Ricerc@Sapienza

• Group and Polynomial Identities in Group Rings. 

• Asymptotic Methods and Representation Theory in the investigation of PI-Algebras endowed with an involution or a G-grading.

• Arithmetic of modular group algebras: computation of the principal Lie parameters and of the corresponding parameters for the unit group.

• Dimension and Lie dimension subgroups. Polynomial ideals in group rings and corresponding subgroups. Connections with the Modular Isomorphism Problem.

• Restricted Lie algebras. Lie properties of restricted universal enveloping algebras.