Paolo Baroni

Paolo Baroni serves as Associate Professor at the University of Parma's Department of Mathematical, Physical and Computer Sciences, holding this position since December 2019. His academic career includes research fellowships at the University of Parma (2016-2019) and postdoctoral appointments at the University of Naples Federico II, Aalto University, and Uppsala University.

Baroni completed his Bachelor's and Master's degrees in Mathematics at the University of Parma before earning his Ph.D. from the Scuola Normale Superiore (2010-2012). His academic profile includes a first-level piano diploma from Istituto Musicale A. Peri, demonstrating interests beyond mathematics.

His research specializes in mathematical analysis with emphasis on partial differential equations and regularity theory. Baroni's scholarly work investigates gradient continuity for non-autonomous functionals, p(x)-Laplacian systems, degenerate phase transitions, and measure data problems. His research bridges theoretical foundations with applications in mathematical physics, particularly in understanding the regularity properties of solutions to complex PDE systems.

Analysis of Baroni's publication record reveals consistent scholarly contributions from 2011 through 2025. Recent work (2022-2025) focuses on gradient continuity for minimizers of non-autonomous functionals and p(x)-Laplacian systems under minimal exponent conditions. Earlier publications (2013-2022) demonstrate progression from foundational work on Lorentz estimates and obstacle problems to advanced investigations of non-standard growth operators and double phase functionals. His research shows particular expertise in connecting analytical techniques with geometric interpretations of PDE solutions.

Baroni teaches multiple courses including Calculus 1 (for Mathematics), Mathematical Analysis 1 (for Mechanical Engineering), and Fundamentals of Calculus and Geometry (for Architecture programs). He also supervises student projects, as evidenced by exam proposals from students Pietro Galimberti, Alessandra Migliaccio, and Giulio Pecorella. Additionally, he participates in academic community building through events like the July 2024 regularity theory school in Cosenza.