Enrique Ramiro Pujals is a Brazilian mathematician known for his contributions to the understanding of dynamical systems.^[2][3] Since fall of 2018, he has been a professor at the Graduate Center at the City University of New York.^[4]

Education

After earning an undergraduate degree in mathematics at the University of Buenos Aires in 1992, he became a Ph.D. student at the Instituto Nacional de Matemática Pura e Aplicada, where he was a student of Jacob Palis, completing his Ph.D. in 1996.^[5] He was a Guggenheim Fellow in 2000.^[6] Before moving to CUNY in 2018, he was a faculty member at IMPA since 2003.^[7]

Awards

He was an invited speaker at the International Congress of Mathematicians in Beijing 2002.^[8][9] Won the ICTP Ramanujan Prize (2008), UMALCA Prize in Mathematics (2004),^[10] TWAS Prize in Mathematics^[11] (2009), is a member of the Brazilian Academy of Sciences^[12] and receive the Brazilian National Order of Scientific Merit in 2013^[13].

Selected publications

• Pujals, E. R. ; Sambarino, M. "Homoclinic tangencies and hyperbolicity for surface diffeomorphisms". Annals of Mathematics, Princeton, v. 151, n. 3, pp. 961–1023, 2000.
• Pujals, E. R. ; Sambarino, M. "On the dynamics of dominated splitting", Annals of Mathematics, Princeton, (169) (2009), 675–740.
• Bonatti, C. ; Diaz, L. ; Pujals, E. R. "A C1-generic dichotomy for diffeomorphisms: Weak forms of hyperbolicity or infinitely many sinks or sources". Annals of Mathematics, Princeton, v. 158, pp. 355–418, 2003.
• Morales, C.; Pacifico, M.J.; Pujals, E. R. Robust transitive singular sets for $3-flows are partially hyperbolic attractors or repellers, Annals of Mathematics, Princeton. 160, no 2, (2004), 375–432
• S. Crovisier, E.R. Pujals, Essential hyperbolicity and homoclinic bifurcations: a dichotomy phenomenon/mechanism for diffeomorphisms, Inventiones Mathematicae, (2015) Volume 201, Issue 2, 385–517.
• L. Diaz, E.R. Pujals, R. Ures, Partial hyperbolicity and robust transitivity, Acta Mathematica 183, no. 1 (1999), 1–43

References