Giovanni Alberti (mathematician)

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

Giovanni Alberti

Alberti studied after graduating with Laurea in 1988 from the University of Pisa at the Scuola Normale Superiore in Pisa with Ennio de Giorgi . He then became a professor of analysis at the University of Pisa.

In 2002 he received the Caccioppoli Prize . The laudation highlighted:

  • Lusin-type theorems for gradients with applications to relaxation problems in the calculus of variations. He proved that every Borel vector field can be represented as a gradient field of a continuously differentiable function outside of a set of (a priori prescribed) small measure
  • His rank 1 theorem on a property of the distributional derivatives of functions of limited variation (BV) solved a conjecture by De Giorgi and Luigi Ambrosio (1988).

He also dealt with geometric measurement theory, gamma convergence in the calculus of variations, multi-scale problems, Ginzburg-Landau vortices and mathematical models for phase transitions.

Web links

Individual evidence

  1. ↑ Laudatory speech
  2. ^ Alberti A Lusin type theorem for gradients , Journal of Functional Analysis 100 (1991), 110--119
  3. ^ Alberti Integral representation of local functionals , Annali di Matematica Pura ed Applicata (Series 4) 165 (1993), 49--86
  4. ^ Alberti Rank one property for derivatives of functions with bounded variation , Proceedings of the Royal Society of Edinburgh, A 123, 1993, pp. 239-274
personal data
SURNAME Alberti, Giovanni
BRIEF DESCRIPTION Italian mathematician
DATE OF BIRTH March 21, 1965
PLACE OF BIRTH Ferrara