Khorezm Branch
Laboratory Head
Atamuratov Alimardon Abdirimovich
Laboratory Head
📧 Email: alimardon01@mail.ru
📞 Telefon: +99890 559 03 60
🕔 Reception days:
🏢 Office number: 224
📍 Address:
Address: 100174, Tashkent city, Almazar district, University street, house 4
More detailsAbout Laboratory
The Khorezm Branch of the Institute of Mathematics was opened in June 2020 at Urgench State University in accordance with Resolution No. PQ-4708 of the President of the Republic of Uzbekistan dated May 7, 2025 "On measures to improve the quality of education in mathematics and develop scientific research." The branch has been assigned the tasks of improving the quality of education in mathematics in the region and further developing scientific research, and on this basis, the branch cooperates with higher education institutions, specialized schools, and general secondary education schools in the Khorezm region. The main tasks of the branch have been defined as launching scientific research in the most advanced directions of mathematics and developing international scientific cooperation.
From 2020 to 2022, the branch was headed by Doctor of Physical and Mathematical Sciences Imomkulov Sevdiyor Akramovich. Since 2022, the branch has been headed by Doctor of Physical and Mathematical Sciences Atamuratov Alimardon Abdirimovich.
From 2020 to 2025, Academician A. Sadullayev, Doctor of Physical and Mathematical Sciences, has been active at the Khorezm Branch of the Institute of Mathematics and has led research in many modern scientific directions. These include applications of pluripotential theory in parabolic polyhedra (parabolic analytic surfaces) and foundations of potential theory in the class of m-convex functions. Today, the following scientists are conducting scientific activities at the branch: S.A. Imomkulov, Doctor of Physical and Mathematical Sciences; B.I. Abdullayev, Doctor of Physical and Mathematical Sciences; G.U. Urazbayev, Doctor of Physical and Mathematical Sciences; A.A. Atamuratov, Doctor of Physical and Mathematical Sciences; B.B. Yusupov, PhD; R.A. Sharipov, PhD; A.K. Babadjanova, PhD; N. Vaisova; and junior researchers Sh.E. Atanazarova and O.B. Ismoilov.
Laboratory Staff
Scientific Activity
Currently, the "Khorezm Branch" is conducting research in the following directions:
• Continuation of analytic functions. Continuation of analytic functions in a prescribed direction and with singularities. Real analytic function continuation, analytic continuation of separately holomorphic and separately real analytic functions, and separately (sub)harmonic functions are studied.
• Theory of analytic functions in parabolic polyhedra and on parabolic analytic surfaces. Approximation of holomorphic functions by polynomials, foliation and embedding of parabolic polyhedra in complex spaces, and algebraicity criteria are studied.
• Theory of m-convex functions. Potential properties of m-convex functions and foundations of potential theory in the class of m-convex functions are being developed. Dirichlet problems, extremal functions, and Hessian measures are studied.
• Non-associative algebras. The direction of non-associative algebras is one of the most actively developing areas of algebra theory. In this direction, structural properties, classification, and differentiation theory of Lie, Leibniz, Jordan, alternative, Poisson, and several other algebras are studied. The goal of this direction is to identify new classes of non-associative algebras, describe various linear mappings in them, determine their deformations, and classify cohomological groups. Additionally, non-associative algebras are also studied in connection with geometry and dynamical systems. Research results are of great importance in developing new theoretical models in the fields of algebra, geometry, and mathematical physics.
• Nonlinear evolution equations. The field of nonlinear evolution equations is one of the actively developing directions of modern mathematical physics. This field is devoted to studying differential equations expressing the time evolution of nonlinear systems of various natures. Here, problems of existence, uniqueness, and stability of solutions are important, as well as analyzing the emergence of special structures such as solitons and their long-term behavior. Additionally, integrable equations are of particular importance, and in studying them, the inverse scattering transform method and spectral problems are widely applied. Results obtained in this field are widely applied in physics, hydrodynamics, optics, plasma theory, and many other branches of science.
International Cooperation
The branch actively collaborates scientifically with numerous institutes and universities, including:
- California State University (Fullerton, USA);
- University of Wuppertal (Germany)
- University of Toulouse (France)
- Siberian Federal University (Russian Federation)
- University of Santiago de Compostela (Spain)
- Keele University (England)
- University of Bayreuth (Germany)
- University of Bonn (Germany)
- Saratov University (Russian Federation)
Seminars
Direct and Inverse Problems for Differential Operators and Their Applications (scientific seminar)
Seminar venue: Offline
Every Tuesday at 10:30 at V.I.Romanovsky Institute of Mathematics Khorezm Branch, Room 222
Seminar leader: Prof. B. Babajanov, seminar secretary: A. Iskandarov
Theory of Complex Potentials and Its Applications (scientific seminar)
Seminar venue: Offline
Every Friday at 15:30 at V.I.Romanovsky Institute of Mathematics Khorezm Branch, Room 222
Seminar leaders: Doctor of Physical and Mathematical Sciences, Prof. B. Abdullayev and Doctor of Physical and Mathematical Sciences A. Atamuratov, seminar secretary: PhD R. Sharipov