Grant: Canada Research Chairs
University of Waterloo
$150,000.00
Number Theory
EF 2023-24
Résumé
The Chair will investigate several open questions in number theory concerning the distribution of
prime numbers and the solution of equations in integers or rational numbers. These topics have
a distinguished history which can be traced back to the ancient Greeks and yet they are relevant
today in the development of error correcting codes and for cryptographic purposes. Work will
focus on the abc conjecture which is one of the most important conjectures in mathematics. It
provides a link between the additive and multiplicative structure of the integers and many of the
most interesting questions in number theory depend on this link.
Programme
Canada Research Chairs
Bénéficiaire
Emplacement
Ontario, Canada
Type de bénéficiaire
Academia
Type
Grant
Source
NSERC's Awards Data
Tel que publié
Application id
CRC-2015-00066
Name nom
Stewart, Cameron
Department département
Head Office
Organization id
33
Institution établissement
University of Waterloo
Province en
Ontario
Province fr
Ontario
Country en
CANADA
Country fr
CANADA
Fiscal year exercice financier
2023
Competition year année de concours
2015
Award amount
150000
Program id
CRC
Program name en
Canada Research Chairs
Program name fr
Chaires de recherche du Canada
Group en
DISCOVERY RESEARCH
Group fr
RECHERCHE AXÉE SUR LA DÉCOUVERTE
Committee code
9998
Committee name en
Canada Research Chair Selection Committee
Committee name fr
Comité de sélection des Chaires de recherche du Canada
Area of application code
9999
Area of application group en
Not available
Area of application group fr
Non disponible
Area of application en
Not available
Area of application fr
Non disponible
Research subject code
10000
Research subject group en
The field of research available
Research subject group fr
The field of research available
Research subject en
Le domaine de recherche disponible
Research subject fr
Le domaine de recherche disponible
Field of research list codes
RDF10101;RDF10102
Field of research list names en
Pure mathematics;Applied mathematics
Field of research list names fr
Mathématiques pures;Mathématiques appliquées
Application title
Number Theory
Keyword
Diophantine approximation
exponential sums
sieves
; number theory
cryptography
Application summary
The Chair will investigate several open questions in number theory concerning the distribution of
prime numbers and the solution of equations in integers or rational numbers. These topics have
a distinguished history which can be traced back to the ancient Greeks and yet they are relevant
today in the development of error correcting codes and for cryptographic purposes. Work will
focus on the abc conjecture which is one of the most important conjectures in mathematics. It
provides a link between the additive and multiplicative structure of the integers and many of the
most interesting questions in number theory depend on this link.
