Alberto Tognoli

Alberto Tognoli (born 26 July 1937, Brescia) is an Italian mathematician, who works on algebraic geometry.

Tognoli received his Ph.D. (Laurea) in 1960 from the University of Pisa. He was a professor of geometry at the University of Trento from 1986 until his retirement as professor emeritus in 2005.

He is known for his research on Nash functions and Nash manifolds (named after John Nash). 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).

He received in 1974 the Caccioppoli Prize and in 1988 the Gold Medal in Mathematics of the Accademia dei XL.

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