The chair of algebra and geometry

The head of the chair: DSc in Physics and Mathematics 

Imomov Azam Abdurakhimovich

Phone: (+99891) 257-04-44

Email address: imomov_azam@mail.ru 

 

The history of the chair

The chair «Mathematical analysis» was established in 1982 and senior lecturer E.Eshdavlatov was appointed as a head of the chair.

From 1988 to 1992 senior lecturer N.Dilmuradov worked as a head of the chair. In 1992 in base of the chair, three chairs were created: «Mathematical analysis», «Algebra and geometry» and «Differential equations». Senior lecturer Z.Toshev was appointed head of the chair «Mathematical analysis».

In 1995 chairs «Mathematical analysis» and «Differential equations» were united and a single chair was created named «Mathematical analysis». Until 1998 this chair was headed by Z.Toshev.

From 1998 to 2001 a senior lecturer Z.Oromov headed the chair of «Mathematical analysis». In 2001 a senior lecturer E.Eshdavlatov was appointed head of the chair.

In 2005 chairs “Mathematical analysis” and “Algebra and geometry” were united and transformed a single chair “Mathematical analysis and algebra”. In 2005 a senior lecturer N.Sharipov was appointed head of the chair.

From 2010 to 2014 A.Imomov worked as a head of the chair of “Mathematical analysis and algebra”. In this period, the chair had cooperation in the field of science and education with universities of Russia, Ukraine, Germany, Hungary, the USA, Malaysia and Great Britain. During the cooperation, teachers participated in International conferences and published scientific works on foreign journals. In particular, A.Imomov participated in the International conferences «Stochastic Analysis and Random Dynamics» in Ukraine, «Stochastic Models and their Applications» in Hungary, «Probability Theory and its Applications» in Moscow.

Members of the chair also participated in TEMPUS program projects. In 2005-2006 A.Imomov was the coordinator of the project TEMPUS-SCM-T-016A5-EDUCREDIT. From 2011 to 2013, he was the coordinator of the project TEMPUS-516996-QAPD: «Enhancement of Quality Assurance System through professional development of academic leaders».

In 2014 chairs “Mathematical analysis and Algebra” and “General Mathematics” were united and transformed a single chair “Mathematica”. In 2014 E.Alikulov was appointed head of the chair.

From 1 November 2018 on the base of the chair of mathematics, the chairs “Mathematical analysis and differential equations” and “Algebra and geometry” were created. At present, the head of the chair of “Algebra and geometry” is DSc A.Imomov.

The chair has a scientific seminar "Problems of stochastic analysis and actuarial mathematics."

Members of the chair teach algebra, geometry and probability theory in all courses in the direction 60540100 - mathematical education, as well as subjects related to mathematics in other areas of education and areas of distance learning.

Subjects taught at the chair:

Bachelor degree:

Algebra and number theory

Analytic geometry

Linear algebra

Linear algebra and geometry

Workshop on elementary geometry

Introduction to set theory

Discrete mathematics

Algebra

Probability theory and mathematical statistics

Modern problems of probability theory

Elements of combinatorics

Differential geometry and topology

Mathematical statistics

Methods of teaching of mathematics and computer science

Selected Chapters of Algebra

Selected Chapters of Geometry

Applied mathematics

Higher mathematics

Subjects taught to undergraduates in the specialty 70540101 - Mathematics (in areas) "probability theory and mathematical statistics":

Theory of sums of random variables

Limit theorems for random variables

Asymptotic properties of statistical estimates

Functions of regular variables and their applications

Branching random processes

Analysis of statistical data

Staff members:

Doctor of physical and mathematical sciences, associate professor - Imomov Azam Abdurakhimovich 

Candidate of physical and mathematical sciences, associate professor - Abulov Mumin Orzikulovich 

Candidate of Pedagogical Sciences, associate professor - Abdurakhmanov Abdimumin 

Doctor of philosophy (PhD) in physical and mathematical sciences, associate professor v.b. - Tursunov Bayramali AkbarovichShodiyev Sa’dulla Yusupovich

Senior teacher - Shodiev Sadulla Yusupovich

Senior teacher - Abdirakhmonova Rano Eshkobilovna

Senior teacher - Jurayeva Muxayyo Nematillayevna

Teacher -Okboyeva Nilufar Urakovna

Teacher -Tukhtayev Erkin Egamberdiyevich

Teacher -Meyliyev Abror Khujanazarovich

Teacher -Temirov Sherali Uralovich

Teacher -Xurramov Oybek Shermamatovich

Teacher - Ibrohimova Yorqinoy Erkin qizi

The department conducts scientific research in the following scientific areas:

A.A. Imomov, E.E. Tukhtaev, A.Kh. Meyliev conduct research on the theory of Markov random branching processes and their applications.

Doctoral student Tukhtaev Erkin Egamberdievich is conducting a dissertation on the topic "Asymptotic structure of branching by time and unknown variance", scientific consultant A.A. Imomov.

Scientific fields:

The theory of Markov stochastic branching processes and its applications;

Applications of the theory of functions of a regular variable to problems of probability theory;

Geometry of Riemannian submersions of manifolds of nonnegative curvature.

Seminars and circles

For undergraduates and bachelors, a mathematical circle "Modern Mathematical Questions" was organized, on Friday of the week from 11:30 to 12:50, in room 119, led by M.O. Abulov, B.A. Tursunov, Sh.U. Temirov.

Scientific collaboration

The department has established collaboration relations with Tomsk State University, Tbilisi State University, Kyiv National Taras Shevchenko University, Institute of Control Systems of the National Academy of Sciences of Azerbaijan, Siberian Federal University, Novosibirsk State University, Kazan Federal University, Institute of Mathematics of the FA. and departments of leading universities of our republic.

Organized Conference

As part of the memorandum of understanding signed between KarshiDU and Tomsk State University (250th place in the QS World University Rankings, RF), the XXI International Conference “Information Technology and Mathematical Modeling” will be held on the initiative of the department in March 2021. held at KarSU on October 25-29, 2022. The conference was organized by KarSU, Tomsk State University, Peoples' Friendship University of Russia, Institute of Control Problems of the Russian Academy of Sciences and V.I.Romanovsky Institute of Mathematics of the Russian Academy of Sciences. Within the framework of the conference, an international symposium “Modern stochastic models and problems of actuarial mathematics” (MAMMOTH-2022) and a round table “End-to-end digital technologies in higher education programs” were organized.

The purpose of the conference is to unite the efforts of Russian universities and the mathematical society of Uzbekistan in determining the most priority areas of scientific research in the field of probability theory and its applications, information and telecommunication technologies, mathematical modeling, artificial intelligence, digital economy and other important scientific research and scientific and technical developments. from the exchange of ideas and generalization of experience.

The conference was attended by participants from foreign countries Italy, Russia, Hungary, Japan, India, Kazakhstan and Azerbaijan. It was decided to consider the issue of including professors and teachers of KarSU in the Scientific Council for the award of academic degrees, operating under Tomsk State University. In the next 2-4 years, an agreement was reached on the defense of dissertations of 2 researchers of the KarSU in Tomsk State University. It was decided to start the process of preparing a bilateral Memorandum of Understanding between the Italian University of Pisa and KarDU.

Also, professor S.P. Moiseeva of Tomsk State University is supervising the master's thesis of one graduate student of our chair.

Other successes

Within the framework of cooperation with the Institute of Mathematics of the Russian Academy of Sciences, A.A. Imomov is the supervisor of dissertations for 2 basic doctoral students of the institute.

Currently, A.A.Imomov is a member of the editorial board of "Mathematics and Statistics" (Scopus), "Journal of Applied Probability and Statistics" (Scopus), "Communications On Stochastic Analysis" (Scopus) and "Bulletin of the Institute of Mathematics", reviewer of "Discrete Event Dynamic Systems: Theory and Applications" (Scopus), "Athens Journal of Education" (Scopus) and "American Journal of Applied Mathematics and Statistics" (Crossref). Also, A.Imomov was approved as a member of the Scientific and Technical Council for "Mathematics, Physics and Mechanical Sciences" by the order of the Minister of Innovative Development No. 209 dated August 10, 2021.

The chair conducts scientific-research works in the directions of the theory of random processes, the theory of Diophantine equations, modern issues of geometry and topology, and modern trends in the teaching of mathematical sciences.

 

Address: 17, Kuchabag, 180103 Karshi city, Uzbekistan