My research interests
Derivations of commutative rings
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
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.
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