Department of Probability Theory and Applied Mathematics, Samarkand State University
Head of the Department of Probability Theory and Applied Mathematics
Kulzhonov Utkir Nematovich
+99897 9193417 uquljonov@bk.ru, uquljonov@samdu.uz
O‘tkir Quljonov, PhD in Physics and Mathematics, Associate Professor. Since 2012, he has been working at Samarkand State University, and since 2022, he has been serving as the Head of the Department of Probability Theory and Applied Mathematics.
In 2019, he defended his PhD dissertation on the topic: “On the lower spectrum of one- and two-particle discrete Schrödinger operators”.
He has published 9 articles in international journals indexed in Scopus and Web of Science, more than 30 articles in international and national journals, and over 40 abstracts at international and republican conferences. He is also the author of 3 textbooks and 8 methodological manuals.
His main scientific field of research is dedicated to the spectra of discrete and continuous Schrödinger operators.
In 2023, O‘tkir Quljonov conducted a research visit to Osh State University (Kyrgyzstan); in 2024, to Universiti Malaysia Terengganu; and in 2025, to Istanbul University and Kultur University (Turkey).
Electronic links to his scientific works published in journals indexed in Scopus and Web of Science:
https://www.scopus.com/record/display.uri?eid=2-s2.0-85083548557&origin=resultslist&sort=plf-f
https://www.scopus.com/record/display.uri?eid=2-s2.0-85105476733&origin=resultslist&sort=plf-f
https://www.scopus.com/record/display.uri?eid=2-s2.0-84984548249&origin=resultslist&sort=plf-f
https://www.scopus.com/record/display.uri?eid=2-s2.0-84874531741&origin=resultslist&sort=plf-f
https://www.scopus.com/record/display.uri?eid=2-s2.0-85134305199&origin=resultslist&sort=plf-f
DOI: 10.1134/S1995080222150161
Employees of the Department of Probability Theory and Applied Mathematics of Samarkand State University
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Abdullaev Dzhanikul Ibragimovich Doctor of Physical and Mathematical Sciences, Professor. Since 1989, he has been working at Samarkand State University. In 1991, he defended his Candidate of Sciences dissertation in physical and mathematical sciences on the topic “Some Spectral Properties of the Matrix-Valued Friedrichs Model”, and in 2001, his Doctor of Sciences (DSc) dissertation on the topic “Spectral Analysis of Schrödinger Operators for Systems of Two, Three, and Four Particles on a Lattice.” He has published 40 articles in scientific journals indexed in international databases such as Scopus and Web of Science, more than 35 articles in international and national journals, and over 100 theses in international and national conferences. He is also the author of 1 textbook, 7 teaching manuals, and 6 methodological guides. Janikul Abdullayev’s textbook “Functional Analysis and Integral Equations” and the study guide “Mathematics for University Entrants” are widely used by readers across the country. His scientific research focuses on discrete Schrödinger operators and their spectra. Scientific works published in journals indexed in Scopus and Web of Science:
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Kurbonov Khabibulla Habibulla Qurbonov, Candidate of Physical and Mathematical Sciences, Associate Professor. In 1987, he defended his Candidate’s dissertation on the topic: “Binary relations and transition states in systems with limited queue length”. He has published 76 articles in international and national scientific journals, as well as 58 abstracts in international and republican conferences. He is also the author of 5 textbooks and 14 methodological manuals. The main scientific field of the scholar is dedicated to the problems of queuing theory. Electronic links to his scientific articles in Scopus and Web of Science databases:
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Ostonov Kurbon ostonovk@mail.ru qostonov@samdu.uz Qurbon Ostonov, Candidate of Pedagogical Sciences, Associate Professor. In 1987, he successfully defended his Candidate’s dissertation on the topic: “Activating students’ thinking activity in studying the course ‘Fundamentals of Algebra and Analysis’”. He has published about 50 articles in international and national scientific journals, and more than 70 abstracts in international and republican conferences. He is also the author of 7 textbooks and 24 methodological manuals. The main scientific field of the scholar is dedicated to the problems of developing students’ creative thinking activities in teaching mathematics at secondary schools. Electronic links to his scientific articles in Scopus and Web of Science databases:
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Bozorova Ugiloy Barotovna Since 2018, O‘g‘iloy Bozorova has been working as a lecturer at the Department of Probability Theory and Applied Mathematics of Samarkand State University. Her articles have been published in international journals. She is the author of 7 articles at the republican level and more than 10 theses presented at conferences. She is also the author of 2 methodological manuals on probability theory. Currently, she is conducting scientific research on the topic: “Queueing systems with limited length and some related ambiguous relations,” dedicated to the theory of mass service.
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Kulieva Gulchekhra Takhirovna kulievag@mail.ru Gulchehra Kuliyeva, PhD in Physics and Mathematics. Since 2023, she has been working as an Associate Professor at the Department of Probability Theory and Applied Mathematics, Samarkand State University. In 2007, she successfully defended her PhD dissertation on the topic “The Rothe method for some elliptic and parabolic variational inequalities in noncylindrical domains” in the Czech Republic. Her scientific works include 10 articles published in journals indexed in Scopus and Web of Science, 12 articles in international and national scientific journals, and more than 15 abstracts presented at republican conferences. Her research interests focus on the Rothe method and Hardy-type inequalities. Publications in international journals indexed in Scopus and Web of Science:
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Shokhrukh Kholmatov Shokhrukh Kholmatov – Doctor of Philosophy (PhD) in Mathematical Physics and Mathematical Analysis, Associate Professor. Since 2017, he has been working as a researcher at the University of Vienna (Austria). Since November 2024, he has also been serving as an adjunct associate professor at the Department of Probability Theory and Applied Mathematics, Samarkand State University. He obtained his first PhD degree in 2011 at Samarkand State University in the field of Mathematical Physics under the supervision of Academician Saidahmad Lakaev. His second PhD was awarded in 2017 at SISSA (Scuola Internazionale Superiore di Studi Avanzati, Italy) in Mathematical Analysis under the supervision of Prof. Giovanni Bellettini. His research publications and other academic activities can be found on his official profiles:
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Qudratov Hamza Ergashevich Hamza Ergashevich Qudratov, PhD in Physics and Mathematics. In 2022, he defended his PhD dissertation on the topic: “Limit theorems for critical branching stochastic processes and estimates for moments”. He has published about 30 articles in international and national scientific journals. He is also the author of 2 methodological manuals. His main research areas are focused on the theory of branching stochastic processes and on numerical methods for solving fractional-order differential equations in the sense of Caputo. Link to his scientific articles in the Scopus database:
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Che Mohd Imran Che Taib Che Mohd Imran Che Taib – Doctor of Philosophy (PhD) in Mathematical Physics, Professor. Since 2011, he has been working as a researcher and later as a professor at Universiti Malaysia Terengganu. Since November 2023, he has also been serving as an adjunct professor at the Department of Probability Theory and Applied Mathematics, Samarkand State University. His main research interests are focused on applied financial mathematics, intuitionistic fuzzy sets and similarity measures, as well as fuzzy time series forecasting (currency exchange rates and financial time series). The scholar has published a number of articles in Scopus-indexed and other international journals, as well as conference papers presented at international scientific meetings. |
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Zabidin Bin Salleh
Zabidin Bin Salleh – Doctor of Philosophy (PhD) in Mathematical Physics, Professor. Since 2008, he has been working as a researcher and later as a professor at Universiti Malaysia Terengganu. Since November 2023, he has also been serving as an adjunct professor at the Department of Probability Theory and Applied Mathematics, Samarkand State University. He obtained his BSc (Hons) and Diploma of Education from Universiti Malaya, Kuala Lumpur (1992, 1995), his M.Sc. from Universiti Sains Malaysia, Penang (2000–2002) in Complex Analysis, and his PhD from Universiti Putra Malaysia, Serdang (2004–2008) in Topology under the supervision of Prof. Dr. Adem Kılıçman. His research interests include Topology, Functional Analysis, Fixed Point Theory, Geometric Function Theory, and Fluid Dynamics with nanofluid models. He is the author of more than 140 research papers in Scopus and Web of Science indexed journals, a supervisor of M.Sc. and PhD students, and a reviewer and editorial board member of several international journals. |
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Sharofat Ergashova Since 2023, Sharofat Ergashova has been working as a lecturer at the Department of Probability Theory and Applied Mathematics of Samarkand State University. She has published 4 articles in journals indexed in Scopus and Web of Science, 6 articles in international and national scientific journals, and more than 15 theses in national conferences. Under the supervision of Professor Janikul Abdullayev, Sharofat Ergashova is conducting research on the topic: “The essential and discrete spectrum of Schrödinger operators corresponding to systems of identical particles.” |
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About the Department of Probability Theory and Applied Mathematics The department was established in 1936 under the name of general mathematics. At first, the teachers of the department taught such subjects as mathematics, algebra and number theory, drawing geometry along with the theory of probability, and later mathematical analysis. In 1936-1941, the department was headed by associate professors R.P. Kuzinov, M.A. Sobirov. A. A. Shepelevsky, who came from Kyiv University, began to work at the department. In 1938, associate professor V.M. Baskov, graduate of Leningrad University. He taught courses in mathematical analysis at the department. In 1944, the head of the department was appointed Doctor of Physical and Mathematical Sciences, Professor Romanov N.P. Under his supervision, Ph.D. .Ya., Kurtyakov S.Yu. Later, M. A. Subkhankulov, B. Ya. Levin, students of N. P. Romanov, deepened their scientific results, defended their doctoral dissertations and were invited to work in scientific centers abroad. |
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From 1944 to 1951, Professor N.P. Romanov. From 1951 to 1961 the department was headed by Associate Professor R.I. Iskandarov. In 1961-1971, the department was headed by Associate Professor V. M. Baskov. During this period, 23 scientists worked at the department. Since 1971, the department was headed by Associate Professor R.R. Rakhmonov. During this period, in connection with the opening of departments at the faculty, researchers of the preparatory department were hired. During these years, the department also taught subjects related to the theory of probability. At the same time, the teaching of special courses and the defense of dissertations was started. Strong relations were established with the staff of the department, Academician T.A. Sarimsakov and Academician S.Kh. Sirojiddinov. During these years, Professor T.A. Azlarov regularly came to supervise special disciplines and diploma works of the department. Under the guidance of T.A. Azlarov, associate professors of the department B. Bozorov, Ya. M. Khusainov, Kh. Kurbonov defended their dissertations. In 1982-1988 the department was headed by Associate Professor Bozorov V.B. During these years, scientific research was strengthened at the department, the staff of the department was strengthened by young teachers. |
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In 1988-1993, the department was headed by Associate Professor G.V. Zlossky. During these years, the educational and scientific processes in the methodology of teaching mathematics intensified. An all-Russian problem seminar was organized, to which leading scientists and specialists from Moscow and other cities were invited. In particular, professor V.G. Boltyansky, G.D. Glazer has repeatedly participated in these seminars and delivered lectures. At the same time, the department took the necessary measures to reform education. In 1999-2004, the department was headed by Associate Professor Khusainov Ya.M. During this period, in connection with the increased requirements for teaching in higher education, the department developed and implemented educational literature, programs and plans. In particular, texts of lectures on all subjects were prepared and published. In 2003, master's programs were opened in the specialties 5A460104 - "Probability Theory and Mathematical Statistics", 5A460107 - "Methods of Teaching Mathematics". Since 2003, the name of the department has been changed to probability theory and mathematical statistics. |
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From 2005 to 2013, the department was headed by Professor Jalilov A.A. Since 2013, Professor Zh. Abdullayev has been elected head of the department on the basis of a competition. During these years, much attention was paid to such areas as increasing the scientific potential of the department, training qualified young personnel, strengthening foreign scientific ties. In 2019, Professor Khalkhodzhaev A.M. was appointed head of the department. The staff of the department are specialists in the field of probability theory, mathematical statistics, methods of teaching mathematics, mathematics from higher mathematics and mathematics, applied mathematics, physics, history, economics, labor education, Uzbek philology, fine arts, physical culture, Tajik philology, lectures, practical and laboratory classes are conducted for students in three languages: Uzbek, Russian and Tajik at faculties and correspondence and special correspondence departments. Since August 2022, the name of the department has been changed to Probability Theory and Applied Mathematics. Employees of the department conduct research work on the theory of probability and mathematical statistics, methods of teaching mathematics, mathematical analysis, history of mathematics. Scientific works of the staff of the department are published in international and republican scientific collections. Members of the department have established contacts with foreign scientific centers and are conducting scientific work on several grants. |
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Currently, the department cooperates with the National University of Uzbekistan, the Institute of Mathematics of the Russian Federation, Tashkent State Pedagogical University, the Research Institute of Pedagogical Sciences of Uzbekistan, Guliston State University in the regions, Jizzakh, Navoi Pedagogical Institutes, Urgench State University and Cambridge abroad (I have established links with research centers universities such as England), Lille (France), Clausthal (Germany), Turkey, Toronto (Canada), Czech Republic (West Bohemia), Wales (Cardiff), Sweden (Stockholm, Lulea). Also, scientific cooperation between Moscow State University, St. Petersburg, Kyiv (Ukraine) and universities of the CIS countries has been established. In addition, regular and organic ties have been established with higher educational institutions of Samarkand in the scientific and educational fields. |
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Curricula taught at the department Undergraduate • Mathematics • Theory of Probability and Mathematical Statistics • Content of general secondary education textbooks • History of mathematics • Methods of teaching mathematics and computer science • Game theory • Theory of distribution functions • Professionally oriented teaching of mathematics |
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Master's degree • Limit theorems for the sum of random variables • Theory of public service • Applications of integral equations to probability theory • Quantum probability theory • Theory of characteristic functions |
Photos from the life of the department
