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Edgard Pimentel completed his PhD in Mathematics at the Instituto Superior Técnico of the Universidade de Lisboa (2013) under the direction of Diogo Gomes. After the completion of his doctoral work, he held post-doctoral positions at CAMGSD-IST-UL (Lisbon), IMPA (Rio de Janeiro) and UFC (Fortaleza). In November 2016, Prof. Pimentel obtained his Habilitation at USP (ICMC). Edgard is a Junior Associate Fellow of the International Centre for Theoretical Physics (ICTP-Trieste) and a former Grantee of the Instituto Serrapilheira (2019-2021). Since 2020, he has been an Affiliated Member of the Brazilian Academy of Sciences. In 2024, Prof. Pimentel was selected as a London Mathematical Society Distinguished Visiting Fellow. Prof. Pimentel likes to think about Partial Differential Equations, emphasising the intersection of regularity theory, free boundary problems and geometric analysis. His research agenda is closely connected with the international community and includes scientific visits to very selective research institutes, such as CIMAT (Guanajuato), Hausdorff Research Institute for Mathematics (Bonn), ICTP (Trieste), Imperial College London, Institute of Mathematics of the Polish Academy of Sciences, Max Planck Institute for Mathematics in the Sciences (Leipzig), Oxford University, Royal Institute of Technology (Stockholm), and Technion (Israel). His former students occupy prominent positions in academia, both in Portugal and abroad. His results have appeared in leading generalist journals, such as Advances in Mathematics, Journal des Mathématiques Pures et Appliquées, Annali della Scuola Normale Superiore di Pisa, and Indiana University Mathematics Journal, as well as in the specialised outlets, Annals of PDE, Analysis and PDE, Communications in Partial Differential Equations, and Journal of Functional Analysis. A researcher at the Centre for Mathematics at the University of Coimbra since 2021, Edgard became an assistant professor in the Department of Mathematics at the same University in 2023.
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Identification

Personal identification

Full name
Edgard Almeida Pimentel

Citation names

  • Pimentel, Edgard
  • Pimentel, Edgard A.

Author identifiers

Ciência ID
1015-6C18-3028
ORCID iD
0000-0002-6420-0410

Email addresses

  • edgard.pimentel@mat.uc.pt (Professional)

Addresses

  • Departamento de Matemática da FCTUC, 3001-501, Coimbra, Coimbra, Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
English Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2)
Portuguese (Mother tongue)
Hebrew Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Education
Degree Classification
2024/05/10
Concluded
 Matemática (Título de Agregado)
Universidade de Coimbra, Portugal
2010 - 2013
Concluded
 Mathematics (Doutoramento)
Major in Analisys and Partial Differential Equations
Universidade de Lisboa Instituto Superior Técnico, Portugal
"Time dependent mean-field games" (THESIS/DISSERTATION)
 Pass with merit
Affiliation

Science

Category
Host institution 		Employer
2021 - 2023 Postdoc (Research) Universidade de Coimbra Centro de Matemática, Portugal
Universidade de Coimbra Centro de Matemática, Portugal
2015 - 2015 Postdoc (Research) Universidade Federal do Ceará, Brazil
2014 - 2014 Postdoc (Research) Instituto Nacional de Matemática Pura e Aplicada, Brazil
Instituto Nacional de Matemática Pura e Aplicada, Brazil
2014 - 2014 Postdoc (Research) Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal

Teaching in Higher Education

Category
Host institution 		Employer
2024/12/10 - Current Associate Professor (University Teacher) Universidade de Coimbra, Portugal
Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
2023 - 2024/12/09 Assistant Professor (University Teacher) Universidade de Coimbra, Portugal
2017 - 2021 Assistant Professor (University Teacher) Pontifícia Universidade Católica do Rio de Janeiro, Brazil
Pontifícia Universidade Católica do Rio de Janeiro, Brazil
2015 - 2016 Assistant Professor (University Teacher) Universidade Federal de São Carlos, Brazil
Universidade Federal de São Carlos, Brazil
Projects

Contract

Designation Funders
2019 - 2021 Regularity theory for partial differential equations
1811-25904
Principal investigator
Pontifícia Universidade Católica do Rio de Janeiro, Brazil
 Instituto Serrapilheira
Concluded
2019 - 2021 Geometric regularity for partial differential equations
433623/2018-7
Principal investigator
Pontifícia Universidade Católica do Rio de Janeiro, Brazil
 Conselho Nacional de Desenvolvimento Científico e Tecnológico
Concluded
2018 - 2021 Regularity theory for partial differential equations
E-26/200.002/2018
Principal investigator
Pontifícia Universidade Católica do Rio de Janeiro, Brazil
 Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro
Concluded
2015 - 2016 Nonlinear partial differential equations: well-posedness and regularity theory
15/13011-6
Principal investigator
Universidade Federal de São Carlos, Brazil
 Fundação de Amparo à Pesquisa do Estado de São Paulo
Outputs

Publications

Book
  1. Edgard A. Pimentel. Elliptic regularity by approximation methods. LMS Lecture Notes, Cambridge University Press. 2022.
    Published
  2. Diogo A. Gomes; Edgard A. Pimentel; Vardan Voskanyan. Regularity Theory for Mean-Field Game Systems. Springer International Publishing. 2016.
    10.1007/978-3-319-38934-9
  3. Diogo A. Gomes; Edgard A. Pimentel; Levon Nurbekyan. Economic models and mean-field games theory.. IMPA. 2015.
    Published
Book chapter
  1. Pimentel, Edgard A.; Santos, Makson S.. Corresponding author: Pimentel, Edgard A.. "Asymptotic Methods in Regularity Theory for Nonlinear Elliptic Equations: A Survey". In PDE Models for Multi-Agent Phenomena, 167-194. Springer International Publishing, 2018.
    10.1007/978-3-030-01947-1_8
  2. Gomes, Diogo A.; Pimentel, Edgard A.. Corresponding author: Pimentel, Edgard A.. "Regularity for Mean-Field Games Systems with Initial-Initial Boundary Conditions: The Subquadratic Case". In CIM Series in Mathematical Sciences, 291-304. Springer International Publishing, 2015.
    10.1007/978-3-319-16118-1_15
Journal article
  1. Bianca, Vincenzo; Pimentel, Edgard A.; Urbano, José. "Improved regularity for a Hessian-dependent functional". Proceedings of the American Mathematical Society 152 10 (2024): 4393-4403. https://doi.org/10.1090/proc/16894.
    10.1090/proc/16894
  2. Huaroto, Gerardo; Pimentel, Edgard A.; Rampasso, Giane C.; Swiech, Andrzej. "A Fully Nonlinear Degenerate Free Transmission Problem". Annals of PDE 10 1 (2024): http://dx.doi.org/10.1007/s40818-024-00168-x.
    10.1007/s40818-024-00168-x
  3. Correa, Julio C.; Pimentel, Edgard A.. "A Hessian-Dependent Functional With Free Boundaries and Applications to Mean-Field Games". The Journal of Geometric Analysis 34 3 (2024): http://dx.doi.org/10.1007/s12220-023-01542-0.
    10.1007/s12220-023-01542-0
  4. Bianca, Vincenzo; Pimentel, Edgard A.; Urbano, José Miguel. "BMO-regularity for a degenerate transmission problem". Analysis and Mathematical Physics 14 1 (2024): http://dx.doi.org/10.1007/s13324-023-00867-x.
    10.1007/s13324-023-00867-x
  5. Pimentel, Edgard A.; Santos, Makson. "Fully nonlinear free transmission problems". Interfaces and Free Boundaries 25 3 (2023): 325-342. http://dx.doi.org/10.4171/ifb/489.
    10.4171/ifb/489
  6. Jesus, David; Pimentel, Edgard A.; Urbano, José Miguel. "Fully nonlinear Hamilton-Jacobi equations of degenerate type". Nonlinear Analysis 227 (2023): 113181. http://dx.doi.org/10.1016/j.na.2022.113181.
    10.1016/j.na.2022.113181
  7. Pimentel, Edgard A.; Walker, Miguel. "Potential estimates for fully nonlinear elliptic equations with bounded ingredients". Mathematics in Engineering 5 3 (2023): 1-16. http://dx.doi.org/10.3934/mine.2023063.
    10.3934/mine.2023063
  8. Andrade, P.; Pellegrino, D.; Pimentel, Edgard A.; Teixeira, E.. "C1-regularity for degenerate diffusion equations". Advances in Mathematics 409 (2022): 108667. http://dx.doi.org/10.1016/j.aim.2022.108667.
    10.1016/j.aim.2022.108667
  9. Pimentel, Edgard A.; Swiech, Andrzej. "Existence of solutions to a fully nonlinear free transmission problem". Journal of Differential Equations 320 (2022): 49-63. http://dx.doi.org/10.1016/j.jde.2022.02.057.
    10.1016/j.jde.2022.02.057
  10. Pimentel, Edgard A.; Santos, Makson S.; Teixeira, Eduardo V.. "Fractional Sobolev regularity for fully nonlinear elliptic equations". Communications in Partial Differential Equations (2022): 1-20. http://dx.doi.org/10.1080/03605302.2022.2059676.
    Published • 10.1080/03605302.2022.2059676
  11. Pimentel, Edgard A.; Santos, Makson S.. Corresponding author: Pimentel, Edgard A.. "Improved regularity for the porous medium equation along zero level sets". Israel Journal of Mathematics 245 1 (2021): 135-151. http://dx.doi.org/10.1007/s11856-021-2208-z.
    Published • 10.1007/s11856-021-2208-z
  12. Pimentel, Edgard; Miguel Urbano, José. Corresponding author: Pimentel, Edgard. "Existence and improved regularity for a nonlinear system with collapsing ellipticity". ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2021): 1385-1400. http://dx.doi.org/10.2422/2036-2145.201903_006.
    10.2422/2036-2145.201903_006
  13. Héctor A. Chang-Lara; Edgard A. Pimentel. "Non-convex Hamilton-Jacobi equations with gradient constraints". Nonlinear Analysis 210 (2021): 112362-112362. https://doi.org/10.1016/j.na.2021.112362.
    10.1016/j.na.2021.112362
  14. Cirant, Marco; Gomes, Diogo A.; Pimentel, Edgard A.; Sánchez-Morgado, Héctor. Corresponding author: Gomes, Diogo A.. "On some singular mean-field games". Journal of Dynamics & Games 8 4 (2021): 445. http://dx.doi.org/10.3934/jdg.2021006.
    10.3934/jdg.2021006
  15. Bronzi, Anne C.; Pimentel, Edgard A.; Rampasso, Giane C.; Teixeira, Eduardo V.. Corresponding author: Teixeira, Eduardo V.. "Regularity of solutions to a class of variable-exponent fully nonlinear elliptic equations". Journal of Functional Analysis 279 12 (2020): 108781. http://dx.doi.org/10.1016/j.jfa.2020.108781.
    10.1016/j.jfa.2020.108781
  16. Carrillo, José A.; Pimentel, Edgard A.; Voskanyan, Vardan K.. Corresponding author: Carrillo, José A.. "On a mean field optimal control problem". Nonlinear Analysis 199 (2020): 112039. http://dx.doi.org/10.1016/j.na.2020.112039.
    10.1016/j.na.2020.112039
  17. Leitão, Raimundo; Pimentel, Edgard A.; Santos, Makson S.. Corresponding author: Pimentel, Edgard A.. "Geometric regularity for elliptic equations in double-divergence form". Analysis & PDE 13 4 (2020): 1129-1144. http://dx.doi.org/10.2140/apde.2020.13.1129.
    10.2140/apde.2020.13.1129
  18. Edgard A Pimentel; Giane C Rampasso; Makson S Santos. "Improved regularity for the p-Poisson equation". Nonlinearity (2020): https://doi.org/10.1088/1361-6544/ab7d21.
    10.1088/1361-6544/ab7d21
  19. Edgard A. Pimentel. "Regularity theory for the Isaacs equation through approximation methods". Annales de l'Institut Henri Poincaré C, Analyse non linéaire 36 1 (2019): 53-74. https://doi.org/10.1016/j.anihpc.2018.03.010.
    10.1016/j.anihpc.2018.03.010
  20. Ricardo Castillo; Edgard A. Pimentel. "Interior Sobolev regularity for fully nonlinear parabolic equations". Calculus of Variations and Partial Differential Equations 56 5 (2017): https://doi.org/10.1007%2Fs00526-017-1227-4.
    10.1007/s00526-017-1227-4
  21. Edgard Pimentel; Vardan Voskanyan. "Regularity for second order stationary mean-field games". Indiana University Mathematics Journal 66 1 (2017): 1-22. https://doi.org/10.1512%2Fiumj.2017.66.5944.
    10.1512/iumj.2017.66.5944
  22. Edgard A. Pimentel; Eduardo V. Teixeira. "Sharp Hessian integrability estimates for nonlinear elliptic equations: An asymptotic approach". Journal de Mathématiques Pures et Appliquées 106 4 (2016): 744-767. https://doi.org/10.1016%2Fj.matpur.2016.03.010.
    10.1016/j.matpur.2016.03.010
  23. Edgard A. Pimentel; Juliana F.S. Pimentel. "Estimates for a class of slowly non-dissipative reaction-diffusion equations". Rocky Mountain Journal of Mathematics 46 3 (2016): 1011-1028. https://doi.org/10.1216%2Frmj-2016-46-3-1011.
    10.1216/rmj-2016-46-3-1011
  24. Diogo A. Gomes; Edgard Pimentel; Héctor Sánchez-Morgado. "Time-dependent mean-field games in the superquadratic case". ESAIM: Control, Optimisation and Calculus of Variations 22 2 (2016): 562-580. https://doi.org/10.1051%2Fcocv%2F2015029.
    10.1051/cocv/2015029
  25. Diogo A. Gomes; Edgard Pimentel. "Time-Dependent Mean-Field Games with Logarithmic Nonlinearities". SIAM Journal on Mathematical Analysis 47 5 (2015): 3798-3812. https://doi.org/10.1137%2F140984622.
    10.1137/140984622
  26. Diogo A. Gomes; Edgard A. Pimentel; Héctor Sánchez-Morgado. "Time-Dependent Mean-Field Games in the Subquadratic Case". Communications in Partial Differential Equations 40 1 (2014): 40-76. https://doi.org/10.1080%2F03605302.2014.903574.
    10.1080/03605302.2014.903574
Newspaper article
  1. Pimentel, Edgard A.. "A consciência também é matemática", Folha de São Paulo, 2024, https://www1.folha.uol.com.br/blogs/ciencia-fundamental/2024/01/a-consciencia-tambem-e-matematica.shtml.
  2. Pimentel, Edgard A.. "O que é racionalidade?", Folha de São Paulo, 2023, https://www1.folha.uol.com.br/blogs/ciencia-fundamental/2023/12/o-que-e-racionalidade.shtml.
  3. Pimentel, Edgard A.. "Diga-me quem premias e te direi quem és", Folha de São Paulo, 2023, https://www1.folha.uol.com.br/blogs/ciencia-fundamental/2023/10/diga-me-quem-premias-e-te-direi-quem-es.shtml.
  4. Pimentel, Edgard A.. "Como a matemática explica as cidades", Folha de São Paulo, 2023, https://www1.folha.uol.com.br/blogs/ciencia-fundamental/2023/09/como-a-matematica-explica-as-cidades.shtml.
  5. Pimentel, Edgard A.. "O que é contar?", Folha de São Paulo, 2023, https://www1.folha.uol.com.br/blogs/ciencia-fundamental/2023/08/o-que-e-contar.shtml.
  6. Pimentel, Edgard A.. "Números de Ramsey: menor do que isto, maior do que aquilo", Folha de São Paulo , 2023, https://www1.folha.uol.com.br/blogs/ciencia-fundamental/2023/06/numeros-de-ramsey-menor-do-que-isto-maior-do-que-aquilo.shtml.
  7. Pimentel, Edgard A.. "Menos com menos é mais: o papel do erro na matemática", Folha de São Paulo, 2023, https://www1.folha.uol.com.br/blogs/ciencia-fundamental/2023/05/menos-com-menos-e-mais-o-papel-do-erro-na-matematica.shtml.
  8. Pimentel, Edgard A.. "A matemática Tontines", Folha de São Paulo, 2023, https://www1.folha.uol.com.br/blogs/ciencia-fundamental/2023/04/a-matematica-tostines.shtml.
  9. Pimentel, Edgard A.. "Nada sei: como ser cientista", Folha de São Paulo, 2023, https://www1.folha.uol.com.br/blogs/ciencia-fundamental/2023/03/nada-sei-como-ser-cientista.shtml.
  10. Pimentel, Edgard A.. "Precisamos garantir o acesso à inspiração", Folha de São Paulo, 2023, https://www1.folha.uol.com.br/blogs/ciencia-fundamental/2023/01/precisamos-garantir-o-acesso-a-inspiracao.shtml.
  11. Pimentel, Edgard A.. "Inteligência artificial e a diferença entre fazer e usar", Folha de São Paulo, 2022, https://www1.folha.uol.com.br/blogs/ciencia-fundamental/2022/08/inteligencia-artificial-e-a-diferenca-entre-fazer-e-usar.shtml.
  12. Pimentel, Edgard A.. "Sem provar nada a ninguém", Folha de São Paulo, 2022, https://www1.folha.uol.com.br/blogs/ciencia-fundamental/2022/06/sem-provar-nada-a-ninguem.shtml.
  13. Pimentel, Edgard A.. "Matemática em tempos de cólera", Folha de São Paulo , 2022, https://www1.folha.uol.com.br/blogs/ciencia-fundamental/2022/04/matematica-em-tempos-de-colera.shtml.
  14. Pimentel, Edgard A.. "Pra que contar além de 10?", Folha de São Paulo, 2022, https://www1.folha.uol.com.br/blogs/ciencia-fundamental/2022/02/pra-que-contar-alem-de-10.shtml.
  15. Pimentel, Edgard A.. "E se a matemática fosse uma ciência exata?", Folha de São Paulo , 2021, https://www1.folha.uol.com.br/blogs/ciencia-fundamental/2021/12/e-se-a-matematica-fosse-uma-ciencia-exata.shtml.
  16. Pimentel, Edgard A.. "Os dados (não?) mentem", Folha de São Paulo, 2021, https://cienciafundamental.blogfolha.uol.com.br/2021/07/16/os-dados-nao-mentem/.
  17. Pimentel, Edgard A.. "Elementar, senhores juízes: a matemática e a espionagem", Folha de São Paulo, 2021, https://cienciafundamental.blogfolha.uol.com.br/2021/07/08/elementar-senhores-juizes-a-matematica-e-a-espionagem/.
  18. Pimentel, Edgard A.. "Dois rabinos se encontram na lousa", Folha de São Paulo, 2021, https://cienciafundamental.blogfolha.uol.com.br/2021/05/29/dois-rabinos-se-encontram-na-lousa/.
  19. Pimentel, Edgard A.. "Quando a arte é um problema de matemática", Folha de São Paulo, 2021, https://cienciafundamental.blogfolha.uol.com.br/2021/02/03/quando-a-arte-e-um-problema-de-matematica/.
  20. Pimentel, Edgard A.. "A matemática da formação de um par perfeito", Folha de São Paulo, 2020, https://cienciafundamental.blogfolha.uol.com.br/2020/07/08/a-matematica-da-formacao-de-um-par-perfeito/.
  21. Pimentel, Edgard A.. "Onde fica, quanto é, ou quanto dura o infinito?", Folha de São Paulo, 2020, https://cienciafundamental.blogfolha.uol.com.br/2020/06/24/onde-fica-quanto-e-ou-quanto-dura-o-infinito/.
  22. Pimentel, Edgard A.. "O barato da natureza, mais barato na matemática", Folha de São Paulo, 2020, https://cienciafundamental.blogfolha.uol.com.br/2020/05/20/o-barato-da-natureza-mais-barato-na-matematica/.
Preprint
  1. Gomes, Filipe; Pimentel, Edgard A.. "On super-solutions to fully nonlinear equations with measurable ingredients". 2024. http://www.mat.uc.pt/preprints/ps/p2402.pdf.
  2. Bianca, Vincenzo; Pimentel, Edgard A.; Urbano, José Miguel. "Improved regularity for a Hessian-dependent functional". 2023. https://arxiv.org/abs/2306.10995.
  3. Moreira, Diego; Pimentel, Edgard A.. Corresponding author: Pimentel, Edgard A.. "Flipping regularity via the Harnack approach and applications to nonlinear elliptic problems". 2022. https://arxiv.org/abs/2212.06209.
  4. Huaroto, Gerardo; Pimentel, Edgard A.; Rampasso, Giane C.; Swiech, Andrzej. "A fully nonlinear degenerate free transmission problem". 2020. https://arxiv.org/abs/2008.06917.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2023/11 Recent developments in fully nonlinear degenerate free boundary problems Oxford Nonlinear PDE Group Seminar
Oxford University (Oxford, United Kingdom)
2023/10 Degenerate fully nonlinear diffusions: from PDE to interfaces Euro-Japanese Conference on Nonlinear Diffusion
ICMAT (Madrid, Spain)
2023/05 Degenerate fully nonlinear diffusions: from PDE to interfaces Seminario de ecuaciones diferenciales no lineales
Universidad Nacional Autónoma de Mexico (DF, Mexico)
2023/02 A glimpse on the regularity theory for fully nonlinear operators Lisbon WADE
Faculdade de Ciências da Universidade de Lisboa (Lisbon, Portugal)
2022/10 Apropos of a few things: an overview of recent developments in nonlinear PDE IV Brazilian Congress of Young Researchers in Mathematics
Universidade Federal da Paraíba (João Pessoa, Brazil)
2022/09 Regularity theory for degenerate diffusions: from PDE to interfaces IMPAN Workshop Nonuniformly Elliptic Problems
Institute of Mathematics, Polish Academy of Sciences (Warsaw, Poland)
2022/08 Flipping geometries: a nonlocal regularity theory for local elliptic problems Encontro Conjunto Brasil-Portugal em Matemática
SBM-SPM (Salvador, Brazil)
2022/06 Fractional regularity for (non-fractional) fully nonlinear PDE Seminario di Analisi Matematica
University of Parma (Parma, Italy)
2022/05 Fully nonlinear free transmission problems Analysis Seminar
International Centre for Theoretical Physics (Trieste, Italy)
2022 Regularity theory: from PDE to interfaces and beyond CMUC Analysis Seminar
CMUC (Coimbra, Portugal)
2021 Nodal sets for elliptic equations in the double-divergence form International Conference Free Boundary Problems 2021
Weierstrass Institute for Applied Analysis and Stochastics (WIAS) Berlin (Berlin, Germany)
2021 Regularity theory: from PDE to interfaces and beyond TWAS-TYAN Virtual Thematic Workshop on PDE
TWAS - The World Academy of Sciences (Italy)
2020 A glimpse at regularity theory: from PDE to interfaces Analysis Seminar
SISSA (Trieste, Italy)
2020 A glimpse at regularity theory: from PDE to interfaces Oberseminar Analysis-Probability
Max Planck Institute for Mathematics in the Sciences (MiS) (Leipzig, Germany)
2019 Geometric regularity theory for (nonlinear) partial differential equations. 12th Americas Conference on Differential Equations and Nonlinear Analysis (Americas XII)
CIMAT, Guanajuato (Guanajuato, Mexico)
2019 Improved regularity along singular sets Swedish summer PDEs
Erik Lindgren, Andreas Minne, Henrik Shahgholian (Stockholm, Sweden)
2019 Regularity theory for nonlinear PDEs Geometric Measure Theory and Free Boundary Problems
Hausdorff Research Institute for Mathematics (Bonn, Germany)
2018 Approximation methods in regularity theory for nonlinear PDEs Analysis Seminar
Technion, Israel Institute of Technology (Haifa, Israel)
2018 Approximation methods in regularity theory for nonlinear PDEs Analysis Seminar, Imperial College London
José A. Carrillo, Imperial College London (London, United Kingdom)

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2023/12 - Current Anomalous diffusions: new perspectives at the intersection of analytical and numerical methods
Co-supervisor
 Programa Inter-Universitário de Doutoramento em Matemática (PhD)
Universidade de Coimbra Centro de Matemática, Portugal
2021 - Current Transmission problems: regularity theory and beyond
Co-supervisor
 Programa Inter-Universitário de Doutoramento em Matemática (PhD)
Universidade de Coimbra Centro de Matemática, Portugal
2019/07 - 2023/12 Regularity Theory for Nonlinear Partial Differential Equations
Co-supervisor
 Mathematics (PhD)
Pontifícia Universidade Católica do Rio de Janeiro, Brazil
2018 - 2023/04 Regularity theory for fully nonlinear degenerate problems
Co-supervisor of David Jesus
 Programa Inter-Universitário de Doutoramento em Matemática (PhD)
Universidade de Coimbra Centro de Matemática, Portugal
2019 - 2021 Existence and regularity of solutions: nonlocal and nonlinear models
Supervisor
 Mathematics (PhD)
Pontifícia Universidade Católica do Rio de Janeiro, Brazil
2017 - 2020 Towards a regularity theory for fully nonlinear models
Supervisor
 Mathematics (PhD)
Pontifícia Universidade Católica do Rio de Janeiro, Brazil
2017 - 2020 Regularity theory for fully nonlinear models: interfaces and free boundaries
Supervisor
 Mathematics (PhD)
Pontifícia Universidade Católica do Rio de Janeiro, Brazil
2017 - 2019 On the regularity theory for a class of state-dependent degenerate diffusions
Supervisor
 Mathematics (PhD)
Universidade Estadual de Campinas, Brazil

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2022/05 - Current CMUC Analysis Seminar (2022/05)
Seminar (Co-organisor)
 Universidade de Coimbra Centro de Matemática, Portugal
2021/10 - 2022/07 Three Nonlinear Days in Coimbra: A CAMGSD-CMUC Workshop in Nonlinear Analysis (2022/07 - 2022/07)
Conference (Co-organisor)
 Universidade de Coimbra Centro de Matemática, Portugal
2021/09 - 2022/03 Mini-Symposium entitled Free boundaries, regularity theory and degenerate models. SIAM Conference on Partial Differential Equations (2022/03 - 2022/03)
Conference (Co-organisor)
 Universidade de Coimbra Centro de Matemática, Portugal
2021/05 - 2022/01 CMUC Learning Seminar on Analysis (2021/05 - 2022/01)
Seminar (Co-organisor)
 Universidade de Coimbra Centro de Matemática, Portugal
2021/01 - 2021/08 Thematic Session on Partial Differential Equations Brazilian Colloquium in Mathematics, IMPA (2021/08 - 2021/08)
Conference (Co-organisor)
 Instituto Nacional de Matemática Pura e Aplicada, Brazil
2020/03 - 2021/01 Rio de Janeiro Webinar on Analysis and PDE (2020/03 - 2021/01)
Seminar (Co-organisor)
 Pontifícia Universidade Católica do Rio de Janeiro, Brazil
2019/01 - 2019/08 Thematics session on Partial Differential Equations Brazilian Colloquium in Mathematics (2019/08 - 2019/08)
Conference (Co-organisor)
 Instituto Nacional de Matemática Pura e Aplicada, Brazil
2018 - 2018 International Congress of Mathematicians 2018, ICM2018 Member of the local organization, working at the program sub-committee (2018/08/01)
Congress (Member of the Organising Committee)
 Instituto Nacional de Matemática Pura e Aplicada, Brazil

Sociedade Brasileira de Matemática, Brazil

Ad Hoc journal article review

Journal title (ISSN) Publisher
2023 - Current Memoirs of the European Mathematical Society
2022 - Current Journal of Functional Analysis
2021 - Current Journal de Mathématiques Pures et Appliquées
2021 - Current Proceedings of the American Mathematical Society
2021 - Current Interfaces and Free Boundaries
2020 - Current Memoirs of the American Mathematical Society
2020 - Current International Mathematics Research Notices
2018 - Current Calculus of Variations and Partial Differential Equations
2018 - Current Communications in Partial Differential Equations
2017 - Current Nonlinear Analysis
2017 - Current Mathematische Annalen

Committee member

Activity description
Role 		Institution / Organization
2021/04 - 2021/08 National Evaluation of Graduate Programs in Mathematics - QUALIS
Member
 CAPES, Ministry of Education, Brazil
2019/07 - 2021/08 National Evaluation of Graduate Programs in Mathematics
Member
 CAPES, Ministry of Education, Brazil
2020 - 2020 CAPES - Thesis Award in Mathematics. Ministry of Education, Brazil
President / Vice-president
 CAPES, Ministry of Education, Brazil
2020 - 2020 CAPES - Grand Thesis Award in Exact Sciences, Ministry of Education, Brazil
President / Vice-president
 CAPES, Ministry of Education, Brazil
2018 - 2018 CAPES Thesis Award in Mathematics, Ministry of Education, Brazil
Member
 CAPES, Ministry of Education, Brazil

Conference scientific committee

Conference name Conference host
2023/11 - 2024/07 Regularity theory and free boundary problems: from PDE to interfaces CMUC, University of Coimbra

Interview (tv / radio show)

Program Topic
2021/10/17 - 2021/10/17 Book launch - A matemática é política, by Chiara Valério
Distinctions

Award

2024 London Mathematical Society Distinguished Visiting Fellow
2018 Jovem Cientista do Estado do Rio de Janeiro
Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro, Brazil

Title

2024 Member of the Seminar of Young Scientists
Academia das Ciências de Lisboa, Portugal
2020 Affiliated Member, Brazilian Academy of Sciences (elected)
Academia Brasileira de Ciências, Brazil

Other distinction

2018 Junior Associate Fellow
Abdus Salam International Centre for Theoretical Physics, Italy