| Cristiana De Filippis | |
| Birth Date: | 23 July 1992 |
| Birth Place: | Bari, Italy |
| Nationality: |  Italy |
| Known For: | |
| Fields: | |
| Workplaces: | University of Parma, University of Turin |
| Alma Mater: | University of Oxford |
| Doctoral Advisor: | Jan Kristensen |
| Awards: | Iapichino Prize (2020) Bartolozzi Prize (2023) EMS Prize (2024) |
Cristiana De Filippis (born 1992) is an Italian mathematician whose research concerns regularity theory for elliptic partial differential equations and parabolic partial differential equations. She is an associate professor at the University of Parma.
De Filippis was born in Bari in 1992 and grew up in Matera. She earned a laurea in mathematics in 2014, at the University of Turin, and a laurea magistrale in 2016, at the University of Milano-Bicocca, the Italian equivalents of a bachelor's and master's degree, mentored by Susanna Terracini and Veronica Felli respectively. She completed her doctorate (DPhil) at the University of Oxford in England in 2020, with the dissertation Vectorial problems: sharp Lipschitz bounds and borderline regularity supervised by Jan Kristensen.
After postdoctoral research at the University of Turin, she became an assistant professor at the University of Parma in 2021, earned a habilitation in 2023, and was promoted to associate professor in 2024.
De Filippis' research is mainly devoted to problems from regularity theory in elliptic and parabolic partial differential equations, with special emphasis on those coming from the Calculus of Variations. Together with Giuseppe Mingione, she proved a Schauder type theory for nonuniformly elliptic equations and functionals. She made extensive use of nonlinear potential theoretic methods in the context of elliptic regularity.
De Filippis was awarded a G-Research Ph.D. Prize in Oxford in 2019. She was the 2020 recipient of the Gioacchino Iapichino prize in Mathematical Analysis of the Accademia dei Lincei and one of two 2023 recipients of the Bartolozzi Prize. In 2024 she was awarded an EMS Prize, given for "outstanding contributions to elliptic regularity, in particular Schauder estimates for nonuniformly elliptic equations and non-differentiable variational integrals, and minima of quasiconvex integrals".
In 2023, De Filippis was elected to the inaugural cohort of the European Mathematical Society Young Academy and the Italian edition of Forbes included her in the 2023 list of 100 successful Italian women.