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Personal profile

Research Overview

Professor Gomes’s research interests are in partial differential equations (PDE), namely on viscosity solutions of elliptic, parabolic and Hamilton-Jacobi equations as well as in related mean-field models. This area includes a large class of PDEs and examples, ranging from classical linear equations to highly nonlinear PDEs, including the Monge-Ampere equation, geometric equations for image processing, non-linear elasticity equations and the porous media equation. His research is motivated directly or indirectly by concrete applications. These include population and crowd modeling, price formation and extended mean-field models, numerical analysis of infinite dimensional PDEs and computer vision.

Key Research Areas

Applied Mathematics and Computational Science

Expertise related to UN Sustainable Devlopment Goals

In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):

  • SDG 9 - Industry, Innovation, and Infrastructure

Education

Mathematics, Habilitation, University of Lisbon

2006

Award Date: Jan 1 2006

Mathematics, Ph.D., University of California at Berkeley

2000

Award Date: Jan 1 2000

Mathematics, M.S., University of Lisbon

1996

Award Date: Jan 1 1996

Physics Engineering, B.S., University of Lisbon

1995

Award Date: Jan 1 1995

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