Jacob Palis was born in Uberaba, Minas Gerais. His father was a Lebanese immigrant, and his mother was a Syrian immigrant. The couple had eight children, and Jacob was the youngest. His father was a merchant, owner of a large store, and supported and funded the studies of his children. Palis said that he already enjoyed mathematics in his childhood. At 16, Palis moved to Rio de Janeiro to study engineering at the University of Brazil – now UFRJ. He was approved in first place in the entrance exam, but was not old enough to be accepted; he then had to take the university's entry exam again a year later, at which again he obtained first place. He completed the course in 1962 with honours and receiving the award for the best student. In 1964, he moved to the United States. In 1966 he obtained his master's degree in mathematics under the guidance of Stephen Smale at the University of California, Berkeley, and in 1968 his Ph.D., with the thesis On Morse-Smale Diffeomorphisms, again with Smale as advisor. In 1968, he returned to Brazil and became a researcher at the Instituto Nacional de Matemática Pura e Aplicada in Rio de Janeiro, Brazil. Since 1973 he has held a permanent position as professor at IMPA, where he was director from 1993 until 2003. He was Secretary-General of the Third World Academy of Sciences from 2004 to 2006, and elected its President in 2006 and remained on position till December 2012. He was also president of the International Mathematical Union from 1999 to 2002. He is the current president of Brazilian Academy of Sciencessince 2007. Palis has advised more than forty Ph.D. students so far from more than ten countries.
Stability of Parameterized Families of Gradient Vector Fields, with F. Takens, Annals of Mathematics 118, 1983.
Cycles and Measure of Bifurcation Sets for Two-Dimensional Diffeomorphisms, with F. Takens, Inventiones Mathematicae 82, 1985.
Homoclinic Orbits, Hyperbolic Dynamic and Fractional Dimensions of Cantor Sets Contemporary Mathematics - American Mathematical Society, 58, 1987.
Hyperbolicity and Creation of Homoclinic Orbits, with F.Takens, Annals of Mathematics 125, 1987.
On the C1 Omega-Stability Conjecture, Publications Math. Institut Hautes Études Scientifiques, 66, 1988.
Bifurcations and Global Stability of Two-Parameter Families of Gradient Vector Fields with M. J. Carneiro, Publications Math. Institut Hautes Études Scientifiques 70, 1990.
"Homoclinic Tangencies for Hyperbolic Sets of Large Hausdorff Dimension", with J. C. Yoccoz, Acta Mathematica 172', 1994, pp. 91–136.
High Dimension Diffeomorphisms Displaying Infinitely Many Sinks, with M. Viana, Annals of Mathematics 140, 1994.
Homoclinic tangencies and fractal invariants in arbitrary dimension, with C. Moreira and M. Viana, C R Ac Sc Paris., 2001.
Nonuniformily hyperbolic horseshoes unleashed by homoclinic bifurcations and zero density of attractors, with J.-C. Yoccoz, C R Ac Sc Paris., 2001.
;Books published
Geometric Theory of Dynamical Systems, with W. de Melo. Springer-Verlag, 1982; also published in Portuguese, Russian and Chinese.
Hyperbolicity and Sensitive-Chaotic Dynamics at Homoclinic Bifurcations, Fractal Dimensions and Infinitely Many Attractors'', with F. Takens. Cambridge Univ. Press, 1993; Second Edition, 1994.
