# My research interests

## Derivations of commutative rings

differential
algebra, rings of constants, polynomial and rational first integrals, simple
derivations, locally finite derivations, higher derivations,
differential Galois theory. skew polynomial rings of derivations type.
## Automorphisms of polynomial rings

the
jacobian conjecture, Newton polygons, tame generator conjecture, rings of
invariants, fourteenth problem of Hilbert, simple automorphisms.
## Actions and coactions of Hopf algebras on commutative algebras

algebra of (co)invariants, algebra of covariants, linearization of (co)actions.
## Commutative rings

Cohen-Macaulay rings, polynomial and power series rings, computer
algebra, Groebner basis.
## Lie algebras and associative rings

derivations and automorphisms. skew polynomial rings, Ore extensions.
## Elementary number theory

## Algebraic geometry

01.10.2015.