Information
Membership Number: FCA2307
Membership Type: Fellowship
Division: Mathematics and Information Sciences
Corresponding Email: shavkat.ayupov@mathinst.uz
Homepage(s): https://www.mathinst.uz/
Present and Previous Positions
2020- —— Member of the Senate of Uzbekistan Parliament
2017- —— Director of the V. I. Romanovskiy Institute of Mathematics of the Uzbekistan Academy of Sciences
1988- —— Head of Algebra and Analysis Dept. in the Institute of Mathematics.
1983- —— Full professor, Mathematics Department, Tashkent State University. Taught courses in Functional Analysis, Operator Algebras, and Abstract algebra, for students and researchers in mathematics.
2012- 2016 —— Director of the Institute of Mathematics, National University of Uzbekistan
2006-2012 —— Director of the Institute of Mathematics and Information Technologies of the Uzbekistan Academy of Sciences
2004-2006 —— Director of the Institute of Mathematics of the Uzbekistan Academy of Sciences
2003-2004 —— Deputy Minister of Higher and Secondary Specialized Education of the Republic of Uzbekistan
1997-2003 —— Chairman of the Supreme Attestation Commission of the Republic of Uzbekistan
1992-1997 —— Director, Institute of Mathematics of the Uzbekistan Academy of Sciences
1986-1992 —— Deputy Director, Institute of Mathematics
1979-1985 —— Senior researcher in the Institute of Mathematics
1977-1983 —— Assistant Professor, Mathematics department, Tashkent State University. Taught courses in Analysis, Topology, and Functional Analysis for students specializing in Mathematics
Fields of Scholarship and Research Interests
Doctor of Sciences in Physics and Mathematics. The thesis was defended at the Institute of Mathematics of the Uzbekistan Academy of Sciences on June 12, 1983. Thesis title: “Classification, Representation and Probabilistic Aspects of Ordered Jordan Algebras”.
Ph.D. in Physics and Mathematics. Thesis defended at Tashkent State University in June 1977. Thesis title: “Tychonov Rings, their Homorphisms and Modules”.
The field of interests: Functional analysis, Algebra and Topology.
The main research deals with:
Operator algebras, Jordan and Lie structures on von Neumann algebras,
Noncommutative integration theory and Quantum Probability.
Jordan algebras of self-adjoint operators and Jordan Banach algebras.
Theory of ordered Jordan algebras.
Structure of derivations and automorphisms on Operator algebras. applications in Quantum dynamics.
Structure theory of Leibniz algebras and Superalgebras and other non-associative algebras.
Local derivations and automorphisms of operator algebras and non-associative algebras.
Honors, Awards and Other Membership
1995 - Member of the Uzbekistan Academy of Sciences since 1995
1977 - Award of the Uzbekistan Academy of Sciences for Young Scientists
1980 - Member of the American Mathematical Society
1986 - USSR Award for Young Scientist
1989 - Corresponding Member of the Uzbekistan Academy of Sciences
1995 - Member of the Uzbekistan Academy of Sciences since 1995
2003 - Member of TWAS (The World Academy of Sciences )
2004 - Editor-in-chief of the “Uzbek Mathematical Journal”
2008-2013 - Senior Associate of the International Centre for Theoretical Physics (ICTP),
2008-2021 - Guest Professor of Sichuan University (Chengdu, China) .
2010 - Deputy Editor of «International Journal of Management Science and Engineering Management» (World Academic Press, UK).
2011 - awarded the title “Honored Scientist of the Republic of Uzbekistan”
2017 - awarded the Uzbekistan State Prize of the first degree in the field of science and technology
2020 - By decree of the President of the Republic of Uzbekistan, he was appointed a member of the Senate of the Parliament of the Republic of Uzbekistan.
2021 - By decree of the President of the Republic of Uzbekistan, Sh. A. Ayupov was awarded the title “Uzbekiston Qakhramoni” (Hero of Uzbekistan) and was awarded the highest sign - the medal “Oltin Yulduz” (Gold Star).
2022 - Editor of the international journal «Advances in Operator Theory»
Selected Publications
Monograph
1. Ordered Algebras. Tashkent: Fan, 1983, 304 pages (T.A. Sarymsakov e.a. coauthors)
2. Classification and Representations of Ordered Jordan algebras Tashkent: Fan, 1986, 124 p.
3. Jordan, Real and Lie Structures in Operator Algebras Kluwer Academic Publishers, Dodrecht-Boston-London, 1997. Math. and Its Appl. v. 418, 225p. (A. Rakhimov, Sh. Usmanov coauthors).
4. Real W*-algebras, Actions of groups and Index theory for real factors. (Monograph) VDM Publishers, 2010 (A.Rakhimov coauthor).
5. Sh.Ayupov, B.Omirov, I.Rakhimov, Leibniz Algebras. Structure and Classification. (Monograph) CRC Press, Taylor&Francis Group, 2019, 324p.
Google Scholar: https://scholar.google.com/citations?user=TFADdoEAAAAJ&hl=en
Other Information
https://twas.org/directory/ayupov-shavkat-abdullaevich