Alberto Tognoli (born 26 July 1937, Brescia, died 3 March 2008 in Rapallo) was an Italian mathematician, who worked on algebraic geometry.
Tognoli received his Ph.D. (Laurea) in 1960 from the University of Pisa.
From 1970 he became full professor at the same university, and he also taught in Cosenza, Ferrara, Paris and Tours.
He proved Nash's conjecture that smooth compact manifolds are diffeomorphic to non-singular real algebraic manifolds (known as the Theorem of Nash and Tognoli).
[2] He received in 1974 the Caccioppoli Prize and in 1988 the Gold Medal in Mathematics of the Accademia dei XL.