:: Applied Topology and Geometry ::
:: Neuroscience ::
:: Complex Systems ::

TEACHING

Graduate courses at UFPE, Recife, Brazil
• Applied Topology and Geometry Seminar
• Numerical Methods for Ordinary Differential Equations
• Classical Mechanics
• Ordinary Differential Equations
• Statistical Mechanics Seminar

Undergraduate courses at UFPE, Recife, Brazil
• Numerical Methods
• Applied Network Theory
• Introduction to Differential Geometry
• Dynamical Systems
• Real Analysis
• Linear Algebra
• Vector Calculus
• Multivariate Calculus
• Introduction to Combinatorics and Graph Theory

Additional teaching activities
• Setting up a tailor-made ‘Data Science for Neuroscience’ self-learning program for PhD students and staff at the Department of Anatomy and Neurosciences, Amsterdam, The Netherlands
• Training undergraduate mathematics students in Data Science with Python, Recife, Brazil
• Marking of the Brazilian Mathematics Olympics, Recife, Brazil
• Teaching advanced physics for gifted high-school students at the GGE (Grupo Gênensis de Ensino), in a training program for the Physics Olympics, Recife, Brazil
• Responsible for the computational training program in MAPLE and MATHEMATICA for students in natural sciences and engineering at UFPE, Recife, Brazil

SUPERVISION

Postdoc
2018 Rodrigo Azevedo Moreira
Universidade Federal de Pernambuco

2018 Márcio de Moura Cunha
Universidade Federal de Pernambuco

PhD
Since 2020 Lucas Breedt
PhD candidate in Neuroscience, Amsterdam UMC: “The Multimodal Brain: Exploring the Cognitive Correlates of Connectomes Across Modalities” (co- supervisor with Linda Douw).

Since 2017 André Luiz
MSc in Mathematics (2019), Universidade Federal de Pernambuco: “Assinaturas topológicas de sincronização”.

2015-2021 Danillo Barros de Souza
MSc in Mathematics, Universidade Federal de Pernambuco: “Analytical Solution to Stochastic Epidemic Models”

2016-2020 Cleiton Ricardo
PhD in Mathematics, Universidade Federal de Pernambuco: “Teoremas de Poincaré-Hopf, Gauss-Bonnet e Dehn-Sommerville em complexos simpliciais energizados”

2015-2019 Marcelo Pirôpo da Silva
PhD in Mathematics, Universidade Federal de Pernambuco: “Surfando em Superfícies, modelagem matemática em espaços curvos”

2015-2019 Edgar Amorim
PhD in Mathematics, Universidade Federal de Pernambuco: “Topological transitions on protein-protein interaction networks”

2013-2019 Rúbia Esterfânia de Araújo Ramos
MSc in Mathematics, Universidade Federal de Pernambuco: “Geometric Approach to Hamiltonian Dynamics”
PhD in Mathematics, Universidade Federal de Pernambuco: “Geometria e Dinâmica em Sistemas Hamiltonianos Clássicos e Quânticos”

2012-2017 Luiz Carlos Barbosa da Silva
MSc in Mathematics, Universidade Federal de Pernambuco: “Topological Aspects of Phase Transitions”
PhD in Mathematics, Universidade Federal de Pernambuco: “Differential Geometry and Quantum Mechanics of a Constrained Particle”.

MSc

Since 2022 Kirsten Arntz
MSc. in Neuroscience at VUmc-Amsterdam: “Statistical analysis of multilayer functional brain networks”

Since 2022 Floris Tijhuis
Research Assistant at Institute of Advanced Studies (IAS), Amsterdam. Now Floris is a Research Assistant at IAS under my supervision works on the Human Connectome Aging and Development Large Scale Database

Since 2021 Minne Schepers
MSc. In Neuroscience at VUmc-Amsterdam “Investigating Cognition using Topological Data Analysis”. Now Minne is a Research Assistant at IAS under my supervision works on the Human Connectome Aging and Development Large Scale Database

2019-2020 Giulia Moreni
MSc in Biophysics at La Sapienza University (Rome): “MEG Brain-networks in Glioma using topological data analysis” (co-supervised in Amsterdam under the Erasmus program)

2019-2020 Eduarda Centeno
MSc in Neuroscience, Amsterdam UMC (Neurasmus): “Investigating alterations in glioma patients' resting-state fMRI brain networks using Topological Data Analysis” (co-supervisor Linda Douw)

2015-2016 Marlon Leandro
MSc in Mathematics, Universidade Federal de Pernambuco: “Fock Space Approach to Chemical Reactions”

2016-2017 Luiz Filipe Guerra
MSc in Mathematics, Universidade Federal de Pernambuco: “Cosmological Networks and Topological Data Analysis”

2010-2012 Jorge Armando Rehn Cassiera
MSc in Physics, Universidade Federal de Pernambuco: “Combinatorial and Topological Approach to the Ising chain”