A study about algebraic number theory and lattices

• Grant number: 21/11311-3
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: January 01, 2022
• End date: December 31, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Robson Ricardo de Araujo
• Grantee: Samantha Pedroso
• Host Institution: Instituto Federal de Educação, Ciência e Tecnologia de São Paulo (IFSP). Campus Cubatão. Cubatão , SP, Brazil

Abstract

This work is a study, at the undergraduate level, about basic aspects of algebraic number theory and its connections with lattice theory, including approaches to integral and algebraic elements, number fields, rings of integers, cyclotomic fields, Minkowski embedding, algebraic lattices, decomposition of ideals, among others. (AU)