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Ana Bela Cruzeiro (born 1957) is a Portuguese and Swiss mathematician whose research concerns
stochastic analysis Stochastic calculus is a branch of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals of stochastic processes with respect to stochastic processes. This field was created an ...
and the
Malliavin calculus In probability theory and related fields, Malliavin calculus is a set of mathematical techniques and ideas that extend the mathematical field of calculus of variations from deterministic functions to stochastic processes. In particular, it allows ...
, as well as the
differential equation In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, an ...
s used to model fluid dynamics and
quantum mechanics Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistr ...
. She is a professor of mathematics at the
Instituto Superior Técnico Instituto Superior Técnico MHSE • MHIP (IST, also known colloquially as Técnico, and stylized TÉCNICO LISBOA) is a public school of engineering and technology, part of University of Lisbon. It was founded as an autonomous school in 1911 ...
, part of the
University of Lisbon The University of Lisbon (ULisboa; pt, Universidade de Lisboa, ) is a public research university in Lisbon, and the largest university in Portugal. It was founded in 2013, from the merger of two previous public universities located in Lisbon, th ...
.


Education and career

After earning a master's degree in mathematics at the University of Lisbon in 1980, Cruzeiro studied mathematics at Pierre and Marie Curie University in Paris, earning a
diplôme d'études approfondies A Master of Advanced Studies or Master of Advanced Study (MAS, M.A.S., or MASt) is a postgraduate degree awarded in various countries. Master of Advanced Studies programs may be non-consecutive programs tailored for "specific groups of working pro ...
in 1982, a doctorat de troisième cycle in 1983, and a doctorat d'état in 1985. Her 1985 doctoral dissertation, ''Equations différentielles ordinaires et équations différentielles stochastiques sur l'espace de Wiener'', was supervised by Paul Malliavin. She also earned a habilitation (agregação) at the University of Lisbon in 1991. She has been on the faculty of the University of Lisbon since 1986, and became a full professor there in 2002.


Recognition

Cruzeiro is a corresponding member of the
Lisbon Academy of Sciences The Lisbon Academy of Sciences ( pt, Academia das Ciências de Lisboa) is Portugal's national academy dedicated to the advancement of sciences and learning, with the goal of promoting academic progress and prosperity in Portugal. It is one of Po ...
, elected in 2020.


References


External links


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* {{DEFAULTSORT:Cruzeiro, Ana Bela 1957 births Living people 20th-century Portuguese mathematicians 21st-century Portuguese mathematicians Women mathematicians University of Lisbon alumni University of Lisbon faculty