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I completed my Ph.D. in Mathematics at PUC-Rio (Rio de Janeiro, Brazil) in August 2020, under the direction of Prof. Edgard Pimentel. Also, I spent the academic year of 2019 (Jan- Dec) visiting Prof. Eduardo Teixeira at UCF, Florida. In addition, I spent the period from October/2020 - July/2021 visiting Prof. Héctor Chang-Lara at CIMAT, México. Also, I held a postdoctoral position at Universidade de São Paulo - USP, São Carlos (Aug/2021 - Fev/2022), under the supervision of Prof. Ederson Moreira dos Santos. In addition, I held a postdoctoral position at Instituto Superior Técnico, Universidade de Lisboa under the supervision of Prof. Hugo Tavares. Currently, I am a postdoctoral fellow at Instituto Superior Técnico, Universidade de Lisboa under the supervision of Prof. James Kennedy. My research concerns the study of Partial Differential Equations (PDEs). More precisely, I am interested in investigating regularity theory, the existence, and the uniqueness of the solutions to elliptic and parabolic equations, optimal partition problems, spectral theory, and calculus of variations. In particular, the subject of my doctoral thesis was fully nonlinear mean-field games, PDEs with arbitrary degeneracy laws.
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Identification

Personal identification

Full name
Pêdra Daricléa Santos Andrade

Citation names

  • Andrade, Pêdra
  • Andrade, Pêdra D. S.

Author identifiers

Ciência ID
2C11-B38E-5747
Google Scholar ID
https://scholar.google.com/citations?user=giY691sAAAAJ&hl=pt-BR

Email addresses

  • pedradsandrade@gmail.com (Professional)
  • pedra.andrade@tecnico.ulisboa.pt (Professional)

Telephones

Mobile phone
  • 912764976 (Personal)

Addresses

  • Avenida Barbosa du Bocage, nº 3, 2º Dto, 1000-070, Lisboa, Lisboa, Portugal (Personal)

Websites

Knowledge fields

  • Exact Sciences - Mathematics - Pure Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Spanish; Castilian Intermediate (B1) Advanced (C1) Intermediate (B1) Advanced (C1) Intermediate (B1)
Education
Degree Classification
2024/02/01 - 2025/05/31
Ongoing
 Mathematics (Pós-doutoramento)
FCiênciasID Associação para a Investigação e Desenvolvimento de Ciências, Portugal

Instituto Superior Técnico, Universidade de Lisboa, Portugal
2021/03/01 - 2023/01/31
Concluded
 Mathematics (Pós-doutoramento)
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal

Instituto Superior Técnico, Universidade de Lisboa, Portugal
2021/08/01 - 2022/02/28
Concluded
 Post-doctoral position (Postgraduate Certificate)
Universidade de São Paulo Instituto de Ciências Matemáticas e de Computação, Brazil
2020/10/01 - 2021/07/30
Concluded
 Visiting Professor (Postgraduate Certificate)
Centro de Investigacion en Matemáticas, Mexico
2016/08 - 2020/08/12
Concluded
 Ph.D. in Mathematics (Postgraduate Certificate)
Pontifícia Universidade Católica do Rio de Janeiro, Brazil
"Towards a regularity theory for fully nonlinear models" (THESIS/DISSERTATION)
2013/03/03 - 2015/08/10
Concluded
 Master Degree (Postgraduate Certificate)
Universidade Federal de Sergipe, Brazil
"Jonquières Parametrizations" (THESIS/DISSERTATION)
2009/03/03 - 2013/02/18
Concluded
 Matemática (Bachelor)
Universidade Federal de Sergipe, Brazil
"Ring Theory: Noetherian and Artinian" (THESIS/DISSERTATION)
Affiliation

Science

Category
Host institution 		Employer
2024/02/01 - Current Postdoc (Research) FCiênciasID Associação para a Investigação e Desenvolvimento de Ciências, Portugal
Instituto Superior Técnico, Universidade de Lisboa, Portugal
2022/03/01 - 2024/01/31 Postdoc (Research) Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
Instituto Superior Técnico, Universidade de Lisboa, Portugal
Outputs

Publications

Journal article
  1. Andrade, P.; Pellegrino, D.; Pimentel, E.; Teixeira, E.. "C1-regularity for degenerate diffusion equations". Advances in Mathematics 409 (2022): 108667. http://dx.doi.org/10.1016/j.aim.2022.108667.
    Published • 10.1016/j.aim.2022.108667
  2. Andrade, Pêdra D. S.; Santos, Makson S.. "Improved regularity for the parabolic normalized p-Laplace equation". Calculus of Variations and Partial Differential Equations 61 5 (2022): http://dx.doi.org/10.1007/s00526-022-02291-8.
    Published • 10.1007/s00526-022-02291-8
  3. Wang, Weichen; Gurgone, Andrea; Martínez, Humberto; Barbieri Góes, Maria Cristina; Gallo, Ettore; Kerényi, Ádam; Turco, Enrico Maria; Coburger, Carla; Andrade, Pêdra D. S.. "COVID-19 Mortality and Economic Losses: The Role of Policies and Structural Conditions". Journal of Risk and Financial Management 15 8 (2022): 354. http://dx.doi.org/10.3390/jrfm15080354.
    Published • 10.3390/jrfm15080354
  4. Andrade, Pêdra D. S.; Rampasso, Giane C.; Santos, Makson S.. "Geometric regularity theory for a time-dependent Isaacs equation". Nonlinear Differential Equations and Applications NoDEA 29 2 (2022): http://dx.doi.org/10.1007/s00030-022-00752-9.
    Published • 10.1007/s00030-022-00752-9
  5. Andrade, Pêdra D. S.; Pimentel, Edgard A.. "Stationary fully nonlinear mean-field games". Journal d'Analyse Mathématique 145 1 (2021): 335-356. http://dx.doi.org/10.1007/s11854-021-0193-0.
    Published • 10.1007/s11854-021-0193-0
Preprint
  1. Andrade, Pêdra D. S.; Santos, Makson; da Siva, João Vitor; Rampasso, Giane C.. "Sharp regularity estimates for a singular inhomogeneous (m, p)-Laplacian equation". 2023. https://arxiv.org/abs/2305.02841.
  2. Andrade, Pêdra D. S.; Tavares, Hugo; Santos, Makson S.; Moreira dos Santos, Edeson. "Spectral partition problems with volume and inclusion constraints". 2023. https://arxiv.org/abs/2305.02870.
  3. Andrade, Pêdra D. S.; Julio C. Corra-Hoyos. "Two-phase free boundary problems for a class of fully nonlinear double-divergence systems". 2023. https://arxiv.org/abs/2305.19236.
  4. Andrade, Pêdra D. S.; Santos, Makson S.; dos Prazeres, Disson. "Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy". 2022. https://arxiv.org/pdf/2302.00423.pdf.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2023/10/30 Spectral partition problems with volume constraint Atlantic Conference in Nonlinear PDEs Dispersive and Elliptic Equations and Systems
Instituto Superior Técnico, Universidade de Lisboa (Lisboa, Portugal)
2023/08/18 Uma breve introdução à teoria de regularidade para equações diferenciais elípticas Ciclo de Palestras do DMAI
Universidade Federal de Sergipe (Itabaiana - SE, Brazil)
2023/08/14 Optimal partition problems for the first eigenvalue of the Laplace operator with volume constraint Seminário de Análise e Equações Diferenciais Parciais
Universidade Federal de Alagoas (Maceió - AL, Brazil)
2023/07/26 Regularity theory for fully nonlinear double-divergence systems with free boundaries 34 Colóquio Brasileiro de Matemática (CBM)
Instituto de Matemática Pura e Aplicada (IMPA) (Rio de Janeiro - RJ, Brazil)
2023 Regularity theory for optimal partition problems with volume constraints 13th Americas Conference on Differential Equations and Nonlinear Analysis and ICMC Summer Meeting on Differential Equations - 2023 Chapter
Universidade de São Paulo (São Carlos - SP, Brazil)
2023 Regularity estimates for fully nonlinear mean-field games with free boundaries 13th Americas Conference on Differential Equations and Nonlinear Analysis and ICMC Summer Meeting on Differential Equations - 2023 Chapter
Universidade de São Paulo (São Carlos - SP, Brazil)
2023 A glimpse into the fully nonlinear mean-field games systems LYMC2023 - Lisbon Young Mathematicians Conference 2023,
Universidade Aberta (Lisboa, Portugal)
2023 A multiphase shape optimization problem with measure constraint CMUC Analysis Seminar
Universidade de Coimbra (Coimbra, Portugal)
2022 Regularity theory for fully nonlinear mean-field games systems. Workshop for Women in Differential Equations - ICM 2018
Universidade Federal do ABC (Santo André- SP)
2022 C1-regularity for degenerate fully nonlinear equations. LYMC2022 - Lisbon Young Mathematicians Conference
Faculdade de Ciências - Universidade de Lisboa (Lisboa, Portugal)
2022 Approximation methods for the parabolic normalized p-Laplacian Celebrating Women in Mathematics
Universidade Federal do Rio de Janeiro (Rio de Janeiro - RJ (Online), Brazil)
2022 Regularity theory for the parabolic normalized p-Laplace equation Portugal-Italy Conference on Nonlinear Differential Equations and Applications (PICNDEA22)
Universidade de Évora (Évora, Portugal)
2022 Regularity of solutions to a class of fully nonlinear degenerate elliptic equations 8th Workshop on Analysis and PDEs
Universidade Federal de Sergipe (Aracaju - SE, Brazil)
2021 Stationary fully nonlinear mean-field games B1 Analysis and PDEs From the South (Online Event)
Universidade Federal do Rio de Janeiro (Rio de Janeiro - RJ (Online), Brazil)
2021 Regularity theory for degenerate elliptic PDEs with arbitrary degeneracy laws Encuentro de Mujeres Matemáticas
Universidad de Pamplona (Pamplona (Online), Colombia)
2021 Improved regularity for nonhomogeneous parabolic normalized p-Laplacian Webinário de Jovens Pesquisadores em EDP e Matemática Aplicada
Universidade Federal Fluminense (Rio de Janeiro - RJ (Online), Brazil)
2021 Regularity estimates for the parabolic normalized p-Laplace equation Seminário de EDPs do Instituto de Matemática, Estatística e Computação Científica (IMECC),
Universidade Estadual de Campinas (Campinas - SP (Online))
2021 Um prelúdio à teoria de regularidade. Jornadas de Matemática PUC-Rio -UFJF,
Universidade Federal de Juiz de Fora (Juiz de Fora- MG (Online), Brazil)
2020 Regularity theory for fully nonlinear mean-field games systems Workshop on Partial Differential Equations and Complex Analysis - ICM 2018, Satel- lite Event
Universidade Federal de São Carlos (São Carlos - SP, Brazil)
2020 Regularity theory for PDEs with arbitrary degeneracy laws through approximation methods Rio Summer School on PDEs
Universidade Federal do Rio de Janeiro (Rio de Janeiro, Brazil)
2020 Fully nonlinear mean-field games IX Escola de Verão em Matemática - UFS
Universidade Federal de Sergipe (Aracaju - SE, Brazil)
2020 Fully nonlinear mean-field games ICMC Summer Meeting on Dif- ferential Equations 2020 Chapter
Universidade de São Paulo (São Carlos - SP, Brazil)
2020 Regularity theory for degenerate diffusion equations Webinário de Jovens Pesquisadores em Matemática Pura, Aplicada e Estatística - WebJME (Online Event)
Universidade Federal da Paraíba (João Pessoa - PB (online), Brazil)

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2023/10/30 - 2023/11/03 Local Organizer of the Atlantic Conference in Nonlinear PDEs Dispersive and Elliptic Equations and Systems (2023/10/30 - 2023/11/03)
Conference (Member of the Organising Committee)
 Instituto Superior Técnico, Universidade de Lisboa, Portugal
2022 - 2022 Fortaleza Conference on Analysis and PDEs (2022)
Conference (Member of the Organising Committee)
 Universidade Federal do Ceará, Brazil
2022 - 2022 XI Escola de Verão em Matemática da UFS (2022)
Other (Member of the Organising Committee)
 Universidade Federal de Sergipe, Brazil
2022 - 2022 8th Workshop on Analysis and PDEs (2022)
Workshop (Member of the Organising Committee)
 Universidade Federal de Sergipe, Brazil
2021 - 2021 Celebrating Women in Mathematics (2021 - 2021)
Conference (Co-organisor)
 Universidade Federal do Rio de Janeiro, Brazil

Event participation

Activity description
Type of event 		Event name
Institution / Organization
2023 - Current Lisbon Young Mathematicians Conference (LYMC2023)
Conference
 Lisbon Young Mathematicians Conference (LYMC2023)
Universidade Aberta, Portugal
2024/01/22 - 2024/01/26 New Trends in Nonlinear PDE's, Physics and Geometry
Conference
 New Trends in Nonlinear PDE's, Physics and Geometry
Universidad de Granada, Spain
2023/09/11 - 2023/09/15 Analysis and beyond: a conference in honour of Luigi Ambrosio¿s 60th birthday
Conference
 Analysis and beyond: a conference in honour of Luigi Ambrosio’s 60th birthday
Eidgenossische Technische Hochschule Zurich Departement Mathematik, Switzerland
2023/06/19 - 2023/06/30 International Doctoral Summer School in Conformal Geometry and Non-local Operators
Conference
 International Doctoral Summer School in Conformal Geometry and Non-local Operators
Universidad de Granada, Spain
2022 - 2022 ICMC Summer Meeting on Differential Equations 2022 Chapter (Online Event)
Meeting
 ICMC Summer Meeting on Differential Equations 2022 Chapter (Online Event)
Universidade de São Paulo Câmpus de São Carlos, Brazil
2022 - 2022 XIV Workshop de Verão em Matemática - MAT/UnB (Online Event)
Workshop
 XIV Workshop de Verão em Matemática - MAT/UnB
Universidade de Brasília, Brazil
2022 - 2022 Lisbon Young Mathematicians Conference (LYMC2022)
Conference
 Lisbon Young Mathematicians Conference (LYMC2022)
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
2022 - 2022 Shape Optimization, related topics and applications
Workshop
 Shape Optimization, related topics and applications
2022 - 2022 Portugal-Italy Conference on Nonlinear Differential Equations and Applications (PICNDEA22) Portugal-Italy Conference on Nonlinear Differential Equations and Applications (PICNDEA22)
Universidade de Évora, Portugal
2022 - 2022 Three Nonlinear Days in Coimbra
Conference
 Three Nonlinear Days in Coimbra
Universidade de Coimbra, Portugal
2022 - 2022 Hausdorff Schools 2022 - Geometric Analysis and Nonlinear Partial Differential Equations
Other
 Hausdorff Schools 2022 - Geometric Analysis and Nonlinear Partial Differential Equations
Rheinische Friedrich-Wilhelms-Universität Bonn Hausdorff Center for Mathematics, Germany
2022 - 2022 Nonuniformly elliptic problems
Conference
 Nonuniformly elliptic problems,
Mathematical Institute of the Polish Academy of Sciences, Poland
2021 - 2021 B1 Analysis and PDEs From the South (Online Event)
Conference
 B1 Analysis and PDEs From the South (Online Event)
Universidade Federal do Rio de Janeiro, Brazil
2021 - 2021 ICMC Summer Meeting on Differential Equations 2021 Chapter (Online Event)
Meeting
 ICMC Summer Meeting on Differential Equations 2021 Chapter
Universidade de São Paulo Câmpus de São Carlos, Brazil
2021 - 2021 XIII Workshop de Verão em Matemática - MAT/UnB (Online Event)
Workshop
 XIII Workshop de Verão em Matemática - MAT/UnB
Universidade de Brasília, Brazil
2021 - 2021 I Workshop de Pesquisadores Jovens em Análise e EDP (Online Event)
Workshop
 I Workshop de Pesquisadores Jovens em Análise e EDP
Universidade Federal Fluminense, Brazil
2021 - 2021 II Seminário Mulheres na Ciência da UnB (Online conference)
Seminar
 II Seminário Mulheres na Ciência da UnB
Universidade de Brasília, Brazil
2021 - 2021 Extended Problem Solving Workshop
Workshop
 Extended Problem Solving Workshop
Fields Institute for Research in Mathematical Sciences, Canada
2021 - 2021 Introduction to Mean Field Games and Applications (online event)
Congress
 Introduction to Mean Field Games and Applications
Institute for Mathematical and Statistical Innovation, United States
2021 - 2021 Mathematical Congress of the Americas (Online Event)
Congress
 Mathematical Congress of the Americas
Universidad de Buenos Aires, Argentina
2021 - 2021 III Workshop on Partial Differential Equations and Dynamical Systems (Online Event)
Workshop
 III Workshop on Partial Differential Equations and Dynamical Systems
Universidade Federal de Pernambuco, Brazil
2021 - 2021 Webinário de Jovens Pesquisadores em EDP e Matemática Aplicada (Online Event)
Seminar
 Webinário de Jovens Pesquisadores em EDP e Matemática Aplicada
Universidade Federal Fluminense, Brazil
2021 - 2021 33 Colóquio Brasileiro de Matemática - IMPA (Online Event),
Conference
 33 Colóquio Brasileiro de Matemática
Instituto Nacional de Matemática Pura e Aplicada, Brazil
2021 - 2021 9th WENLU - Workshop on Nonlinear Partial Differential Equations, Functional and Geometric Analysis (Online Event)
Workshop
 9th WENLU - Workshop on Nonlinear Partial Differential Equations, Functional and Geometric Analysis
Universidade Federal da Paraíba, Brazil
2018 - 2018 Satellite Conference - ICM 2018
Conference
 The Mathematics of Games in the Applied Sciences
Universidade Federal Fluminense, Brazil
2018 - 2018 Summer School and scientific visiting to ICTP
Conference
 International School on Extrinsic Curvature Flows — smr 3209.
Abdus Salam International Centre for Theoretical Physics, Italy
2018 - 2018 International Congress of Mathematicians
Congress
 International Congress of Mathematicians
International Mathematical Union, Germany
2018 - 2018 ICMC Summer Meeting on Differential Equations 2018 Chapter
Meeting
 ICMC Summer Meeting on Differential Equations 2018 Chapter
Universidade de São Paulo Câmpus de São Carlos, Brazil
2018 - 2018 ICM 2018 - Satellite Event
Meeting
 (WM)2 World Meeting for Women in Mathematics
International Mathematical Union, Germany

Mentoring / Tutoring

Topic Student name
2021 - 2021 Hilbert's Nullstellensatz Theorem Antônio Catão
Distinctions

Other distinction

2023 10th Heidelberg Laureate Forum (HLF), September 24 to 29, 2023
2022 Chebyshev grant for the participation in the International Congress of Mathematicians 2022 - ICM 2022 (not used).
2021 Grant for the participation in the Extended Problem Solving Workshop
Fields Institute for Research in Mathematical Sciences, Canada
2021 Postdoctoral Fellowship Instituto Nacional de Ciência e Tecnologia de Matemática - INCTMat
Instituto Nacional de Ciência e Tecnologia de Matemática, Brazil
2019 Doctoral Internship Fellowship Carlos Chagas Filho Research Support Foundation - FAPERJ
2018 Travel Grant for the participation in the International School on Extrinsic Curvature Flows
Abdus Salam International Centre for Theoretical Physics, Italy