He graduated from Kharkiv University in 1951, and received his PhD in 1954 under the supervision of Ilya Lifshitz.
In 2004. he was awarded the title of Doctor (honoris causa) of Kharkiv National University.
[2] Arnold Kosevich worked on the theoretical researches of electronic properties of metals, mechanics of real crystals and magnetoordered systems, and nonlinear dynamics of the condensed media.
Together with I. M. Lifshitz, he established (1954) the connection between the oscillation of magnetic characteristics of metals (De Haas–van Alphen effect) and the form of a Fermi surface (now called the Lifshitz–Kosevich formula).
In 1953 he discovered the phenomenon of quantum dimensional effect in conducting films (the invention was registered in 1977).