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Cristiana De Filippis

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Cristiana De Filippis
Born (1992-07-23) 23 July 1992 (age 32)
Nationality Italy
Alma materUniversity of Oxford
Known for
AwardsIapichino Prize (2020)
Bartolozzi Prize (2023)
EMS Prize (2024)
Scientific career
Fields
InstitutionsUniversity of Parma, University of Turin
Doctoral advisorJan Kristensen

Cristiana De Filippis (born 1992) is an Italian mathematician whose research concerns regularity theory for elliptic partial differential equations and parabolic partial differential equations.[1] She is an associate professor at the University of Parma.

Education and career

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De Filippis was born in Bari in 1992[2][3] and grew up in Matera.[4][5] 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.[2] 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.[2][6]

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.[2]

Scientific activity

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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.[1][7][8] She made extensive use of nonlinear potential theoretic methods in the context of elliptic regularity.[7][9][10]

Recognition

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De Filippis was awarded a G-Research Ph.D. Prize in Oxford in 2019.[11] She was the 2020 recipient of the Gioacchino Iapichino prize in Mathematical Analysis of the Accademia dei Lincei[12] and one of two 2023 recipients of the Bartolozzi Prize[13]. 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".[3][14][15]

In 2023, De Filippis was elected to the inaugural cohort of the European Mathematical Society Young Academy[16][4] and the Italian edition of Forbes included her in the 2023 list of 100 successful Italian women.[17]

References

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  1. ^ a b Magistroni, Mara (16 July 2024), "Che cos'è la Teoria della regolarità ellittica", Wired (in Italian), retrieved 2024-08-06
  2. ^ a b c d De Filippis, Cristiana, CV, retrieved 2024-08-06
  3. ^ a b Mulas, Raffaella (25 July 2024), Interview: special edition with EMS Prize winner Cristiana De Filippis, Vrije Universiteit Amsterdam, retrieved 2024-08-06
  4. ^ a b Riva, Orsola (8 March 2023), "8 marzo, l'italiana Cristiana De Filippis "eletta" fra i migliori 30 giovani matematici europei", Corriere della Sera (in Italian), retrieved 2024-08-06
  5. ^ Riva, Orsola (15 July 2024), "Cristiana De Filippis vince a 31 anni l'Ems Prize, il più prestigioso premio per la matematica europeo", Corriere della Sera (in Italian), retrieved 2024-08-06
  6. ^ Cristiana De Filippis at the Mathematics Genealogy Project
  7. ^ a b De Filippis, Cristiana; Mingione, Giuseppe (2023), "Nonuniformly Elliptic Schauder Theory", Inventiones Mathematicae, 234 (3): 1109–1196, arXiv:2201.07369, Bibcode:2023InMat.234.1109D, doi:10.1007/s00222-023-01216-2
  8. ^ De Filippis, Cristiana; Mingione, Giuseppe (2023), "Regularity for Double Phase Problems at Nearly Linear Growth", Archive for Rational Mechanics and Analysis, 247 (85), arXiv:2308.10222, Bibcode:2023ArRMA.247...85D, doi:10.1007/s00205-023-01907-3
  9. ^ De Filippis, Cristiana (2023), "Quasiconvexity and partial regularity via nonlinear potentials", Journal de Mathématiques Pures et Appliquées, 163 (3): 11–82, arXiv:2105.00503, doi:10.1016/j.matpur.2022.05.001
  10. ^ De Filippis, Cristiana; Piccinini, Mirco (2023), "Borderline global regularity for nonuniformly elliptic systems", International Mathematics Research Notices, 2023 (20): 17324–17376, arXiv:2206.15330, doi:10.1093/imrn/rnac283
  11. ^ DPhil student, Cristiana De Filippis, recently awarded £5,000 as a part of the G Research Oxford DPhil Prize, Pembroke College, Oxford, 6 June 2019, retrieved 2024-08-06
  12. ^ Cristiana De Filippis awarded Gioacchino Iapichino prize by the Italian National Academy, University of Oxford Mathematical Institute, 17 July 2020, retrieved 2024-08-06
  13. ^ "Cristiana De Filippis, ricercatrice dell'università di Parma, vince il prestigioso premio Bartolozzi dell'Unione matematica italiana", La Repubblica (in Italian), 10 May 2024, retrieved 2024-08-06
  14. ^ Schlitzer, Enrico (15 July 2024), Fourteen prizes awarded to European mathematicians at the 9th ECM, European Mathematical Society, retrieved 2024-08-06
  15. ^ Serra, Matteo (15 July 2024), "A Cristiana De Filippis il più importante premio matematico europeo", Le Scienze (in Italian), retrieved 2024-08-06
  16. ^ EMYA elected members 2023, European Mathematical Society, retrieved 2024-08-06.
  17. ^ "Chi sono le 100 donne di successo per il 2023 secondo Forbes Italia", Forbes Italia (in Italian), 18 July 2023, retrieved 2024-08-06
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