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Diogo Gomes

Professor, Applied Mathematics and Computational Science

Chair, Applied Mathematics and Computational Science Program

Principal Investigator, Mean-field Games and Nonlinear PDE

Computer, Electrical and Mathematical Science and Engineering Division
Email icon diogo.gomes@kaust.edu.sa

My passion in PDEs urges for direct applications to enable scientific and social advancement.

Program Affiliations

Biography

Diogo Gomes is a professor of Applied Mathematics and Computational Science (AMCS) at KAUST.

He received his Ph.D. in Mathematics in 2000 from the University of California at Berkeley, U.S. Gomes completed his postdoctoral studies at the Institute for Advanced Study, Princeton University, U.S., in 2000, and at the University of Texas at Austin, U.S., in 2001. In 2006, he earned a Habilitation in Mathematics from the Technical University of Lisbon, Portugal.

In recognition of his academic excellence, Gomes was awarded UC Berkeley’s Morrey Prize in 1997. He has served as Editor of Minimax Theory and its Applications and the Journal of Dynamics and Games and Dynamic Games and Applications.

Research Interests

Professor Gomes' work focuses on partial differential equations (PDEs), namely viscosity solutions to elliptic, parabolic and Hamilton-Jacobi equations.

His research encompasses classical PDE questions—such as well-posedness, existence and uniqueness and regularity theory—and numerical methods and their applications. Gomes is particularly interested in applying mean-field game models to social sciences, economics and finance.
Keyword tag icon
mean-field games Hamilton-Jacobi equations nonlinear PDEs

Education Profile

  • 2006, Habilitation in Mathematics, Universidade Tecnica de Lisboa, Portugal

  • 2000, Ph.D. in Mathematics, University of California at Berkeley, USA1996, M.Sc. in Mathematics, Instituto Superior Tecnico, Portugal1995, B.Sc. in Physics Engineering, Instituto Superior Tecnico, Portugal

Awards and Recognitions

  • Morrey Prize, UC Berkeley, 1997

Publications

  • Gomes, Diogo; Sánchez Morgado, Héctor (2014); A stochastic Evans-Aronsson problem. Trans. Amer. Math. Soc. 366 (2), 903–929.

  • Cagnetti, F., Gomes, D., & Tran, H. V. (2013). Adjoint methods for obstacle problems and weakly coupled systems of PDE. ESAIM - Control, Optimisation and Calculus of Variations, 19(3), 754-779.

  • Gomes, D. A., Mohr, J., & Souza, R. R. (2013). Continuous time finite state mean field games. Applied Mathematics and Optimization, 68 (1), 99-143.

  • Cagnetti, F., Gomes, D., & Tran, H. V. (2011). Aubry-mather measures in the nonconvex setting. SIAM Journal on Mathematical Analysis, 43 (6), 2601-2629.

  • Gomes, D. A., Mohr, J., & Souza, R. R. (2010). Discrete time, finite state space mean field games. Journal Des Mathematiques Pures Et Appliquees, 93(3), 308-328.

Research Areas

Multimedia