Gabriella Pinzari is an Italian mathematician known for her research on the -body problem.

Research

Pinzari's research on the -body problem has been described as "the most natural way to apply" the

Kolmogorov–Arnold–Moser theorem The Kolmogorov–Arnold–Moser (KAM) theorem is a result in dynamical systems about the persistence of quasiperiodic motions under small perturbations. The theorem partly resolves the small-divisor problem that arises in the perturbation theory ...

to the problem. The original work of

Vladimir Arnold Vladimir Igorevich Arnold (or Arnol'd; , ; 12 June 1937 – 3 June 2010) was a Soviet and Russian mathematician. He is best known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, and contributed to s ...

on this theorem attempted to use it to show the stability of the

Solar System The Solar SystemCapitalization of the name varies. The International Astronomical Union, the authoritative body regarding astronomical nomenclature, specifies capitalizing the names of all individual astronomical objects but uses mixed "Sola ...

or similar systems of planetary orbits, but this worked only for the

three-body problem In physics, specifically classical mechanics, the three-body problem is to take the initial positions and velocities (or momenta) of three point masses orbiting each other in space and then calculate their subsequent trajectories using Newton' ...

because of a degeneracy in Arnold's mathematical framework. Pinzari showed how to eliminate this problem, and extended the solution to larger numbers of bodies, by developing "a rotation-invariant version of the KAM theory".

Education and career

Pinzari earned master's degrees in both physics and mathematics from

Sapienza University of Rome The Sapienza University of Rome (), formally the Università degli Studi di Roma "La Sapienza", abbreviated simply as Sapienza ('Wisdom'), is a Public university, public research university located in Rome, Italy. It was founded in 1303 and is ...

, in 1990 and 1996 respectively. She completed her doctorate in 2009 at

Roma Tre University Roma Tre University () is an Italian public research university in Rome, Italy. All its offices and departments are located in the Ostiense district area. Founded in 1992 by the Ministry of Public Education, under the request of several prof ...

under the supervision of Luigi Chierchia. She joined the faculty of the

University of Naples Federico II The University of Naples Federico II (; , ) is a public university, public research university in Naples, Campania, Italy. Established in 1224 and named after its founder, Frederick II, Holy Roman Emperor, Frederick II, it is the oldest public, s ...

since 2013, and later moved to the

University of Padova The University of Padua (, UNIPD) is an Italian public research university in Padua, Italy. It was founded in 1222 by a group of students and teachers from the University of Bologna, who previously settled in Vicenza; thus, it is the second-oldest ...

Recognition

She was an Invited Speaker at the 2014

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...

, in

Seoul Seoul, officially Seoul Special Metropolitan City, is the capital city, capital and largest city of South Korea. The broader Seoul Metropolitan Area, encompassing Seoul, Gyeonggi Province and Incheon, emerged as the world's List of cities b ...

, speaking on her work in the session on

dynamical system In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space, such as in a parametric curve. Examples include the mathematical models ...

s and

ordinary differential equation In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable (mathematics), variable. As with any other DE, its unknown(s) consists of one (or more) Function (mathematic ...

References

Year of birth missing (living people) Living people Italian mathematicians Italian women mathematicians Sapienza University of Rome alumni Academic staff of the University of Naples Federico II {{italy-mathematician-stub