Graev, Mark Iosifovich

His father, Joseph Markovich (Mordukhovich) Graev (1896-1954), a native of Slutsk , studied at the mathematics department of Petrograd University , was forced to interrupt his studies during the Civil War , served as a political worker in the Red Army until the mid-1930s, then as a teacher at a military school and at the Moscow refresher courses for the commanding political staff ^{[1] [2]} . Mother, Valentina Ivanovna Graeva-Khvalebnova (nee Borkovskaya), was in charge of the school library and the Zamoskvoretsky pedagogical museum on Ordynka ^[3] . Nephew of the linguist V.I. Borkovsky , full member of the USSR Academy of Sciences.

Along with studying at school, M.I. Graev from 1937 attended a mathematical circle at Moscow State University . In 1939 he received the first prize of the Mathematical Olympiad of Moscow State University and in the same year he entered the first year of Moscow State University. During World War II, he continued his studies at Sverdlovsk University, and then again at Moscow University evacuated to Sverdlovsk. He graduated from the Faculty of Mechanics and Mathematics of Moscow State University in 1944 and was left in graduate school. ^[4] He defended his thesis on the subject “Free Topological Groups” in 1947 under the direction of A. G. Kurosh . At the same time he taught at the department of mathematical analysis.

In 1948 , after graduating from graduate school, he was sent as a senior research fellow at the Research Institute of the Academy of Artillery Troops. Since 1949, he attended a seminar by I.M. Gelfand and soon began collaborating with him in the field of representation theory, which resulted in many joint articles over the next decades.

In 1951-1958 he was an assistant professor at the Moscow Institute of Steel and Alloys and part-time assistant professor of higher algebra at Moscow State University (1952-1956), and in 1958-1991 he worked in the department of I. M. Gelfand at the Institute of Applied Mathematics of the USSR Academy of Sciences (since 1991 transferred to the Scientific Research Institute for System Studies of the Russian Academy of Sciences ) and part-time professor at the Kolomna Pedagogical Institute (1967-1969) and at the All-Union Correspondence Pedagogical Institute (1970-1980). ^{[5] [6]} He defended his doctoral dissertation on the topic “Analytical functions of many complex variables and representations of real simple Lie groups” in 1959 .

Major works in the field of functional analysis, representation theory and its applications. Co-author of the fundamental monographs “Integral geometry and related problems of representation theory” (together with I. M. Gelfand and N. Ya. Vilenkin ; M., 1962) and “The theory of representations and automorphic functions” (M., 1966, p . . M. Gelfand and I. I. Pyatetskim-Shapiro ), both in the series “Generalized Functions”: issues 5 and 6; “Fourier-Weil operators on the main affine space of the Chevalley group” (M., 1973, with S. I. Gelfand ), “Selected problems of integral geometry” (with I. M. Gelfand and S. G. Gindikin , 1998, 2000, 2007, English edition - 2002) and "Geometric and topological structures on groupoids" (2002, with A. V. Koganov).

For the monograph “Selected Problems of Integral Geometry”, the group of authors was awarded the State Prize of the Russian Federation (1998).

• Son - mathematician Mikhail Markovich Graev (1955–2013), candidate of physical and mathematical sciences (2007) ^[7] .
• Daughter - mathematician Elena Markovna Graeva (born 1958).

• State Prize of the Russian Federation (1998).
• Math Life (2014)

• Gelfand-graev representation