erasmus and NUS Research Scholarship. His current research interests at NUS consist of developing mathematical interpretations of Large Language Models (LLMs), transformer models and attention mechanisms in particular, through the lens of well-established image processing and control theories.

Academician U A Rozikov earned his PhD in 1995 and his Doctor of Sciences degree in 2001 from the Institute of Mathematics in Tashkent. Since 2019, Rozikov has served as the Deputy Director of the Institute of Mathematics.

Rozikov is a globally recognized expert in probability, mathematical physics, and analysis, with a specialization in dynamical systems and statistical mechanics on graphs. His significant contributions include in-depth analyses of Gibbs measures in key models (Ising, Potts, SOS, HC) of statistical mechanics on trees. He has introduced innovative tools for studying Gibbs measures on graphs, including group representation theory, information flows, node-weighted random walks, contour methods on trees, and non-linear analysis.

Rozikov is an exceptionally prolific author, having published over 170 papers since 1995 in prestigious journals. His work includes 12 papers in the renowned Journal of Statistical Physics, 27 papers in Theoretical and Mathematical Physics, Lett. Math. Phys., Comm. Math. Phys., J. Stat. Mech. Theory Exp., J. Math. Anal. Appl., among others. Notably, he has published extensive review papers in Rev. Math. Phys. in 2013 and 2021. Additionally, Rozikov is the author of five research monographs, two of which are related to Gibbs measures.