Luca Migliorini

Luca Migliorini (born June 3, 1961 in Florence ) is an Italian mathematician who deals with algebraic geometry .

Migliorini studied mathematics at the University of Florence with the Laureate degree in 1985 and PhD in 1990. In 1986/87 he did his military service and in 1988/89 he was with Yum-Tong Siu at Harvard University . From 1990 to 1999 he conducted research at the University of Florence, became professor at the University of Trento in 1999 and at the University of Bologna in 2001 .

Among other things, he was visiting professor at Harvard University (1999), the University of Nice, the Centro Matematico Ennio de Giorgi in Pisa, the Ruhr University Bochum , the State University of New York at Stony Brook , visiting scholar at IHES , the Institut Henri Poincaré and the Max Planck Institute for Mathematics in Bonn (1997) 2005 at the Institute for Advanced Study .

Migliorini deals with Hodge theory and perverse sheaves with application in algebraic geometry and representation theory. In 2003, together with Mark Andrea de Cataldo, he gave a new geometric proof of the decomposition theorem by Joseph Bernstein , Pierre Deligne , Alexander Beilinson and Ofer Gabber (1982), a deep-seated result of the topology of algebraic varieties.

Fonts

with Mark Andrea de Cataldo : The Decomposition theorem, perverse sheaves and the topology of algebraic maps. In: Bulletin of the American Mathematical Society . Volume 46, No. 4, 2009, pp. 535-633, ( online ).
with Mark Andrea de Cataldo: What is a perverse sheaf? In: Bulletin of the American Mathematical Society . Volume 57, No. 5, 2010, pp. 632-634, ( online ).

Web links

Homepage

Individual evidence

^ Mark Andrea A. de Cataldo, Luca Migliorini: The Hodge Theory of Algebraic Maps. In: Annales scientifiques de l'École normal supérieure . Series 4, Volume 38, No. 5, 2005, pp. 693-750, doi : 10.1016 / j.ansens.2005.07.001 .

personal data
SURNAME	Migliorini, Luca
BRIEF DESCRIPTION	Italian mathematician
DATE OF BIRTH	June 3, 1961
PLACE OF BIRTH	Florence

[1] Mark Andrea A. de Cataldo, Luca Migliorini: The Hodge Theory of Algebraic Maps. In: Annales scientifiques de l'École normal supérieure . Series 4, Volume 38, No. 5, 2005, pp. 693-750, doi : 10.1016 / j.ansens.2005.07.001 .