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Cristiana De Filippis

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Cristiana De Filippis (born 23 July 1992 in Bari, Italy) is an Italian mathematician who studies how solutions to certain equations behave, known as regularity theory for elliptic and parabolic partial differential equations. She is a full professor of Mathematical Analysis at the University of Parma.

She grew up in Matera and studied mathematics in Italy, earning a laurea from the University of Turin in 2014 and a laurea magistrale from the University of Milano-Bicocca in 2016. She earned her PhD at the University of Oxford in 2020, with a dissertation on vectorial problems: sharp Lipschitz bounds and borderline regularity, supervised by Jan Kristensen.

After a postdoctoral stint at the University of Turin, she joined the University of Parma as an assistant professor in 2021, earned habilitation in 2023, was promoted to associate professor in 2024, and to full professor in 2025.

Her research focuses on regularity theory for elliptic and parabolic PDEs, especially problems from the Calculus of Variations. Together with Giuseppe Mingione, she developed a Schauder-type theory for nonuniformly elliptic equations and functionals, and she has used nonlinear potential theory in elliptic regularity.

She has received several awards: the 2019 G-Research PhD Prize in Oxford, the 2020 Gioacchino Iapichino Prize, the 2023 Bartolozzi Prize, the 2024 EMS Prize, the 2025 ERC Starting Grant, and the 2025 SIAM Early Career Prize in Analysis of PDE. In 2023 she was elected to the European Mathematical Society Young Academy, and Forbes Italy named her among its 2023 list of 100 successful Italian women.


This page was last edited on 3 February 2026, at 18:59 (CET).