Alexei Ivanovich Kostrikin (russian: Алексей Иванович Кострикин) (12 February 1929 – 22 September 2000) was a Russian mathematician, specializing in algebra and

algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...

Life

Kostrikin graduated from the Faculty of Mechanics and Mathematics at Moscow State University in 1952. In 1960, he earned a Doctor of Sciences degree under

Igor Shafarevich Igor Rostislavovich Shafarevich (russian: И́горь Ростисла́вович Шафаре́вич; 3 June 1923 – 19 February 2017) was a Soviet and Russian mathematician who contributed to algebraic number theory and algebraic geometry. ...

at the

Steklov Institute of Mathematics Steklov Institute of Mathematics or Steklov Mathematical Institute (russian: Математический институт имени В.А.Стеклова) is a premier research institute based in Moscow, specialized in mathematics, and a part ...

with a thesis on the

Burnside problem The Burnside problem asks whether a finitely generated group in which every element has finite order must necessarily be a finite group. It was posed by William Burnside in 1902, making it one of the oldest questions in group theory and was influ ...

. He became a faculty member at Moscow State University in 1963 and became a professor at the same university in 1976. In 1998, he became Honoured Professor of Moscow State University.

Prizes

Kostrikin was awarded the USSR State Prize in 1968 for his research on finite groups and

Lie algebra In mathematics, a Lie algebra (pronounced ) is a vector space \mathfrak g together with an Binary operation, operation called the Lie bracket, an Alternating multilinear map, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow ...

s and was elected the corresponding member of the USSR Academy of Sciences in 1976.

Books

Alexei Kostrikin published many scientific articles, books and textbooks, including a university textbook about algebra ''Introduction to algebra'', translated into English and other languages.

Selected publications

*''Around Burnside'', Springer Verlag 19902012 pbk reprint
*with

Pham Huu Tiep Pham Huu Tiep ( vi, Phạm Hữu Tiệp) is a Vietnamese American mathematician specializing in group theory and representation theory. He is currently a Joshua Barlaz Distinguished Professor of Mathematics at Rutgers University. Pham Tiep grad ...

''Orthogonal Decompositions and Integral Lattices''
de Gruyter 1994 *with Yuri Manin: ''Linear algebra and geometry'', Gordon and Breach 1989
1997 pbk edition
*''Introduction to Algebra'', Springer Verlag 1982 (Russian original 1977) *''Exercises in algebra: a collection of exercises in algebra, linear algebra and geometry'', Gordon and Breach 1996

References

External links