Projects

The  emergence  of  chaotic  systems  and  the  erratic  behavior  that  they  enclose  triggered  a  new  approach  in  their  analysis,  more concerned  with  their  statistical  properties.  In  order  to  learn  about  the  long-­term  behavior  of  these  systems  through  a  probabilistic perspective,  one  can  just  consider  dynamically  defined  stochastic  processes  arising  from  these  systems  by  simply  evaluating  an observable  function  along  the  time  evolution  of  the  orbits  of  the  system.  These  processes  will  be  our  starting  point.  

Coordinator:
José Ferreira Alves
Duration:
36months
Funding entity:
FCT
Financial support:
151 855EUR

Algebraic Geometry is an old subject in mathematics and, at the same time, a vibrant area of current research with close connections to other areas. Its main objects of study are algebraic varieties which means, roughly speaking, zero sets of of polynomials. For example, an algebraic curve is a 1-dimensional algebraic variety, and an algebraic surface is a 2-dimensional algebraic variety.

Coordinator:
Peter Gothen
Duration:
36months
Funding entity:
FCT
Financial support:
130 833EUR

In general terms the goal of this project is to study statistical properties of dynamical systems, both deterministic and stochastic (perturbed), with special emphasis on laws of rare events. The starting point of the analysis is a stochastic process. The dynamical system may appear in different ways. It can describe the time evolution simply by moving the process from one state to the succeeding one, acting, in this way, on the space of all realisations of the process.

Coordinator:
Ana Cristina Moreira Freitas
Duration:
36months
Funding entity:
FCT
Financial support:
48 120EUR

Pretende-se obter novos resultados para fragmentos da lógica de predicados de primeira ordem, cujos modelos são palavras finitas e inifinitas. O projeto visa questões fundamentais motivadas por considerações práticas para a validação de software e circuitos. Desde o trabalho pioneiro de Büchi, Elgot e Trakthenbrot, as ligações entrem os mecanismos de descrição lógica e a teoria de autómatos é a principal ferramenta para a solução de tais problemas. Trabalho preliminar importante é devido ao responsável português, que foi o primeiro a considerar o problema da separação.

Coordinator:
Jorge Almeida
Duration:
24months
Funding entity:
Financial support:
2 000EUR

Smart Cyberphysical, Mathematical, Computational and Power Engineering Research for Disruptive Innovation in Production, Mobility, Health, and Ocean Systems and Technologies.

Coordinator:
Fernando Manuel Ferreira Lobo Pereira
Duration:
36months
Funding entity:
Comissão de Coordenação e Desenvolvimento Regional do Norte
Financial support:
1 501 368EUR

This is a research plan for a collaborative work involving colleagues from Brazil, France and Portugal. Namely, the members of this project are the following:

- Brazil: H. Movasati (IMPA) and Y. Nikdelan (UERJ).

- France: J. Rebelo (IMT) and D. de la Rosa (IMT - graduate student).

- Portugal: H. Reis (UP).

Coordinator:
Julio Rebelo
Duration:
24months
Funding entity:
CIMI - Centre International de Mathématiques et d’Informatique de Toulouse
Financial support:
13 500EUR

Exchange project with Instituto de Ciências Matemáticas e Computação, USP, under the CAPES/FCT (Brazil/Portugal) agreement. The list below only includes participants from Portugal.

Applications of singularity theory techniques to problems in dynamical systems, to the study of bifurcation with symmetry and to the geometry of low-dimensional manifolds. The problems to be treated correspond to the following topics:

Coordinator:
Isabel Salgado Labouriau
Coordinator:
Miriam Garcia Manoel
Duration:
24months
Funding entity:
Financial support:
9 000EUR
Duration:
24months
Funding entity:
CRUP
Financial support:
4 000EUR

The aim of this project is to study, implement and deploy an extension of the algebraic formulation for the tau method for the numerical solution of partial differential problems set on domains in $\mathbb{R}^{n}$, $n>2$. This extension is based on an appropriate choice of a basis for the space of polynomials in $\mathbb{R}^{n}$ and on the construction of the algebraic equivalent representation of the problem. An important feature of the required implementation is related to the solution procedure for the necessarily large dimensional linear systems involved.

Coordinator:
Paulo Vasconcelos
Duration:
24months
Funding entity:
Financial support:
4 000EUR

Aims of the project:
(1) To validate an optimized algorithm for interpreting angiogenic factors to predict pregnancy complications and provide evidence of its general applicability;
(2) To provide evidence to translate the use of these markers into clinical practice by following up on a subsequent randomized trial by providing knowledge of the test results to clinicians, aiming at reducing the rate of premature births among women with normal sFlt1/PlGF ratios and more appropriately using resources.

Duration:
36months
Funding entity:
Financial support:
0EUR

Our aim in this project is to develop mobile math trails in Europe (MoMaTrE) which provides materials and methodology on one hand for teachers to create outdoor math activities easily for their classes and on the other hand for lecturers to create courses for teacher student to teach them how to enrich their future classes with mobile math activities.
Derivatives from the project are:

Coordinator:
Johann Wolfgang Goethe-Universitat Frankfurt am Main
Duration:
36months
Funding entity:
Erasmus+ (UE)
Financial support: