page_title: Alberto Tognoli
hierarchical_section_title: Alberto Tognoli
caption_attribution_description: English: Alberto Tognoli, Urbino 1967
context_page_description: Alberto Tognoli is an Italian mathematician, who works on algebraic geometry.
  Tognoli received his Ph.D. in 1960 from the University of Pisa. From 1970 he was an ordinary professor at the Scuola Normale di Pisa, he also taught in Cosenza, Ferrara, Paris and Tours. He was also 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. He proved Nash's conjecture that smooth compact manifolds are diffeomorphic to non-singular real algebraic manifolds.
  He received in 1974 the Caccioppoli Prize and in 1988 the Gold Medal in Mathematics of the Accademia dei XL.
  Alberto Tognoli died in Rapallo Italy on 03 March 2008.
  A funny anecdote: Once, at the end of a seminar, which had concluded in half the time available to him, a distinguished colleague, referring to the object of the conference whose author had not been mentioned, commented: "Very nice, Who did it? " Alberto, pointing himself with his thumb, answered naturally: "Me"
  Selected publications
  Algebraic Geometry and Nash Functions, Institutiones Mathematicae, Academic Press 1978
  as editor with M.
context_section_description: 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. From 1970 he was an ordinary professor at the Scuola Normale di Pisa, he also taught in Cosenza, Ferrara, Paris and Tours. He was also 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.
  Alberto Tognoli died in Rapallo (Ge) Italy on 03 March 2008.
  A funny anecdote: Once, at the end of a seminar, which had concluded in half the time available to him, a distinguished colleague, referring to the object of the conference whose author had not been mentioned, commented: "Very nice, Who did it? " Alberto, pointing himself with his thumb, answered naturally: "Me"
  Selected publications
  Algebraic Geometry and Nash Functions, Institutiones Mathematicae, Academic Press 1978
  as editor with M. Galbiati: Real analytic and algebraic geometry : proceedings of the conference held in Trento, Italy, October 3–7, 1988, Lecture Notes in Mathematics 1420, Springer Verlag 1990
  Singularities of Analytic Spaces, CIME, Rom: Cremonese 1975
  Introduzione alla teoria degli spazi analitici reali, Rom, Accademia dei Lincei 1976
  Approximation theorems and Nash conjecture, Memoires SMF, 38, 1974, 53-68, numdam
  Algebraic approximation of manifolds and spaces, Seminaire Bourbaki, No. 548, 1979/80, numdam
  "Analyticity of homology classes". Proc. Amer. Math. Soc. 104: 920–922. 1988. doi:10.1090/s0002-9939-1988-0964874-2. MR 0964874.
  with Alessandro Tancredi: "On the products of Nash subvarieties by spheres". Proc. Amer. Math. Soc. 134: 983–987. 2006. doi:10.1090/S0002-9939-05-08246-8. MR 2196028.
caption: Alberto Tognoli (1967)
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