Paulo M. de Carvalho Neto

I am an Associate Professor of Mathematics at the Federal University of Santa Catarina (UFSC) in Florianópolis, Brazil, and a permanent member of its graduate program in Mathematics. From 2016 to 2018, he organized the department’s weekly Mathematics Colloquium, an initiative primarily aimed at graduate students. He currently serves as the department’s Research Coordinator and is also one of the PIBIC scholarship evaluators for his academic center, as well as one of the coordinators of the Differential Equations and Dynamical Systems group.

He earned his undergraduate degree in Mathematics from São Paulo State University (UNESP) in 2007, graduating with the program’s highest academic distinction. He obtained his Master’s degree in 2009 under the supervision of Gabriela Planas and completed his Ph.D. in 2013 under the supervision of Alexandre N. Carvalho, both at the University of São Paulo (USP). Additionally, he earned a Spanish Ph.D. from the University of Seville (US), supervised by Pedro Marín Rubio.

Between 2013 and 2015, he held a postdoctoral position at the University of Campinas (UNICAMP), working with the Partial Differential Equations group under the supervision of Gabriela Planas. He has been a faculty member at UFSC since 2015.

His research is rooted in Analysis and Partial Differential Equations, with a particular focus on fractional calculus in abstract settings. His work encompasses functional analysis, time-fractional differential equations, hyperbolic and parabolic differential equations, nonlinear dynamical systems, fluid dynamics, operator theory in Banach spaces, and the spectral theory of unbounded operators.