[2] Nicoletti received his laurea in 1894 from the Scuola Normale di Pisa.
After two years, he returned to Pisa, where he was a teacher of algebra, and then, after the death of Ulisse Dini, of infinitesimal calculus.
[3] He published works in various fields of mathematics, including numerical analysis, infinitesimal analysis, the equations related to hermitian matrices, and differential equations.
He made original contributions to Max Dehn's theory of the equivalence of polyhedra under polyhedral dissection and reassembly (scissors-congruence), extending and generalizing the theory with an entire class of new relations.
Nicoletti collaborated in the writing of Enciclopedia Hoepli delle Matematiche elementari e complementi (published from 1930 to 1951) with the contribution of two monographic articles: Forme razionali di una o più variabili (Rational forms of one or more variables) and Proprietà generali delle funzioni algebriche (General properties of algebraic functions).