Teaching
Courses, lecture notes, minicourses, and student supervision at USP, UFC, University of Maryland, and IMPA.
Lecture notes
Undergraduate · UFC
Introduction to Dynamical Systems
Material used in courses taught at Universidade Federal do Ceará. Covers fundamentals of orbits, stability, and asymptotic behavior.
Minicourse · IMPA
Lectures on Ratner Theory
Notes produced for the minicourse held at IMPA during the thematic semester Dynamics Beyond Uniform Hyperbolicity.
Thematic School
Non-Uniformly Hyperbolic Dynamics
Introduction to Markov partitions for non-uniformly hyperbolic systems, aimed at graduate students.
Advanced Research
Ergodic Theory and Symbolic Dynamics
Research notes covering the construction of symbolic extensions and their consequences for the ergodic theory of geodesic flows.
Courses
Graduate
- Universidade Federal do Ceará — 16 graduate classes (2017–2025)
- IMPA — Infinite Ergodic Theory (Instructor, Spring 2011)
Undergraduate
- Universidade Federal do Ceará — 19 undergraduate classes (2017–2025)
- University of Maryland — Introduction to Probability Theory (Spring 2015, Fall 2013)
- University of Maryland — Applications of Linear Algebra (Spring 2014)
Teaching assistantships
- IMPA — Differentiable Ergodic Theory (TA, Fall 2010)
- IMPA — Ordinary Differential Equations (TA, Spring 2009)
- IMPA — Linear Algebra (TA, Winter 2009)
- IMPA — Discrete Mathematics (TA, Fall 2008)
Supervision
Ph.D.
- João Paulo NascimentoUFC, BrazilNov 2020 – Jul 2025Symbolic dynamics for non-uniformly hyperbolic flows in high dimension
Masters
- João Guilherme Costa VianaUSP, BrazilFeb 2026 – now
- Jônatas Marinho Santos JuniorUFC, BrazilAug 2022 – Jan 2025Teoria de Ramsey Ergódica e a Conjectura B + B + t
- Breno Cavalcante de SousaUFC, BrazilMar 2022 – Jun 2024Álgebra de Pinsker e a Propriedade K
- Alisson da Conceição PereiraUFC, BrazilMar 2022 – Jun 2024Unicidade de estados de equilíbrio
- Matheus Barros da SilveiraUFC, BrazilMar 2022 – Jun 2023Urnas de Pólya em hipergrafos
- Ernandes Ferreira do Nascimento NetoUFC, BrazilJun 2021 – Jun 2023Desigualdade de Ruelle
- João Paulo NascimentoUFC, BrazilJul 2019 – Oct 2020Partições de Markov para automorfismos lineares hiperbólicos do toro
Postdocs
- Juan Carlos Mongez DuranUFC, BrazilMay 2024 – now
- Kambiz MoghaddamfarUFC, BrazilSep 2024 – Aug 2025
- Luis Pedro Pineyrúa RamosUFC, BrazilSep 2022 – Jan 2024
- Marco Antonio Lopez RuelasUFC, BrazilOct 2021 – Dec 2022
- Ermerson Rocha AraujoUFC, BrazilAug 2018 – Jul 2021
Undergraduate research
- Theo LottUSP, BrazilAug 2025 – now
- Arthur KarsburgUSP, BrazilAug 2025 – Feb 2026
- João Guilherme Costa VianaUFC, BrazilAug 2023 – Feb 2025
- Matheus Barros da SilveiraUFC, BrazilAug 2019 – Feb 2022
- Kennedy Correa da Silva JuniorUFC, BrazilAug 2019 – Aug 2021
- Gustavo Penaforte BritoUFC, BrazilAug 2018 – Jul 2019
- Davi Araujo Chaves SouzaUFC, BrazilAug 2018 – Jul 2019