Letterio Gatto

Letterio Gatto is a Tenured Associate Professor in the Department of Mathematical Sciences (DISMA) at Politecnico di Torino, Italy. His research focuses on algebraic geometry, commutative algebra, and their connections to mathematical physics. He has held visiting positions at Brazilian institutions including Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) and Conselho Nacional de Desenvolvimento Científico e Tecnológico. Gatto has been actively involved in international collaborations, particularly between Italy and Brazil, and has received several research awards including the Collectanea Mathematica's Distinguished Paper Award.

His educational background includes a Laurea in Matematica from Università di Torino (1987, 110/110 e Lode), a Dottorato di Ricerca in Matematica from Consorzio Universitario Torino-Genova (1988-1992), a Visiting Ph.D. student position at Boston University (January-June 1990), and a Postdoc at Rijkuniversiteit te Utrecht (1994-1995) with a NATO fellowship.

Gatto's research spans several interconnected areas in mathematics. His primary focus is on the application of Hasse-Schmidt derivations on exterior algebras to symmetric polynomials and Schubert calculus. He investigates vertex operators in Heisenberg's vertex algebra and their connections to bosonic and fermionic representations of infinite-dimensional Lie algebras. His work also extends to Wronskians and ordinary differential equations with indeterminate coefficients, as well as families of special Weierstrass points on complex algebraic curves. These research threads converge in his development of the theory of Hasse-Schmidt Derivations on Exterior Algebras (HiDEAs).

Gatto's recent publications demonstrate a consistent focus on algebraic structures related to exterior algebras and their applications. His work bridges commutative algebra, representation theory, and algebraic geometry. A notable trend is the exploration of connections between Grassmann algebras, Clifford algebras, and Lie algebra representations. His research has increasingly incorporated vertex operator techniques and their applications to Schubert calculus. The collaborative nature of his work is evident through partnerships with mathematicians across Europe and the Americas.

His major awards include:

• Collectanea Mathematica's Distinguished Paper Award (2022)
• MARM AWARD (Mentoring African Research in Mathematics) by London Mathematical Society
• Cientista Visitante fellowship from FAPESP (multiple periods)

Gatto has served on PhD committees at Università degli Studi di Torino for multiple cycles (32nd-34th). He has been a scientific responsible for the MARM Partnership project (2024-2025) between Politecnico di Torino and University of Lubumbashi. His grant activities include the MARM program (2020-2022) mentoring mathematics research at the University of Namibia. He has organized several international meetings including 'Mathematics Building Partnership with Africa' (2023) and 'A Fall Meeting in Algebraic Geometry and Related Topics' (2017). Gatto is part of the 'Algebraic, Computational and Differential Geometry' research group at DISMA and has been an active peer reviewer for numerous mathematical journals.