CV

Academic degrees

Ph.D. in Mathematics, ICMC-University of São Paulo, Brazil, 2017.

MSc. in Mathematics, Federal University of Espírito Santo, Brazil, 2011.

Habilitation in Mathematics, Federal University of Acre, Brazil, 2003.

Professional Experience

Associate professor (Federal University of São Carlos) 05/2023 - till now

Adjunct professor (Federal University of São Carlos) 04/2020 - 05/2023

Visiting professor (Federal University of Espírito Santo) 01/2021 - 02/2021

Adjunct professor (Federal University of Acre) 03/2015 - 04/2020

Assistent professor (Federal University of Acre) 03/2011 - 03/2015

Auxiliar professor (Federal University of Acre) 11/2005 - 03/2011

Research Interests

1. Singularity Theory, with a special focus on determinantal varieties and their properties.

2. Bi-Lipschitz geometry in foliations, exploring the structure and geometric behavior of these configurations.

3. Representation Theory and Invariant Theory, applied to the study of Dynamical Systems with Symmetry, analyzing their structural properties and classifications.

Publications

1. Ribeiro, M. F. S. ; Nery, L. ; Silva, T. Poincaré duality and the existence of exotic structures on n-spheres. Latin American Journal of Mathematics, v. 01, p. 58-98, 2023. DOI: https://doi.org/10.14244/lajm.v2i01.25

2. Alcântara, M. A. ; Nery, L. The Fubini's Theorem for the Even Index Lie Subgroup. RCT: Revista de Ciência e Tecnologia, v. 9, p. 1-12, 2023. DOI: https://doi.org/10.18227/2447-7028rct.v95911

3. Manoel, M. ; Nery, L. Equivariant mappings and invariant sets on Minkowski space. Colloquium Mathematicum, v. 167, p. 93-107, 2022. DOI: https://doi.org/10.4064/cm7896-10-2020

4. Nery, L. Sobre o Anel dos Germes de Funções Holomorfas. Revista Elementos, v. 02, p. 87-95, 2012. DOI: https://doi.org/10.5281/zenodo.7926611

5. Nery, L. Semigrupos Associados a Germes de Curvas Planas Irredutíveis. Revista Elementos, v. 01, p. 64-76, 2011. DOI: https://doi.org/10.5281/zenodo.7926414

Preprint and submissions

1. (With Miriam Manoel) On affine homogeneous polynomial centrosymmetric matrices.

2. Invariant Theory Beyond Reductivity: Hilbert and Schwarz Theorems for Discrete Lorentz and Cocompact Groups

3. (With Kimberly Rocha, Jorgeane da Mota and Julio de Rose) Beyond Analogy: A Mathematical Analysis of Equivalence and Order Relations in Behavioral Science

4. (With Leonardo Câmara) Bi-lipschitz equivalence of holomorphic foliations and rigidity of quasi-homogeneous families.

Grants and Funding

FAPESP (Brazil), research grant n° 2022/12906-3 , 2023–2025.

CNPq (Brazil), research grant n° 403959/2023-3, 2023–2026.

Book Published

Nery, L. ; Reis, F. ; Ribeiro, M. Um curso de Álgebra Linear. 1. ed. São Carlos: Derive, 2023.

Research presented at academic events

1.

1. Matrizes centrossimétricas: uma jornada da história à aplicação. VIII Semat, UFSCar. Brazil. 2025.

2. Some Results on Invariant Theory on Minkowski Space. Colóquio de Matemática da UFAC. Brazil. 2025. 

3. A Hilbert basis for a class of non-compact groups in invariant theory. 18th International Workshop on Real and Complex Singularities. Spain. 2024.

4. Matrizes centrossimétricas em teoria invariante. XI Bienal de Matemática. SBM. Brazil. 2024.

5. Equivariant mappings on Minkowski space. 1st International School of Topology and Singularities of the State of Alagoas. Brazil. 2022. 

6. Reynolds operators for calculating the Hilbert basis. 5th Brazil-Chile-Mexico meeting on singularities and 2nd meeting on foliations and singularities. Brazil. 2022. 

7. Sobre aplicações equivariantes no espaço de Minkowski. Encontro Latino-Americano de Matemática e Aplicações. Brazil. 2021. 

8. Aplicações equivariantes e conjuntos invariantes no espaço de Minkowski. Colóquio de Matemática da UFAC. Brazil. 2020. 

9. Invariant polynomials by action of a Lie group of even index. 12th Mini Workshop on Singularities, Geometry and Differential Equations and 1st Meeting on Foliations and Singularities. Brazil. 2019. 

10. Invariant theory for the Lorentz group on the Minkowski space. 15th International Workshop on Real and Complex Singularities. Brazil. 2018. 

11. Reynolds operators for the calculation of the Hilbert base. International School on Singularities and Lipschitz Geometry. Mexico. 2018. 

12. Invariant theory for compact subgroups of the Lorentz group acting on the Minkowski space. 14th International Workshop on Real and Complex Singularities. Brazil. 2016. 

13. On invariants polynomials on Minkowski spaces under the action of the Lorentz group. VII Oficina de Sistemas Dinâmicos. Brazil. 2015. 

14. Caracterização dos Germes de Curvas Planas Irredutíveis com Torção Maximal. 2013. Seminário de Pós Graduação. Brazil.

15. Characterization of germs of irreducible plane curves with maximal torsion. Encontro Capixaba de Matemática. Brazil. 2012. 

16. Uma Breve Introdução à Geometria Algébrica. I Semana da Matemática - UFAC. Brazil. 2011.