Ayupov was educated at Tashkent State University. He is director, Institute of Mathematics of the National U. of Uzbekistan (former Institute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences); professor, National University of Uzbekistan; and chairman, Algebra and Functional Analysis Department. He was previously: Dep. Minister of Higher and Secondary Specialized Education of Uzbekistan; Chairman, Supreme Attestation Commission under the Cabinet of Ministers of the Republic of Uzbekistan; and director, Institute of Mathematics, Uzbekistan Academy of Sciences. His awards include: Uzbekistan Academy Prize for Young Scientists; Uzbekistan Youth Union Prize for Young Scientists; All Soviet Union Youth Prize in Sciences. He is a member of the Uzbekistan Academy of Sciences and American Mathematical Society. He is a senior associate, ICTP, Trieste, Italy, 2008-13.