Current Occupation
I am currently assitant professor at the Institue of Mathematics and Statistics of USP (University of São Paulo) and I participate to the NeuroMat Project. The aim of the project is to developp a new approach to neuroscience — neuromathematics — conjoining probability theory, combinatorics, statistics, computer science and neuroscience itself, in order to construct a theory of the brain accounting for the experimental data gathered by neuroscientific research during the last decades, and more importantly accounting for the recently arising scientific evidences that biological neural networks behave in an inherently stochastic manner. My own work focus on obtaining results of metastability for stochastic models in the lineage of the Galves-Löcherbach model, using tools and ideas borrowed from statistical physics.

Professional address: NUMEC, Av. Prof. Luciano Gualberto, 1046-1242 - Butantã, São Paulo - SP, 05508-010
Email: [first name].[last name] at usp.br
ORCID: https://orcid.org/0000-0002-2559-0399
Google scholar: https://scholar.google.com/citations?user=zf6lUwYAAAAJ&hl=fr
PhD
Research topics
- Markov processes
- Interacting particles systems
- Point processes
- Phase transition
- Metastability
- Quasi-stationnarity
- Percolation theory
Publications
-
A Result of Metastability for an Infinite System of Spiking Neurons [pdf]
-
The Effect of Graph Connectivity on Metastability in a Stochastic System of Spiking Neurons [pdf]
-
Convergence of the Temporal Averages of a Metastable System of Spiking Neurons [pdf]
-
A Numerical Study of the Time of Extinction in a Class of Systems of Spiking Neurons [pdf]
-
A Quasi-Stationary Approach to Metastability in a System of Spiking Neurons with Synaptic Plasticity [pdf]
Teaching
- 2017-2018: Introduction to Statistical Learning (teaching assistant).
- 2023-2024: Statistics for non-mathematicians. (MAE0116)
- 2024 (1st semester): Introduction to Stochastic Processes. (MAE0312)
- 2024 (2nd semester): Statistics II. (MAE1512 and MAE1513)
Talks and events
- June 2024: Congress: Kinetic equation, Mathematical Physics and Probablilty (BCAM, Bilbao). Quasi-stationnary distributions in a stochastic system of spiking neurons.
- January 2024: Séminaire de l'IRMA (Université de Strasbourg). Metastability and Quasi-stationnary distributions.
- March 2023: Symposium Random processes in the brain: From experimental data to Math and back at Institut Henri Poincaré, in Paris. Poster here
- February 2023: Séminaire de probabilités et statistiques de l'université de Nice. Stabilization of temporal means.
- February 2022: Workshop on Mathematical Modeling and Statistical Analysis in Neuroscience at Institut Henri Poincaré, in Paris. Shorther talk on the result about the temporal means. Slides here
- December 2021: Probability seminars of the Mathematical Insitute of the federal university of Rio de Janeiro. Talk about a result of stabilization of the temporal means during the metastable phase in the model on the lattice.
- April 2021: International Conference on Mathematical Neuroscience - Digital. Metastablity and its possible link to working memory again. Slides here and recording here
- April 2021: Neuromat webinar. Together with Christophe Pouzat, a talk about metastability in a model with synaptic facilitation, and its possible link to working memory. Slides here
- April 2020: Neuromat online seminars. Together with Léo Planche, an untechnical talk about a result of metastability for a model with complete interaction. Slides here
- November 2019: Neuromat young researchers workshop. A short synthesis of the two previous talks. Slides here and recording of the workshop here
- November 2019: Terceiro encontro da pós-graduação em estatistica do IME-USP (third encounter of the graduate school of the institute of mathematics and statistics of USP). Talk on a result of metastability in the same model in the sub-critical phase. Slides here
- October 2019: Probability and stochastic processes seminars at IME-USP. Talk about the highly non-metastable behavior of a stochastic model of spiking neurons on the lattice (introduced here) in the super-critical phase. Slides here and abstract here
- July 2018: CIMPA School: Geometry and scaling of random Structures, in Buenos Aires. Poster here
Reviewing activity
Reviewer for the American Mathematical Society (AMS) Mathscinet online database.
Some Quote
A. Grothendieck "Récoltes et Semailles".