Fertile complex surfaces in applications

Fortunately, this situation did not last long and in the years that followed, it turned out to be a prodigy in mathematics. It will stall twice the gold medal at the International Mathematical Olympiad in 1994 in Hong Kong in 1995, in Toronto with the highest score possible.

Fertile complex surfaces in applications

The work of the mathematician deal with the geometry and topology of the so-called Riemann surfaces , surfaces like a sphere or a pretzel whose description is closely related to the functions whose variables are numbers complex (for those who want to know more, the mathematician Étienne Ghys, CNRS research director at the Ecole Normale Supérieure de Lyon, recently devoted an entire article to Maryam Mirzakhani the must in the CNRS Images Math ).

The researcher was particularly interested in surfaces with a hyperbolic metric. coloring pages for boys The surface of a saddle, with its negative curvature different from that of a sphere which is positive, has a hyperbolic metric. With his colleague, mathematician Alex Eskin has established remarkable bridges between the theory of Riemann surfaces and the theory of dynamical systems. As with the work of Yakov Sinai on ergodic theory, the two researchers used the behavior of the trajectories of balls on pool tables of various shapes to explore the behavior of some of these dynamic systems.