Grant: Canada Research Chairs
The University of British Columbia
$200,000.00
Arithmetic geometry and algebraic number theory
FY 2024-25
Summary
Solving mathematical equations is an important aspect of humanity's quest for knowledge. Within this framework, one can explore solving equations which have rational numbers as coefficients. For this, one needs to understand possible field extensions of the field of rational numbers, where such solutions might lie. In mathematical parlance, one needs to understand the structure of the Galois group of the field of rational numbers. Ramdorai seeks to explore the Galois group using tools from Iwasawa theory, the theory of motives. Advances in Algebraic Number Theory in recent centuries are often a direct result of studying this central problem.
Program
Canada Research Chairs
Recipient
Location
British Columbia, Canada
Recipient Type
Academia
Type
Grant
Source
NSERC's Awards Data
As published
Application id
CRC-2017-00306
Name nom
Ramdorai, Sujatha
Department département
Mathematics - UBC
Organization id
2
Institution établissement
The University of British Columbia
Province en
British Columbia
Province fr
Colombie-Britannique
Country en
CANADA
Country fr
CANADA
Fiscal year exercice financier
2024
Competition year année de concours
2017
Award amount
200000
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
9999
Research subject group en
Not available
Research subject group fr
Non disponible
Research subject en
Not available
Research subject fr
Non disponible
Field of research list codes
RDF10101; RDF10103
Field of research list names en
Pure mathematics;Statistics
Field of research list names fr
Mathématiques pures;Statistique
Socioeconomic objective list names en
Not available
Socioeconomic objective list names fr
Non disponible
Application title
Arithmetic geometry and algebraic number theory
Keywords
Iwasawa theory; Motives; Galois representations; local global principles.
Application summary
Solving mathematical equations is an important aspect of humanity's quest for knowledge. Within this framework, one can explore solving equations which have rational numbers as coefficients. For this, one needs to understand possible field extensions of the field of rational numbers, where such solutions might lie. In mathematical parlance, one needs to understand the structure of the Galois group of the field of rational numbers. Ramdorai seeks to explore the Galois group using tools from Iwasawa theory, the theory of motives. Advances in Algebraic Number Theory in recent centuries are often a direct result of studying this central problem.
