Education
Belarus State University
Belarus State University
In 1967 Platonov received a title of full professor of the Belarus State University.Since 1972 he has been an Academician of the National Academy of Sciences of Belarus and its President (1987–1993).Academician of the Russian /USSR Academy of Sciences since 1987. He was the Director of the Institute of Mathematics of the Academy of Sciences of Belarus from 1977 to 1992.
He solved the Strong approximation problem, developed the reduced K-theory and solved the Tannaka-Artin problem.[2] He solved also the Kneser-Tits and Grothendieck problems.Together with F.Grunewald he solved the arithmeticity problem for finite extensions of arithmetic groups and the rigidity problem for arithmetic subgroups of algebraic groups with radical. Platonov solved also the rationality problem for spinor varieties and the Dieudonne problem on spinor norms.
He is also a member of the Canadian Mathematical Society and was from 1993 to 2001 a Professor of the Faculty of Mathematics of the University of Waterloo in Waterloo, Ontario, Canada.
He is the author, with Andrei Rapinchuk, of Algebraic Groups and Number Theory
algebra, algebraic geometry, and number theory.