Education
Tognoli received his Doctor of Philosophy (Laurea) in 1960 from the University of Pisa.
mathematician university professor
Tognoli received his Doctor of Philosophy (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).