He graduated in mathematics in 1880 at the University of Rome, where he was a student of Luigi Cremona.

His doctoral thesis was presented at the Reims scientific congress and then published with the title "On a class of surfaces representable point by point on a plane" in the "Comptes-rendus de l'Association française pour l'avancement des sciences".

In 1887 the French journal Comptes Rendus published his article "Theorem on the singular points of an algebraic surface".

[3] In 1889, having applied for a chair, he was appointed full professor of geometry at the University of Palermo, a position which he held for the rest of his life.

Michele Gebbia (1854-1929), Giovanni Maisano (1851-1929), Michele Luigi Albeggiani (1852-1943) and Francesco Paolo Paternò (1852-1927) were instrumental in assisting Guccia in bringing the Rendiconti to press.