Singularities of smooth function germs

• Grant number: 16/11732-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2016
• End date: August 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: João Carlos Ferreira Costa
• Grantee: Daniel Silva Costa Ferreira
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Associated research grant: 14/00304-2 - Singularities of differentiable mappings: theory and applications, AP.TEM

Abstract

The main goal of this work is to study the classification problem of singularities until codimension 5, up to R-equivalence. The contents of the project are based in a introductory course of Singularity Theory, which is not given in a regular course of Mathematics.