Towards a Quantitative Theory of Digraph-Based Complexes and its... In this work, we developed new mathematical methods for analyzing network topology and applied these methods to the analysis of brain networks. More specifically, we rigorously developed...

My PhD thesis is available on arXiv now arxiv.org/abs/2409.09862

Towards a Quantitative Theory of Digraph-Based Complexes and its Applications in... The development of mathematical methods for studying the structure, organization, and functioning of the brain has become increasingly important, especially in the context of brain connectivity networ...

My PhD thesis was published: "Towards a Quantitative Theory of Digraph-Based Complexes and its Applications in Brain Network Analysis" teses.usp.br/teses/dispon...

condensed sets instead of topological spaces? xenaproject.wordpress.com/2020/12/05/l...