Publications

My research is in algebra, with a particular focus on polynomial identity theory for associative and non-associative algebras, and algebraic structures endowed with additional structures such as gradings, involutions, and derivations. My work aims to understand polynomial identities and their asymptotic behaviour through the development and interplay of algebraic, combinatorial, and representation-theoretic methods.

• W-algebras with involution: polynomial identities and asymptotic growth
  Joint work with G. Giordani, A. Ioppolo. arXiv:2610.10406

• Differential varieties of upper triangular matrices
  Joint work with  D. La Mattina. arXiv:2608.11032

• On anti-left-invariant and left-invariant pseudo-Euclidean nearly associative algebras
  Joint work with E. Barreiro, S. Benayadi, H. El Ouali. arXiv:2608.01329

• On W-algebras and their polynomial identities: recent developments and perspectives
  DMUC 26-55 preprint (Accepted for publication in: Polynomial Identities and Related Topics, Springer INdAM Series)

• Differential identities of matrix algebras
  Joint work with J. Brox. arXiv:2403.09337

• Multipliers, W-algebras and the growth of generalized polynomial identities
  Joint work with F. Martino. Bulletin of the London Mathematical Society (2026)

• Varieties of graded W-algebras and asymptotic behavior of codimension growth
  Joint work with G.Busalacchi and F. Martino. Linear Algebra and Its Applications (2026)

• Bialgebra theory for nearly associative algebras and LR-algebras: equivalence, characterization, and LR-Yang-Baxter Equation
  Joint work with E. Barreiro and S. Benayadi. Linear Algebra and Its Applications (2025)

• The 2x2 upper triangular matrix algebra and its generalized polynomial identities
  Joint work with F. Martino. Journal of Algebra (2025)

• Nearly associative algebras
  Joint work with E. Barreiro and S. Benayadi. Journal of Algebra (2024)

• Differential codimensions and exponential growth
  Linear Algebra and Its Applications (2023)

• Differential identities and varieties of almost polynomial growth
  Joint work with F. Martino. Israel Journal of Mathematics (2023)

• Differential identities and polynomial growth of the codimensions
  Joint work with R.B. dos Santos and  A.C. Vieira. Algebra and Representation Theory (2023)

• Central polynomials of graded algebras: capturing their exponential growth
  Joint work with D. La Mattina and F. Martino. Journal of Algebra (2022)

• Growth of central polynomials of algebras with involution
  Joint work with F. Martino. Transactions of the American Mathematical Society (2022)

• Growth of differential identities
  Polynomial Identities in Algebras, Springer INdAM Series (2021)

• Algebras with involution and multiplicities bounded by a constant
  Journal of Algebra (2020)

• The Grassmann algebra and its differential identities
  Algebra and Representation Theory (2020)

• Differential identities, 2x2 upper triangular matrices and varieties of almost polynomial growth
  Joint work with A. Giambruno. Journal of Pure and Applied Algebra (2019)

Differential identities and almost polynomial growth. Star algebras and cocharacters. (2019)

Supervisor: Prof. Antonio Giambruno