Giovanni Alberti (mathematician)

Giovanni Alberti ( born March 21, 1965 in Ferrara ) is an Italian mathematician.

Alberti studied after the Laurea degree in 1988 at the University of Pisa at the Scuola Normale Superiore in Pisa in Ennio De Giorgi. After that, he was Professor of Analysis at the University of Pisa.

In 2002 he received the Caccioppoli Prize. In the eulogy were highlighted:

• Rates from Lusin type for gradients with applications to Relaxationsprobleme in the calculus of variations. He proved that every Borel vector field is represented as the gradient of a continuously differentiable function outside a set of ( a priori prescribed ) a small amount
• His rank 1 set on a property of the distributional derivatives of functions Limited variation (BV ) solved a conjecture of De Giorgi and Luigi Ambrosio (1988).

Next he worked on geometric measure theory, gamma - convergence in the calculus of variations, multi-scale problems, Ginzburg-Landau Vortices and mathematical models for phase transitions.