RUSSIAN

Vyachelav A. Artamonov was born in the city of Tula on October 2, 1946. In July 1963 he entered the Faculty of Mechanics and Mathematics of Moscow State University and graduated from Moscow State University in July 1968. During 1968-1970 he was a postgraduate at the Department of Algebra, Faculty of Mechanics and Mathematics of  Moscow State University, under supervisorship of Prof. A.G. Kurosh.

In April 1971 V.A. Artamonov received the degree of Ph.D. and in 1990 the degree of Doctor of Sciences at the Faculty of Mechanics and Mathematics of Moscow State University.

The Ph.D. thesis of V.A. Artamonov is entitled: "Subgroups of a free product of Г-operator groups with a regular group of operators Г". His D.Sci. thesis is entitled: "Projective modules, groups, and Lie algebras".

In December 1970 V.A. Artamonov received a position at the Faculty of Mechanics and Mathematics of Moscow State University. In 1976-1996 he was an associate professor (docent) and since 1996 he is a full professor at the Department of Algebra.

V.A. Artamonov is a member of the American Mathematical Society (1973). He is a member of editorial boards of the International Journal "Communications in Algebra" (Marcel Dekker Inc., New York), of the journals "Discussiones Mathematicae, General Algebra and Applications" (Technical Univ. Press, Zieleno Gora, Poland), "Algebra and Discrete Mathematics" (Kiev and Lugansk Universities, Ukraine), "Fundamental and Applied Mathematics" (Moscow State University), "Abelian groups and modules" (Tomsk University, Russia), "Tchebyshev Sbornik" (Tula Pedagogical University).

V.A. Artamonov was awarded a jubilee medal "850th anniversary of the Moscow city".

Twelve of his postgraduate students received the degree of Ph.D. at Moscow State University..

V.A. Artamonov is the author of about 130 papers in algebra, the author of 3 books and a coauthor of 7 books - see the publication list.

• universal algebra: classes of algebras (varieties, quasivarieties, etc.), derived structures (commutators of congruences, automorphism groups, etc.), applications of universal algebra to key generation problem, etc.
  
• associative algebras - noncommutative algebraic geometry: quantum polynomials (= quantum affine spaces), quantum groups, actions of Hopf algebras on quantum polynomials, quantum division rings and mathematical theory of quasicrystals.

Main results:

• There was found a classification of varieties of non-associative algebras and of groups whose lattice of subvarieties is a chain [7, 8, 11, 15, 23].
• It was proved that projective metabelian groups and Lie algebras are free [20, 21].
• It was shown that in Abelian-by locally finite varieties of groups there exist non-free projective objects [14, 25, 29, 76].
• It was proved that projective modules over quantum polynomials of rank at least two are free (quantum Serre's conjecture) [35, 39, 54, 62, 65, 74].
• There was found a classification of solvable groups and Lie algebras such that all projective modules over the respective group ring or universal enveloping algebra are free [27, 28, 37, 39].
• There was given a general construction of a free Abelian extension in a congruence-modular variety of general algebras [60, 68, 73]. In particular, this construction is used for studying free solvable algebras of any class in a given congruence-modular variety of algebras.
• Recent results are related to the study of quantum polynomials, their division rings, automorphisms, actions of Hopf algebras. In particular, actions of pointed finite-dimensional Hopf algebras (= finite quantum groups acting on quantum affine space) were studied [75, 77--79, 84, 86--91, 92, 97].

V.A. Artamonov gives lectures on higher algebra to 1st and 2nd year students at the Faculty of Mechanics and Mathematics, lectures on linear algebra for 3-rd year students specializing in mathematical economics, a special course "Algebra, Logic and Number Theory" (on the Ph.D. minimum program) for postgraduates and students of 3-5th years at the Faculty of Mechanics and Mathematics. Also he gives lecture courses "Linear Algebra and Analytic Geometry" for 1st year students and "Group Theory and Applications" for senior students and postgraduates at the Advanced College of Material Sciences. Together with the colleagues at the Department of Algebra he conducts the seminars "Research seminar on algebra", "Rings and modules", "Computer algebra".

E-mail: artamon@mech.math.msu.su