Charles Louis Fefferman (born April 18, 1949) is an American
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
at
Princeton University
Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...
, where he is currently the Herbert E. Jones, Jr. '43 University Professor of Mathematics. He was awarded the
Fields Medal
The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of Mathematicians, International Congress of the International Mathematical Union (IMU), a meeting that takes place e ...
in 1978 for his contributions to
mathematical analysis
Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series ( ...
.
Early life and education
Fefferman was born to a Jewish family, in Washington, DC. He was a
child prodigy
A child prodigy is, technically, a child under the age of 10 who produces meaningful work in some domain at the level of an adult expert. The term is also applied more broadly to describe young people who are extraordinarily talented in some f ...
, entered the
University of Maryland
The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public land-grant research university in College Park, Maryland, United States. Founded in 1856, UMD is the flagship institution of the Univ ...
at age 14,
and had written his first scientific paper by the age of 15.
He graduated with degrees in math and physics at 17, and earned his
PhD in mathematics three years later from
Princeton University
Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...
, under
Elias Stein. His doctoral dissertation was titled "Inequalities for strongly singular convolution operators". Fefferman achieved a full professorship at the
University of Chicago
The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, Chic ...
at the age of 22, making him the youngest full professor ever appointed in the United States.
Career
At the age of 25, he returned to Princeton as a full professor, becoming the youngest person to be promoted to the title. He won the
Alan T. Waterman Award in 1976
(the first person to get the award) and the
Fields Medal
The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of Mathematicians, International Congress of the International Mathematical Union (IMU), a meeting that takes place e ...
in 1978 for his work in
mathematical analysis
Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series ( ...
, specifically convergence and divergence.
He was elected to the
National Academy of Sciences
The National Academy of Sciences (NAS) is a United States nonprofit, NGO, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the ...
in 1979. He was appointed the Herbert Jones Professor at Princeton in 1984.
In addition to the above, his honors include the
Salem Prize in 1971, the
Bergman Prize in 1992, the
Bôcher Memorial Prize
The Bôcher Memorial Prize was founded by the American Mathematical Society in 1923 in memory of Maxime Bôcher with an initial endowment of $1,450 (contributed by members of that society). It is awarded every three years (formerly every five yea ...
in 2008, and the
Wolf Prize in Mathematics for 2017, as well as election to the
American Academy of Arts and Sciences
The American Academy of Arts and Sciences (The Academy) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and other ...
and the
American Philosophical Society
The American Philosophical Society (APS) is an American scholarly organization and learned society founded in 1743 in Philadelphia that promotes knowledge in the humanities and natural sciences through research, professional meetings, publicat ...
. In 2021 he was awarded the
BBVA Foundation Frontiers of Knowledge Award in Basic Sciences.
Fefferman contributed several innovations that revised the study of multidimensional complex analysis by finding fruitful generalisations of classical low-dimensional results. Fefferman's work on
partial differential equations
In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives.
The function is often thought of as an "unknown" that solves the equation, similar to how ...
,
Fourier analysis
In mathematics, Fourier analysis () is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fo ...
, in particular convergence, multipliers, divergence, singular integrals and
Hardy spaces
In complex analysis, the Hardy spaces (or Hardy classes) H^p are Function_space, spaces of holomorphic functions on the unit disk or upper half plane. They were introduced by Frigyes Riesz , who named them after G. H. Hardy, because of the paper . ...
earned him a
Fields Medal
The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of Mathematicians, International Congress of the International Mathematical Union (IMU), a meeting that takes place e ...
at the
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 ...
at
Helsinki
Helsinki () is the Capital city, capital and most populous List of cities and towns in Finland, city in Finland. It is on the shore of the Gulf of Finland and is the seat of southern Finland's Uusimaa region. About people live in the municipali ...
in 1978. He was a Plenary Speaker of the ICM in 1974 in Vancouver.
His early work included a study of the
asymptotics of the
Bergman kernel off the boundaries of
pseudoconvex domains in
.
He has studied mathematical physics,
harmonic analysis,
fluid dynamics
In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids – liquids and gases. It has several subdisciplines, including (the study of air and other gases in motion ...
,
neural network
A neural network is a group of interconnected units called neurons that send signals to one another. Neurons can be either biological cells or signal pathways. While individual neurons are simple, many of them together in a network can perfor ...
s,
geometry
Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...
,
mathematical finance
Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling in the financial field.
In general, there exist two separate branches of finance that req ...
and
spectral analysis, amongst others.
Family
Charles Fefferman and his wife Julie have two daughters, Nina and Lainie. Lainie Fefferman is a composer, taught math at
Saint Ann's School and holds a degree in music from
Yale University
Yale University is a Private university, private Ivy League research university in New Haven, Connecticut, United States. Founded in 1701, Yale is the List of Colonial Colleges, third-oldest institution of higher education in the United Stat ...
as well as a Ph.D. in music composition from Princeton. She has an interest in
Middle Eastern music.
Nina Fefferman is a computational biologist residing at the University of Tennessee whose research is concerned with the application of mathematical models to complex biological systems. Charles Fefferman's brother,
Robert Fefferman, is also a mathematician and former Dean of the Physical Sciences Division at the
University of Chicago
The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, Chic ...
.
[ Robert Fefferman webpage at the University of Chicago Office of the President]
Works
The following are among Fefferman's best-known papers:
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References
External links
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Charles Fefferman Curriculum Vitae*
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{{DEFAULTSORT:Fefferman, Charles
1949 births
Living people
20th-century American mathematicians
21st-century American mathematicians
Fields Medalists
Complex analysts
21st-century American Jews
American mathematical analysts
Partial differential equation theorists
Members of the United States National Academy of Sciences
Princeton University faculty
Princeton University alumni
University of Chicago faculty
Jewish American scientists
University of Maryland, College Park alumni
Sloan Research Fellows
Wolf Prize in Mathematics laureates
Mathematicians from Washington, D.C.
Members of the American Philosophical Society