Víctor Arturo Martínez León
Víctor Arturo Martínez León
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I hold a bachelor's degree in Mathematics from the Universidad Nacional Mayor de San Marcos (2007), a master's degree (2013), a doctorate (2016), and a post-doctorate (2019) in Mathematics from the Universidade Federal do Rio de Janeiro. I am currently a professor at the Universidade Federal da Integração Latino-Americana. I have experience in the area of Mathematics, with emphasis on Holomorphic Foliations, Differential Equations and Differential Geometry.
Publications
Stable Singularities and Stable Leaves of Holomorphic Foliations in Dimension Two (with Bruno Scárdua), Moscow Mathematical Journal (2018).
Irreducible holonomy groups and Riccati foliations in higher complex dimension (with Mitchael Martelo and Bruno Scárdua), Journal of Singularities (2019).
Irreducible holonomy groups and first integrals for holomorphic foliations (with Mitchael Martelo and Bruno Scárdua), Forum Mathematicum (2020).
On a Theorem of Lyapunov-Poincaré in Higher Dimensions (with Bruno Scárdua), Arnold Mathematical Journal (2021).
Um problema de navegação de Zermelo: Métrica de Funk (com Newton Solórzano, Luz Quevedo e Junior Moyses), REMAT: Revista Eletrônica da Matemática (2021).
A geometric-analytic study of linear differential equations of order two (with Bruno Scárdua), Electronic Research Archive (2021).
Analysis of third order linear analytic differential equations with a regular singularity: Bessel and other classical equations (with Alexis Rodríguez and Bruno Scárdua), Annals of Mathematical Sciences and Applications (2021).
A complete Frobenius type method for linear partial differential equations of order three (with Bruno Scárdua), Differential Equations & Applications (2021).
Buena colocación para un sistema termoelástico lineal con condiciones de frontera periódicas (con George Bautista y Oscar Fonseca), Hatun Yachay Wasi (2022).
Geometría de las curvas matriciales 2x2 (con Newton Solórzano, Alexis Rodríguez y Karen Gaviria), Selecciones Matemáticas (2022).
Homologically trivial integrable deformations of germs of holomorphic function (with Bruno Scárdua), Journal of Singularities (2022)
On integral conditions for the existence of first integrals for analytic deformations of complex saddle singularities (with Bruno Scárdua), Journal of Dynamical and Control Systems (2023).
Frobenius methods for analytic second order linear partial differential equations (with Bruno Scárdua), Selecciones Matemáticas (2023).
On cylindrical symmetric projectively flat Finsler metrics (with Newton Solórzano), Journal of Geometry and Physics (2023).
Sobre as parábolas de Funk (com Newton Solórzano e Junior Moyses), REMAT: Revista Eletrônica da Matemática (2024)
Exponential stability of the energy in Naghdi shell model with localized internal dissipation and internal exact controllability (with Alexis Rodríguez, José Ponte and Juan Ponte), Journal of Mathematical Analysis and Applications (2024).
On real center singularities of complex vector fields on surfaces (with Bruno Scárdua), Dynamical Systems: An International Journal (2024).
Regularity, synthesis, rigidity and analytic classification for linear ordinary differential equations of second order (with Bruno Scárdua), Journal of AppliedMath (2024).
Geometria de uma métrica euclidiana perturbada (com Newton Solórzano, Jonny Ardila e Junior Sosa). Revista Sergipana de Matemática e Educação Matemática (2024).
Uma revisão abrangente sobre a caracterização dos números reais (com Rodrigo Bloot e Ana Letícia de Oliveira). Selecciones Matemáticas (2024).
Geometry of a Navigation problem: The λ -Funk Finsler Metrics (with Newton Solórzano, Alexandre Henrique and Marcelo Souza). Revista Ciência e Natura (2025).
Cônicas nas métricas da Soma e do Máximo (com Newton Solórzano, John Mosquera e Jesika Maganin). Revista Sergipana de Matemática e Educação Matemática (2025).
PrePrints
On holomorphic C*-actions (with Bruno Scárdua), arXiv (2024).
The Bruce-Roberts number of holomorphic 1-forms along complex analytic varieties (with Pedro Barbosa and Arturo Fernández-Pérez). arXiv (2024).
The Bruce-Roberts Tjurina number of holomorphic 1-forms along complex analytic varieties (with Pedro Barbosa and Arturo Fernández-Pérez). arXiv (2024).
On cylindrical symmetric Finsler metrics with vanishing Douglas curvature (with Newton Solórzano, Dik Lujerio, Alexis Rodríguez). arXiv (2024).
ECO signatures from the Weyl-induced gravitational waveform injection (with Abraão Capistrano, Newton Solórzano). arXiv (2025).
Geometry of a Perturbed Funk Metric on the Unit Disk (with Newton Solórzano, Abraham Muñoz, Emanuelle Tadei). Submitted (2025).
Parábolas λ -Funk (com Newton Solórzano, Alexandre Henrique, Emanuelle Tadei). Submetido para publicação (2025).
Books
Introdução à geometria e topologia dos sistemas dinâmicos em superfícies e além (com Bruno Scárdua). 1. ed. Rio de Janeiro: IMPA, 2021. v. 33. 284p .
Equações diferenciais: Um curso universitário - Parte I: Equações ordinárias (com Bruno Scárdua). 1. ed. São Paulo: Livraria da Física, 2022. 776p.
Primeiros Passos em Dinâmica (com Bruno Scárdua). 1. ed. Rio de Janeiro: IMPA, 2025. v. 35. 312p .
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