Evaluation report ::.
Global Classification:
Very Good (in the last evaluation of 2002)
Evaluation Panel:
Jean-Pierre Bourguignon, David Cox, Roland Glowinski, Gérard Huet, Thomas Laffey, Jalal Shatah, Carles Simó, Vera T. Sós, Joel Spencer, Tamas Terlaky, Irene Fonseca (Coordinator).
Panel Report:
This Center has 24 members with PhDs and 16 trainees. It is subdivided into six research groups:

1. Algebra and Geometry
2. Complex and Hypercomplex (Analysis)
3. Functional Analysis
4. History of Mathematics
5. Probability and Statistics
6. Mathematical Systems Theory

In Geometry the major focus of activity has been the development of a teaching/computer learning package called GEOMETRIX. The development of this package and the theoretical questions raised along the way have steered the choice of research areas.
The study of finite geometries has been recently added to the program. The group is encouraged to look into possible applications of finite geometries in coding theory and in the design of experiments. In Algebra the principal interests are Combinatorial and Differential Geometry, Linear Algebra, Computer Algebra, Algebraic Logic and Category Theory.

In the Complex and Hypercomplex Group the principal focus of research is Clifford Analysis and its applications to partial differential equations, geometry, and numerical analysis. Other topics being studied include wavelets, orthogonal polynomials, rational Hermite and Pade approximants. The group is involved in the INSTAS program linking EU institutes to those in the former Soviet Union. While Clifford Analysis is perhaps not one of the more central themes in contemporary mathematics, the work of the Center in this area is serious and worthwhile.

In the Functional Analysis Group several topics are being investigated, involving function spaces and convector- reaction and convector-reaction-diffusion processes.

The History of Mathematics Group, the outreach leg of the Center, has been formed recently and its aim is to help popularize Mathematics in Portugal. Issues being investigated include “the history of Clifford analysis’�?, “how mathematical knowledge came to Portugal from outside�? and “female students of Mathematics in Iberia 1860-1911�?.

The number of topics being studied in the Probability and Statistics group is unrealistically large and the research targets need to be tightly focus. An interest in genome analysis would be fine if these researchers were in touch with genetics teams with new ideas and problems, otherwise there is a serious risk of simply duplicating the already massive international effort in this theme. The fact that there was a visiting lecture on S-plus is a clear indication that the team is well aware of the state-of-the-art.

In the Mathematical Systems group the principal areas being investigated are behavioral systems, convolution codes, adaptive control, control of drug administration, and there are several joint projects with medical centers.

The Center is seriously engaged in the training of young researchers, and there has been considerable activity in the (co-)organization of meetings and conferences. In the near future the panel discourages the hosting of large international conferences, as the cost in time to pursue research can outweigh the benefits thus accruing to the Center.

The Center has good contacts with industry, and this is to be lauded. Interdisciplinary projects include telecommunications (statistics), meterology (hypercomplex analysis), and health sciences (statistics, systems and control). The Center has strong links with other research units in the country, and there is significant interaction and cooperation with research institutions abroad.

The Center has a solid publication record with papers listed in very good international refereed journals, and there is an impressive list of articles in conference proceedings and chapters in books. Although the average productivity has increased considerably, there are still several members who have published no papers in international refereed journals during the last three years. This situation should be immediately corrected, as it brings discredit to the Unit.

Overall, this is a very active center although these researchers may be dispersing their efforts too widely. In addition, some of the research undertaken comes across as not being directed towards key, hot problems in their respective areas. In view of these remarks, the panel recommends that more advice should be sought out from experts, possibly through a strengthening or reconstitution of the advisory board.

The presentation that this Center offered during the site-visit of the panel was probably one of the better crafted and articulated, and it certainly could serve as benchmarking for future evaluations.
desenvolvido por: Mentes Virtuais www.mentesvirtuais.com