Edgard completed his PhD in Mathematics at the Instituto Superior Técnico of the Universidade de Lisboa (Portugal, 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 ICMC-USP (São Carlos). In 2016, Prof. Pimentel obtained his Habilitation (Livre-Docência) at USP (ICMC). Pimentel was selected as a Jovem Cientista do Estado do Rio de Janeiro (2018) and is a former grantee of Instituto Serrapilheira. A Junior Associate Fellow of the International Centre for Theoretical Physics (ICTP, Trieste), Prof. Edgard was ellected an Affiliate Member of the Brazilian Academy of Sciences (ABC) in 2019. In 2024, Edgard was selected to join the Seminário de Jovens Cientistas of the Lisbon Academy of Sciences. With previous professorial positions in São Paulo and Rio de Janeiro, Edgard is currently an Associate Professor with Habilitation (Agregaçã0) in the Department of Mathematics at the University of Coimbra and a researcher at the Centre for Mathematics at the same University (CMUC).
Prof. Pimentel likes to think about Partial Differential Equations, with emphasis on regularity theory and free boundary problems involving fully nonlinear models. Recently, Edgard has grown fond of harmonic maps and their variations. An enthusiast of scientific outreach, has contributed to the blog Ciência Fundamental, produced by Instituto Serrapilheira and Folha de São Paulo.
A self-proclaimed expert in poorly-prepared hummus and overcooked shakshukah, Edgard has grown very fond of the (magical) regularity properties of the so-called 'nevada'. Inspired by a dear friend, whose shoes fear neither sand nor the sea, he insists on the clarinet. Appearing consistently on the show 'mathematicians in offices having coffee', he is a polytheist and believes in A'gerich, B'renboim, B'ssa-Luís, R'th, S'infeld, T'rantino and Z'nussi.
To download my complete CV, click here.
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Boundary regularity for a fully nonlinear free transmission problem
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Differentiability of solutions for a degenerate fully nonlinear free transmission problem
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Hessian regularity in Hölder spaces for a semi-linear bi-Laplacian equation
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On super-solutions to fully nonlinear equations with measurable ingredients
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Improved regularity for Hessian-dependent functionals
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A fully nonlinear degenerate free transmission problem
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3 |
A Hessian-dependent functional with free boundaries and applications to mean-field games
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4 |
BMO-regularity for a degenerate transmission problem
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A fully nonlinear free transmission problem
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Potential estimates for fully nonlinear elliptic equations with bounded ingredients
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7 |
Fully nonlinear Hamilton-Jacobi equation of degenerate type
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A note on the density of the partial regularity result in the class of viscosity solutions
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9 |
C1-regularity for degenerate diffusion equations
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10 |
Fractional Sobolev regularity for fully nonlinear elliptic equations
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11 |
Existence of solutions to a fully nonlinear free transmission problem
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Stationary fully nonlinear mean-field games
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Improved regularity for the porous medium equation along zero level-sets
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Existence and improved regularity for a nonlinear system with collapsing ellipticity
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Non-convex Hamilton-Jacobi equations with gradient constraints
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On some singular mean-field games
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Regularity of solutions to a class of variable-exponent fully nonlinear elliptic equations
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On a mean field optimal control problem
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19 |
Geometric regularity for elliptic equations in double-divergence form
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20 |
Improved regularity for the p-Poisson equation
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21 |
Regularity theory for the Isaacs equation through approximation methods
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22 |
Interior Sobolev regularity for fully nonlinear parabolic equations
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23 |
Regularity theory for second-order stationary mean-field games
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24 |
Sharp Hessian integrability for nonlinear elliptic equations: an asymptotic approach
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25 |
Time dependent mean-field games in the superquadratic case
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26 |
Time dependent mean-field games with logarithmic nonlinearities
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27 |
Time dependent mean-field games in the subquadratic case
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Asymptotic methods in regularity theory for nonlinear elliptic equations: a survey
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Regularity for mean-field games systems with initial-initial boundary conditions: the subquadratic case
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Elliptic regularity theory by approximation methods.
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Regularity theory for mean-field game systems.
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Economic models and mean-field games theory.
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My research interests sit at the intersection of Regularity Theory for (nonlinear) Partial Differential Equations (PDE), Free Boundary Problems and Geometric Analysis.
Learning Seminar on Analysis of PDEs: click here for information
Click here for my profile on GoogleScholar
Click here for my profile on Mathematical Reviews
Click here to watch a lecture of mine at the Hausdorff Research Institute (Bonn)
Click here to watch a lecture of mine at BIRS-Banff
Note: if you are a graduate student or a young post-doc interested in working in my group, please do not hesitate in dropping me a line.
Feb
2025
Virtual Analysis and PDE Seminar
Invited Speaker
Nov
2024
Scientific visit
Prof. Julio Cesar Correa (UERJ, Brazil)
Supported by CMUC
Nov
2024
UFSCar Workshop on PDEs 2024 edition
70th birthday of Olimpio H. Miyagaki
Invited Speaker
Nov
2024
Scientific visit
Prof. Damião Araújo (UFPB, Brazil)
Oct
2024
Scientific visit to Prof. Filippo Santambrogio
Institut Camille Jordan
Université Claude Bernard - Lyon 1
Campus France
Jul
2024
Regularity theory and free boundary problems: from PDE to Interfaces
Satellite Conference ECM2024
Chair of the OC
Jul
2024
European Congress of Mathematics 2024 ECM2024
Co-organizer of a Mini-Symposium
May
2024
Modern Methods in Nonlinear Elliptic and Parabolic PDE
Invited Speaker
Nov
2023
Scientific visit to José Carrillo
OxPDE Lunchtime Seminar Series
Oxford
Oct
2023
2023 Thematic Period PDEs ICMAT-UAM
Euro-Japanese Conference on Nonlinear Diffusions
Invited Speaker
May
2023
Scientific visit to Héctor Chang-Lara
CIMAT, Guanajato
Apr-May
2023
Agenda blocked
Apr
2023
Meeting w/ the Evaluation Committee of
UC|UP PhD Program in Mathematics
Apr
2023
Analysis seminar and
scientific visit to Marta Calanchi
Mar
2023
Public colloquium
Charles University, Prague
Feb
2023
Scientific visit to
Cristiana de Filippis and
Giuseppe Mingione
Jan
2023
Lisbon WADE
Invited speaker
Dec
2022
Projeto Delfos
Invited speaker (scientific outreach)
Nov
2022
Mittag-Leffler Institute
Research program
Geometric Aspects of Nonlinear PDEs
Oct
2022
IV Congresso de Jovens Pesquisadores em Matemática
Pleanry speaker
Sep
2022
Nonuniformly elliptic problems
Invited speaker
Aug
2022
Encontro Conjunto Brasil-Portugal
Plenary speaker
Jul
2022
International Congress of Mathematicians
ICM2022 (Remote)
Jul
2022
Three Nonlinear Days in Coimbra: a CAMGSD-CMUC Workshop in Nonlinear Analysis
Co-organized w/ Hugo Tavares
May-Jul
2022
Scientific Visit
ICTP
Mar
2022
SIAM Conference on Analysis of PDE
Mar
2022
Scientific visit to Pêdra Andrade, Makson Santos and Hugo Tavares
Instituto Superior Técnico
Jan
2022
CMUC Analysis Seminar
Oct
2021
An introduction to mean-field games
Shanghai Jiao Tong U.
Invited by Prof. Kaizhi Wang
Sep
2021
TWAS-TYAN Virtual workshop on PDE
Sep
2021
Free boundary problems 2021
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Ortenilton dos Santos Filho, since 2023
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Vincenzo Bianca, Sep 2024
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Miguel Walker, Dec 2023
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3 |
David Jesus, Apr 2023
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4 |
Edison Cuba, Jul 2021
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5 |
Makson Sales Santos, Aug 2020
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6 |
Pêdra Daricléa Santos Andrade, Aug 2020
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Giane Casari Rampasso, Feb 2019
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3001 – 501 Coimbra, Portugal
edgard.pimentel [at] mat [dot] uc [dot] pt