Introduction to complex numbers, hypercomplex numbers, and applications.

• Grant number: 25/02399-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2025
• End date: April 30, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Raimundo Nonato Araújo dos Santos
• Grantee: Matheus Muzza Pires Ferreira
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The aim of this project is to develop an algebraic-geometric studies on the structures of complex numbers, hypercomplex numbers, e use their main techniques to model and solve classical problems of Plane Euclidean geometry, spacial geometry, and on higher dimensional spaces involving some symmetries.