From September 2, 2015, the Department of Functional Analysis, Algebra and Geometry was reorganized as a result of the optimization of the structures of the departments of the university.
Currently, there are 15 professors in the main staff. Of these, 1 Dr. K. Kudaybergenov, 5 Ph.D., associate professors H. Allambergenov, M. Ibragimov, J. Seypullaev, R. Jiemuratov, T. Kurbanbaev. Theses dissertations of A. Arziev, J. Seypullaev, R. Jiemuratov, T. Kurbanbaev defended in 20092011. In 2018, F. Abdikalikov defended himself. At this time, professors and teachers: G. Aymurzaeva, K. Seidullaev, N. Juzbaev, G. Opaev, K. Begjanova are engaged in research work. I. Allambergenov, T. Kalandarov, A. Alauadinov, A. Seydullaev, P. Nasirov.
Currently subjects are taught:
For undergraduate programs: algebra and number theory, analytical geometry, analytical geometry and linear algebra, differential geometry and topology, probability theory and mathematical statistics, functional analysis, additional chapters of functional analysis, mathematical practical work, discrete mathematics, higher mathematics. The subject of higher mathematics is studied in the following areas: chemistry, chemistry, technology, design and technology of light industry products (fabrics), oilgas processing technology, biology, agrochemistry, ecology and environmental protection, geography, hydrometeorology, geodesy and cadastre, philosophy, journalism , Karakalpak language, foreign language and literature, INN, physical education.
For the specialty of magistracy: algebraic and geometric structures, Borel measures, potentials and foundations of stochastic analysis, the theory of linear operators, abstract algebra.
Every Wednesday, the department holds seminars with the participation of teachers of the department and gifted faculty students.
The director of the Mirzo Ulugbek Mathematical Institute, Academician Shavkat Abdullaevich Ayupov, works on the basis of hourly payment at the department. Every year in the month of May lectures for gifted students.
Candidates of physicomathematical sciences M. Ibragimov and J. Seypullayev study the geometric properties of Banach SFS spaces and the images of neutral compressing projectors in this space.
Doctor of Physics and Mathematics K. Kudaybergenov and assistants T. Kalandarov and A. Alauadinov conduct research on automorphisms and differentiation of algebras of unbounded operators
According to the results of scientific research the last 5 years, 106 scientific articles and abstracts were published, of which more than 33 abroad. Over 3 teaching aids were published by teachers of the department.
At present, the department has close ties with republican and foreign higher educational institutions, such as the Uzbek National University, Urgench State University, Tashkent State Pedagogical University, Karshi State University, Krasnoyarsk State University.
The lecturers of the department made presentations at the University of Bonn of the German Federal Republic, St. Petersburg State Polytechnic University of the Russian Federation, Krasnoyarsk State University.
The department conducts spiritual and educational work, as the Independence Day, December 8 is the Constitution Day of the Republic of Uzbekistan, January 14 is the Day of Defenders, March 8 is International Women’s Day, March 21 is the national holiday of Navruz. Veterans teachers are invited to these evenings.
Professorsteachers of the department with scientific titles
Doctor of Physical and Mathematical Sciences, Professor Kudaybergenov Karimbergen Kadirbergenovich was born in 1972 in the city of Khodjeyli. In 1994 he graduated from the Tashkent State Pedagogical Institute with a degree in mathematics and computer science. In 2002 he defended his thesis on the topic “Measurable bundles of compact sets and their applications to Choquet’s theorem”, and in 2008 his doctoral thesis on the topic Measurable bundles of linear operators and their applications to operator algebras and derivations. Over 60 scientific and methodical works were published. Among them, 3 tutorials. Since 2008, she has been working as the head of the department “Functional Analysis, Algebra and Geometry”.


Candidate of Physical and Mathematical Sciences, Associate Professor Ibragimov Mukhtar Mamutovich was born in 1972 in the city of Khodjeyli. 1994 graduated from the Tashkent State Pedagogical Institute with a degree in mathematics and computer science. In 2002 he defended his thesis on the topic “Constricting projectors and geometric properties of facesymmetric Banach spaces”. Over 30 scientific and methodical works were published. Among them, 9 tutorials. Since 2007, he has been working as a vicerector for studies at Karakalpak State University. 

Candidate of Physical and Mathematical Sciences, Associate Professor Allambergenov Khasenbai Satbaevich was born in 1949 in the city of Kegeyli. 1971 graduated from Karakalpak State Pedagogical Institute. In the specialty of mathematics. 1981 defended his thesis on “Works of switches in nilpotent and metabelian groups.” Over 50 scientific and methodical works were published. Among them, 12 tutorials. Since 1993, he has been working as an associate professor at the Department of Functional Analysis, Algebra and Geometry of Karakalpak State University. 

Candidate of Physical and Mathematical Sciences, Associate Professor Jiemuratov Rzamurat Esbergenovich was born in 1981 in the city of Kegeyli. In 2004 he graduated from the magistracy of Karakalpak State University, majoring in mathematics, mathematical analysis. In 2010 he defended his thesis on “Topological and categorical properties of the space of nonlinearsmooth functionals.” Over 10 scientific and methodical works were published. Since 2014, she has been working as an associate professor at the Department of Functional Analysis, Algebra and Geometry of Karakalpak State University. 

Candidate of Physical and Mathematical Sciences, Associate Professor Seypullaev Jumabek Khamidullaevich was born in 1981 in the city of Takhtakupir. In 2004 he graduated from the magistracy of Karakalpak State University, majoring in mathematics, mathematical analysis. In 2009 he defended his thesis on the topic “Classification of face symmetric spaces.” Over 10 scientific and methodical works were published. Since 2015, she has been working as an associate professor at the Department of Functional Analysis, Algebra and Geometry of Karakalpak State University. 

Candidate of Physical and Mathematical Sciences, Associate Professor Kurbanbaev Tuuilbai Kadirbayevich was born in 1983 in the city of Kegeyli. In 2006 he graduated from the magistracy of Karakalpak State University, majoring in mathematics, mathematical analysis. In 2011 he defended his thesis on the topic Classification of Leibniz algebras of small dimensions over a field of padic numbers. Over 10 scientific and methodical works were published. Since 2015, she has been working as an associate professor at the Department of Functional Analysis, Algebra and Geometry of Karakalpak State University. 


PhD Doctor of Physical and Mathematical Sciences Abdikalikov Farhad Abdizhalievichwas born in 1983 in the city of Nukus. In 2006 he graduated from the magistracy of Karakalpak State University, majoring in mathematics, mathematical analysis. In 2018 he defended his thesis on the topic “Study of statistical estimates of conditional functionals in regression models”. 
And also at the department there work senior teachers like: G. Aymurzaeva, K. Seidullaev, K. Begjanova, assistants N. Juzbaev, G. Opaeva, T. Kalandarov, I. Allambergenov, A. Seydullaev, A. Alauadinov, P. Nasirov.