Chantal David (born 1964) is a
French Canadian
French Canadians, referred to as Canadiens mainly before the nineteenth century, are an ethnic group descended from French people, French colonists first arriving in Canada (New France), France's colony of Canada in 1608. The vast majority of ...
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 ...
who works as a professor of mathematics at
Concordia University
Concordia University () is a Public university, public English-language research university located in Montreal, Quebec, Canada. Founded in 1974 following the merger of Loyola College (Montreal), Loyola College and Sir George Williams Universit ...
. Her interests include
analytic number theory
In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. It is often said to have begun with Peter Gustav Lejeune Dirichlet's 1837 introduction of Dir ...
,
arithmetic statistics, and
random matrix theory, and she has shown interest in
elliptic curves
In mathematics, an elliptic curve is a Smoothness, smooth, Projective variety, projective, algebraic curve of Genus of an algebraic curve, genus one, on which there is a specified point . An elliptic curve is defined over a field (mathematics), ...
and
Drinfeld modules. She is the 2013 winner of the
Krieger–Nelson Prize, given annually by the
Canadian Mathematical Society
The Canadian Mathematical Society (CMS; French: ''Société mathématique du Canada'') is an association of professional mathematicians dedicated to advancing mathematical research, outreach, scholarship and education in Canada. The Society se ...
to an outstanding female researcher in mathematics.
Education and career
David completed her doctorate in mathematics in 1993 at
McGill University
McGill University (French: Université McGill) is an English-language public research university in Montreal, Quebec, Canada. Founded in 1821 by royal charter,Frost, Stanley Brice. ''McGill University, Vol. I. For the Advancement of Learning, ...
, under the supervision of
Ram Murty.
Her thesis was entitled ''Supersingular Drinfeld Modules''.
In the same year, she joined the faculty at Concordia University.
She became the deputy director of the
Centre de Recherches Mathématiques The Centre de recherches mathématiques (CRM) is the first mathematical research institute in Canada, located at the Université de Montréal.
The CRM has ten research laboratories, one in each of: mathematical analysis, number theory and symbolic ...
in 2004.
In 2008, David was an invited professor at
Université Henri Poincaré.
She spent September 2009 through April 2010 at the
Institute for Advanced Study
The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...
.
From January through May 2017, she co-organized a program on analytic number theory at the
Mathematical Sciences Research Institute
The Simons Laufer Mathematical Sciences Institute (SLMath), formerly the Mathematical Sciences Research Institute (MSRI), is an independent nonprofit mathematical research institution on the University of California campus in Berkeley, Califor ...
.
Research
In 1999, David published a paper with
Francesco Pappalardi which proved that the
Lang–Trotter conjecture holds in most cases.
She has shown that for several families of curves over
finite fields
In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements. As with any field, a finite field is a set on which the operations of multiplication, addition, subt ...
, the zeroes of
zeta functions
In mathematics, a zeta function is (usually) a function analogous to the original example, the Riemann zeta function
: \zeta(s) = \sum_^\infty \frac 1 .
Zeta functions include:
* Airy zeta function, related to the zeros of the Airy function
* A ...
are compatible with the Katz–Sarnak conjectures.
She has also used random matrix theory to study the zeroes in families of elliptic curves.
David and her collaborators have exhibited a new
Cohen–Lenstra phenomenon for the group of points of elliptic curves over finite fields.
Awards and honors
David was awarded the
Krieger-Nelson Prize by the Canadian Mathematical Society in 2013.
References
External links
*
1964 births
Place of birth missing (living people)
Living people
Canadian mathematicians
Women mathematicians
21st-century Canadian women scientists
Academic staff of Concordia University
McGill University Faculty of Science alumni
Number theorists
French mathematicians
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