Carlos Matheus completed his Ph.D. at the Instituto Nacional de Matemática Pura e Aplicada in 2004, achieving this credential at age 19. Born in Aracaju in 1984, the Brazilian mathematician focuses his research on dynamical systems, analysis, and geometry. He currently serves as a research director at the CNRS in Paris, contributing to global academic advancement in these quantitative fields.
Academic Foundation
The Instituto Nacional de Matemática Pura e Aplicada provided the framework for his early doctoral research. Under the supervision of Marcelo Viana, Matheus finished his requirements in 2004. This accelerated graduation placed him among the youngest researchers to attain such a designation at the institution. His work has since expanded to address complex problems within the moduli spaces of translation surfaces.
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His primary contributions concern dynamical systems. Within this field, he investigates the regularity of SL(2,R)-invariant probability measures and the Lyapunov spectrum of square-tiled surfaces. His collaborative projects, such as those appearing in the Journal of Modern Dynamics and Inventiones mathematicae, analyze the intersection of geometry and ergodic theory. He also explores conservative systems, specifically focusing on pasting lemmas and their subsequent applications.
Selected Bibliography
Matheus has authored and co-authored several books to codify research findings. In 2007, he released 'Aspectos Ergódicos da Teoria dos Números' in Portuguese, followed by 'The remarkable effectiveness of ergodic theory in number theory' in 2009. His later monographs include 'Dynamical Aspects of Teichmüller Theory' in 2018 and the 2020 text 'Classical and Dynamical Lagrange and Markov spectra', written alongside D. Lima, C. G. Moreira, and S. Romaña.
Fast facts
- Born: 1984, Aracaju, Brazil
- Field: Dynamical systems
- Ph.D.: Instituto Nacional de Matemática Pura e Aplicada, 2004
- Current Position: Research director at CNRS, Paris
- Doctoral Advisor: Marcelo Viana
- Languages: Portuguese
Questions readers ask
Where did Carlos Matheus complete his doctoral degree?
He earned his Ph.D. from the Instituto Nacional de Matemática Pura e Aplicada in 2004.
What is the primary area of expertise for Carlos Matheus?
He is an applied mathematician specializing in dynamical systems, geometry, and analysis.
Achievements
- Fields: dynamical system
