Studied at Bologna , Pisa (where he graduated in 1884) with De Paolis and Torino with C. Segre and G. Peano. He taught geometry at Catania (since 1900) and Parma (since 1908).

He was one of the main Italian scholars in enumerative geometry (Pieri's formulas are still famous) and, above all, in foundations of geometry.

Among his students we cite G. Marletta.

Selected papers on foundations of geometry have been published by U.M.I. (1980).

Main commemorations and studies: B. Levi in Opere Scelte ; E. Marchisotto, Historia Math. , 20, 1993, 285-305.