Mathematical research has two main interests or directions. The first and by far the oldest is in the fact that Mathematics are themselves an exciting fundamental scientific area. On the other hand, Mathematics supply powerful tools to interact with other scientific disciplines for the development of our human society. The development of Computer Science requires the systematic study of information systems. Storage and transmission of data in electronic form through insecure channels (such as the Internet) require to protect them. There are two types of protection : against alterations due to physical problems, and against malicious enemies. Coding Theory and ryptology are the two areas in Information Security dedicated to these problems. Research in Number Theory and Algebraic Geometry is crucial for Public Key Cryptology and Coding Theory.
Recall that research in mathematical methods in Information Security started recently in sub-Saharan Africa. Along the last ten years, a few teams started working on these topics particularly in Senegal. The Pole of Research in Mathematics and their Applications in Information Security (PRMAIS) was created in January 16th, 2012. This is a network of mathematicians from Gabon, Senegal, Cameroon, Madagascar, Ivory Coast, Burkina Faso and Chad, with the active support of researchers with stature in the international community. For instance we have developed connections with active researchers in Africa, France, Italy, England, Brazil, Netherlands, Canada, and Singapore. We obviously welcome support from and cooperation with other researchers and institutes.
Our main goals are:
- Fundamental mathematical research related to Number Theory and Algebraic Geometry, and research in Mathematics applied to Information Security (Cryptology and Coding Theory).
- Develop masters in our african universities by reinforcing maters’ options already there, and creating new masters’ options related to PRMAIS’ topics. Indeed, developping competitive research teams in Africa requires a rich mathematical education in african universities.
To achieve both goals, we plan to organize one international workshop in Africa twice a year, one each semester. These meetings will be crucial for the regular research cooperation between members of the pole, and for cooperations with researchers in international mathematical community. They will also provide opportunities to work with senior African researchers and institutes or organisms concerned by Mathematics in Africa.