Fabrizio Catanese

Fabrizio Catanese (born March 16, 1950 in Florence ) is an Italian mathematician who deals with algebraic geometry and complex analysis (function theory of several complex variables) as well as with differential geometry, complex geometry and commutative and homological algebra.

Fabrizio Catanese, Oberwolfach 2011

Catanese took part in the Mathematics Olympiad in Moscow as a student in 1968 and studied at the Scuola Normale Superiore in Pisa and at the University of Pisa . In 1972 he completed his licensing and laureate degree (with Enrico Bombieri , Fibrati lineari analitici secondo Fischer Prill ) and was then assistant and from 1976 assistant professor at the University of Pisa. In 1980 he was given a full professorship there. In 1981/82 he was at the Institute for Advanced Study . From 1994 to 1997 he was professor at the Beniamino Segré Center of the Accademia dei Lincei in Rome. From 1997 to 2001 he was a professor at the University of Göttingen and in 2001 he became a professor at the University of Bayreuth .

Among other things, he dealt with the geometry of the focal points for algebraic varieties and with the modular spaces of algebraic surfaces. For example, he gave bounds for the dimension of the modular spaces of algebraic surfaces and examined their global properties (singularities, number of irreducible and connected components, etc.). In addition to classification in the complex, he also deals with the classification of algebraic surfaces in the real.

With Claude LeBrun he proved for all of them the existence of smooth compact -dimensional manifolds with two Einstein metrics whose scalar curvatures have opposite signs, thereby refuting a conjecture by Arthur Besse . ${\displaystyle k\geq 2}$ ${\displaystyle 4k}$

From 2007 to 2012 he was coordinator of the DFG research group Classification of algebraic surfaces and compact complex manifolds .

He was visiting professor at the University of California, San Diego , ETH Zurich , Stanford University , Florida State University , the University of Michigan in Ann Arbor, Columbia University and the Korea Institute for Advanced Study . He was also at the RIMS in Kyoto, at the Max Planck Institute in Bonn (where he was on the advisory board from 2000 to 2006), at the MSRI , the Isaac Newton Institute , the Henri Poincaré Institute , at the Mittag-Leffler Institute , in Hong Kong, Amsterdam, Utrecht and at the CIRM in Barcelona. In 2001 he became director of the mathematics department of the International Center for Theoretical Physics (ICTP) in Trieste and in 2005 he became director of the CIRM in Trento . In 1998 he became a member of the Accademia dei Lincei and in 2000 of the Göttingen Academy of Sciences . In 2015 he was elected to the Academia Europaea .

He is editor of the Journal of Algebraic Geometry.

In 1993 he received the gold medal of the Societa Italiana delle Scienze, in 1984 the Bartolozzi Prize and in 1974 the Prize of the Italian Mathematical Society.

In 2013, Fabrizio Catanese received the ERC Advanced Grant from the European Research Council for a five-year research project.

He is married to the mathematician Ingrid Bauer .

Fonts

• Babbage's conjecture, contact of surfaces, symmetric determinantal varieties and applications, Inventiones Mathematicae, Volume 63, 1981, pp. 433-465
• On the Moduli Spaces of Surfaces of General Type, J. Diff. Geometry, Volume 19, 1984, pp. 483-515.
• Moduli of surfaces of general type, Algebraic geometry - open problems, Proc. Conf., Ravello / Italy 1982, Lect. Notes Math. 997: 90-112 (1983)
• Automorphisms of Rational Double Points and Moduli Spaces of Surfaces of General Type ”, Comp. Math. 61 (1987) 81-102.
• with Claude LeBrun : On the scalar curvature of Einstein manifolds, Math. Res. Lett. 4, No. 6: 843-854 (1997).
• with C. Trifogli, Focal loci of algebraic varieties. I, Commun. Algebra 28, No. 12, (2000) 6017-6057.
• Moduli spaces of surfaces and real structures, Annals of Mathematics, Volume 158, 2003, pp. 577-592
• Moduli of algebraic surfaces, in Theory of Moduli , Proc. CIME 1985, Lecture Notes in Mathematics, Springer Verlag 1988, pp. 1–83

Web links

• Homepage

Individual evidence

1. ^ Mathematics Genealogy Project
2. ↑ Highest European research award for mathematicians from Bayreuth ( Memento of the original from December 24, 2013 in the Internet Archive ) Info: The archive link has been inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice.