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 postdoctoral positions at CAMGSDISTUL (Lisbon), IMPA (Rio de Janeiro) and ICMCUSP (São Carlos). In 2016, Prof. Pimentel obtained his Habilitation (LivreDocência) 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 professoral positions in São Paulo and Rio de Janeiro, Edgard is currently an Assistant Professor 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 selfproclaimed expert in poorlyprepared hummus and overcooked shakshukah, Edgard has grown very fond of the (magical) regularity properties of the socalled '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'ssaLuís, R'th, S'infeld, T'rantino and Z'nussi.
To download my complete CV, click here.
1 
Hessian regularity in Hölder spaces for a semilinear biLaplacian equation


2 
On supersolutions to fully nonlinear equations with measurable ingredients

3 
Flipping regularity via the Harnack approach and applications to nonlinear elliptic problems

1 
Improved regularity for Hessiandependent functionals


2 
A fully nonlinear degenerate free transmission problem

3 
A Hessiandependent functional with free boundaries and applications to meanfield games

4 
BMOregularity for a degenerate transmission problem

5 
A fully nonlinear free transmission problem

6 
Potential estimates for fully nonlinear elliptic equations with bounded ingredients

7 
Fully nonlinear HamiltonJacobi equation of degenerate type

8 
A note on the density of the partial regularity result in the class of viscosity solutions

9 
C^{1}regularity for degenerate diffusion equations

10 
Fractional Sobolev regularity for fully nonlinear elliptic equations

11 
Existence of solutions to a fully nonlinear free transmission problem

12 
Stationary fully nonlinear meanfield games

13 
Improved regularity for the porous medium equation along zero levelsets

14 
Existence and improved regularity for a nonlinear system with collapsing ellipticity

15 
Nonconvex HamiltonJacobi equations with gradient constraints

16 
On some singular meanfield games

17 
Regularity of solutions to a class of variableexponent fully nonlinear elliptic equations

18 
On a mean field optimal control problem

19 
Geometric regularity for elliptic equations in doubledivergence form

20 
Improved regularity for the pPoisson equation

21 
Regularity theory for the Isaacs equation through approximation methods

22 
Interior Sobolev regularity for fully nonlinear parabolic equations

23 
Regularity theory for secondorder stationary meanfield games

24 
Sharp Hessian integrability for nonlinear elliptic equations: an asymptotic approach

25 
Time dependent meanfield games in the superquadratic case

26 
Time dependent meanfield games with logarithmic nonlinearities

27 
Time dependent meanfield games in the subquadratic case

1 
Asymptotic methods in regularity theory for nonlinear elliptic equations: a survey


2 
Regularity for meanfield games systems with initialinitial boundary conditions: the subquadratic case

1 
Elliptic regularity theory by approximation methods.


2 
Regularity theory for meanfield game systems.

3 
Economic models and meanfield games theory.

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
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Note: if you are a graduate student or a young postdoc interested in working in my group, please do not hesitate in dropping me a line.
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 ICMATUAM
EuroJapanese Conference on Nonlinear Diffusions
Invited Speaker
May
2023
Scientific visit to Héctor ChangLara
CIMAT, Guanajato
AprMay
2023
Agenda blocked
Apr
2023
Meeting w/ the Evaluation Committee of
UCUP 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
MittagLeffler 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 BrasilPortugal
Plenary speaker
Jul
2022
International Congress of Mathematicians
ICM2022 (Remote)
Jul
2022
Three Nonlinear Days in Coimbra: a CAMGSDCMUC Workshop in Nonlinear Analysis
Coorganized w/ Hugo Tavares
MayJul
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 meanfield games
Shanghai Jiao Tong U.
Invited by Prof. Kaizhi Wang
Sep
2021
TWASTYAN Virtual workshop on PDE
Sep
2021
Free boundary problems 2021
1 
Ortenilton dos Santos Filho, since 2023


2 
Vincenzo Bianca, since 2021

1 
Miguel Walker, Dec 2023


2 
David Jesus, Apr 2023

3 
Edison Cuba, Jul 2021

4 
Makson Sales Santos, Aug 2020

5 
Pêdra Daricléa Santos Andrade, Aug 2020

6 
Giane Casari Rampasso, Feb 2019

3001 – 501 Coimbra, Portugal
edgard.pimentel [at] mat [dot] uc [dot] pt