Soviet, Russian and Azerbaijani scientist in the field of mathematical models development and methods of studying wave and oscillatory processes to create piezoelectric devices and products used in the world's oceans and space studies, in marine seismic exploration, in electronic, defense and medical industries.

[3] After graduating the university he continued his studies as a postgraduate student at the Department of Wave and Gas Dynamics and later at a closed Dissertation Council defended the thesis "Investigation of electrical parameters of piezoelectric structures with associated fluctuations" and received his PhD in physical and mathematical sciences.

[4] After finishing his postgraduate studies at Lomonosov Moscow State University in 1974 he was hired by All-Union Scientific Research Institute "FONON" of the USSR Ministry of Electronic Industry.

[5] In 1994–1995 he worked as Deputy General Director for science and production of joint Russian-American Company "Green Star International".

In September 1996 he became the Head of the Department of Higher and Applied Mathematics and Professor of Moscow State Academy of Business Administration (MSABA).

In the year 2001 A. M. Allahverdiyev by the decision of the Higher Attestation Commission of the Russian Federation was awarded the academic title of professor.

Many scientific and technical results of his innovative solutions, which is evident from more than 150 scientific articles and 7 inventions published by A. M. Allahverdiyev, have been successfully applied in certain sectors of science and technology: in the study of the world ocean, in marine seismic surveys, implemented by electronic companies (especially in acoustics and microelectronics), defense and medical industries (in particular piezoceramic sensor developed by him and his co-workers have successfully been applied in the development and creation of an artificial heart).

He was also one of the first scientists, who in cooperation with his students solved two- and three-dimensional electroelastic dynamic tasks on the basis of generalized variation principle with the use of methods of finite and boundary elements.

[11] A.M. Allahverdiyev has presented more than 60 scientific reports (including 10 plenary ones) at 30 international, All-Union, All-Russian industrial conventions, conferences, and symposia, dedicated to the dissemination of surface waves in piezoelectric environments, and the research of electrical parameters of piezoceramic structures under associated fluctuations.

She finished residency studies and works as a surgeon in the city of Doha, the capital of the state of Qatar in the field of plastic surgery.