Continued fractions: an introduction to Diophantine approximation.

• Grant number: 24/03744-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2024
• End date: March 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Tiago Jardim da Fonseca
• Grantee: Laura Torquato Rangel
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 20/15804-1 - Periods and algebraicity, AP.JP

Abstract

This project is an introduction to diophantine approximation and its applications to number theory through the study of representations of real numbers as continued fractions.