This book collects the groundbreaking research presented at the plenary lectures of the First Brazil-Portugal Joint Meeting in Mathematics, held in Salvador, Brazil, from August 14 to 20, 2022. This historic event marked the bicentennial of Brazil's independence and celebrated the strengthening of scientific cooperation between the two nations. 

With contributions from international experts, these proceedings provide a comprehensive overview of the latest advances in various areas of mathematics. It contains a stimulating mix of research articles and exclusive surveys of the state of the art in current topics. It collects 7 articles on various topics, including transmission problems and PDEs, linear and nonlinear fractional PDEs of interacting particle systems, complexity in continuous optimization, Poisson manifolds, real and complex singularities, Reeb flows, and statistical extreme value theory. It serves as a testament to the growing partnership between the Brazilian and Portuguese mathematical communities.

This volume will serve as a source of inspiration for a broad range of researchers and research students, especially professional mathematicians with ties to Brazil and/or Portugal.