Bi-Lipschitz Invariant Geometry

• Grant number: 13/22411-2
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: April 01, 2014
• End date: January 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Nivaldo de Góes Grulha Júnior
• Grantee: Thiago Filipe da Silva
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 15/09529-0 - Bi-Lipschitz invariant geometry, BE.EP.DR

Abstract

The goal of the project is to investigate algebraically and geometrically the bi-Lipschitz equivalence, as well as the stability of some invariants on surfaces or varieties bi-Lipschitz equivalent.

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

GAFFNEY, TERENCE; DA SILVA, THIAGO. Infinitesimal Lipschitz conditions on a family of analytic varieties: genericity and necessity. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. N/A, p. 32-pg., 2024-07-26. (13/22411-2)

GAFFNEY, TERENCE JAMES; DA SILVA, THIAGO FILIPE. The generic equivalence among the Lipschitz saturations of a sheaf of modules. RESEARCH IN THE MATHEMATICAL SCIENCES, v. 11, n. 2, p. 16-pg., 2024-06-01. (13/22411-2)

DA SILVA, THIAGO F.; GRULHA, JR., NIVALDO G.; PEREIRA, MIRIAM S.. The Bi-Lipschitz Equisingularity of Essentially Isolated Determinantal Singularities. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 49, n. 3, p. 637-645, SEP 2018. (13/22411-2, 17/09620-2)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SILVA, Thiago Filipe da. Bi-Lipschitz invariant geometry. 2018. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.