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· Institute of Mathematics and Statistics ·

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Edson de Faria
Address:	University of Sao Paulo Dept. of Applied Mathematics Sao Paulo, SP 05508-090 BRAZIL
Phone:	55 11 3091.6136
Fax:	55 11 3091.6131
Office:	294 A IME-USP
E-mail:	edson@ime.usp.br

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Biographical Information

While still in high school, Edson de Faria was awarded first prize in the First Brazilian Mathematical Olympiad, held in 1979, and represented Brazil in the Twenty-first International Mathematical Olympiad held in London, in the same year. He started his studies at the University of Sao Paulo in 1980, obtaining a BS degree in Physics in 1983. He was hired as a lecturer at the Department of Applied Mathematics of that same university in November, 1983. From 1984 until mid 1985 he was a graduate student at the Department of Applied Mathematics of the University of Sao Paulo. He wrote a dissertation on Hausdorff dimension of fractal sets, obtaining his MSc degree in Applied Mathematics in August, 1985. He went to New York City in September 1985 to become a Ph.D. student at the Mathematics Department of the City University of New York. There he was fortunate enough to have as advisor Dennis Sullivan, one of the foremost American mathematicians of all time. Under Sullivan's supervision, he wrote a thesis entitled ``Proof of universality for critical circle mappings'', obtaining his Ph.D. degree from CUNY in 1992.

Immediatelly after his thesis defense, de Faria received an invitation from Thomas Spencer to spend the Fall semester of 1992 at the Institute for Advanced Study, Princeton, NJ. Upon his return to USP in January, 1993, he rejoined the faculty of the Department of Applied Mathematics as an Assistant Professor. Around that time, he initiated a long-lasting collaboration with Welington de Melo (IMPA) dedicated to the study of rigidity and universality properties of one-dimensional maps. From September 1995 until December 1996, he held one-semester visiting appointments at Institut fur Mathematik of ETH-Zurich, Institut des Hautes Etudes Scientifiques (IHES) at Bures-sur-Yvette, and Institute of Mathematical Sciences of SUNY at Stony Brook. He became Associate Professor at the Department of Applied Mathematics of IME-USP in 1997.

Edson de Faria's research efforts are mainly dedicated to the field of Dynamical Systems, especially to the interface between real and complex analytic one-dimensional systems. His research interests include iteration of analytic maps, deformation of complex structures and Riemann surface theory, rigidity and universality of unimodal maps and circle homeomorphisms. His work on this last topic (jointly with Welington de Melo) was cited by Curt McMullen in his Fields Medal lecture in Berlin, 1998, as one of the main applications of McMullen's rigidity and flexibility theory.
 
 

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