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CENTRO DE MATEMÁTICA, APLICAÇÕES FUNDAMENTAIS E INVESTIGAÇÃO OPERACIONAL
CMAFcIO (Center of Mathematics, Fundamental Applications and Operations Research) is a R&D Unit of the Fundação para a Ciência e Tecnologia (FCT, the Portuguese national funding agency for science, research and technology), with the project reference UIDB/04561/2020 and UIDP/04561/2020. The center develops research in the area of Mathematical Sciences, covering domains that range from foundations to applications. Its main objectives are to pursue deep studies in areas of mathematics, to train young researchers at several stages of their career, and to foster and develop applications to relevant problems in the Sciences and from Industry. Along with dissemination of scientific results, the unit promotes the communication of mathematics in schools and for the wider public.
This R&D Unit is the result of a merge, effective since 2015, of the previous Units CMAF and CIO. The new Unit maintained the ranking “Excellent” in the last FCT’s 2013 evaluation which was a confirmation of the previous “Excellent” of the two former Units.
This Unit is formed by:
- a Directive Board:
- Carlos Florentino (coordinator)
- Gilda Ferreira
- Luis Gouveia
- Nicolas Van Goethem
- an international Advisory Committee:
- Angus Macintyre
- Irene Fonseca
- Martine Labbé
- Vicente Muñoz
- 46 members
- 12 PhD Students and
- 42 collaborators
Members come from the ULisboa (mainly from Ciências, a few from Instituto Superior de Economia e Gestão (ISEG), Instituto Superior Técnico (IST) and Instituto Superior de Agronomia (ISA)) and from schools in Faro, Setúbal, Leiria and Coimbra.
We group the significant contributions of the unit into three areas of research:
|(1) ALGEBRA, LOGIC AND GEOMETRY||(2) NONLINEAR ANALYSIS AND DIFFERENTIAL EQUATIONS||(3) OPERATIONS RESEARCH AND OPTIMIZATION|
|Includes active researchers with a significant international visibility, working in Proof Theory, Model Theory and Combination of Logic, as well as in Geometry, namely Willmore surfaces, D-Modules, Algebraic Geometry, and discrete and continuous Dynamical Systems.||
Includes one of the largest and strongest group in Portugal in Differential Equations – Ordinary and Partial Differential Equations – with expertise in Calculus of Variations and several applications in Mathematical Physics and in Biomathematics.
Relevant topics are the study of specific equations, such as Navier-Stokes, Schrödinger and Kac-Boltzman, quasilinear hyperbolic systems, together with Kepler-type problems, funcional-differential equations, kinetic theory of gases, phase field models, elasto-plasticity, free boundary problems, shape optimisation, renormalisation and signal processing.
|Includes researchers from a pioneer group in Portugal whose scientific production in Discrete and Network Optimisation is considered a reference at international level. Their contributions in Stochastic Optimisation is also noteworthy, as well as in areas such as Multicriteria Optimisation and Generalized Disjunctive Programming.|
Some of the research done by members of this unit, namely from areas (2) and (3), can be filed under APPLIED AND INDUSTRIAL MATHEMATICS. The increased visibility of this field in the unit is a consequence of the merge of two former units. Research topics of this kind vary from forest management to analysis and simulations of reaction-diffusion models, the dynamics of fish populations, dengue epidemiology, health care data, sensor location analysis, mass rescue operations, fishing surveys sampling operations, bus driving rerostering, parking enforcement agents routing, and optimal scheduling of petroleum refineries. Examples of partners in Industry are Portuguese Navy, EMEL (Mobility and Parking in Lisbon), IPMA (Sea and Atmosphere Institute), ABB, SASOL, Unilever, and several public and private hospitals.
The international visibility of CMAFcIO can be seen in several other aspects that result from the active research of its members: i) journal Editorial Boards, ii) membership and leadership in international research groups and scientific organizations, iii) chairing and organization of international conferences and schools, iv) collaborations with many researchers from abroad.