Cooperation with other institutions

The cooperation with universities is extensive and diversified. Many members of the Institute take part in undergraduate and graduate teaching, in examination commissions, in seminars organized in common or separately. Moreover, at present 16 research grants with participation of the Institute together with some of the universities are in progress. The representation in scientific councils is mutual. The Institute cooperates with universities in the organization of conferences, summer schools, etc. There were 10 such conferences in 1998. Moreover, the Institute cooperates with universities on the formulation of projects of education in mathematics of pupils of elementary and secondary schools and in the preparation and organization of the competition Mathematical Olympiad. The systematic cooperation of the library of the Institute with libraries of several universities deserves to be mentioned, as well.

As an abstract discipline, mathematics finds its role in the domain of applications in most cases indirectly, in cooperation with some branch of science, technical science etc. The Institute cooperates in this field with several institutes of the Academy, several faculties of the Technical University in Prague and the Technical University in Brno, with the University of West Bohemia in Pilsen, with the Palacky University in Olomouc, with the Pedagogical Faculty of the Charles University, and also with Hydrosystem Group, a.s., in Olomouc, Masaryk Institute of Oncology in Brno and other institutions. The topics of cooperation are, e.g., transfer phenomena of convection or diffusion of pollutants, properties of thin layers of metals and isolants on semiconductor surfaces, metastatic activities of tumor cells, further analysis of striation fields on fracture surfaces, and fluid dynamics.

The Institute has a long lasting contract on cooperation with the Friedrich-Schiller-University of Jena (Germany) and very numerous scientific contacts with various institutions the most significant of which are mentioned in the information on groups. These contacts form a basis for joint applications for grants or fellowships, for invitations to lectures or to the position of a visiting professor or to short-term affiliations.

Necas center for mathematical modeling

This center is a joint project of Charles University in Prague, Academy of Sciences of the Czech Republic, and Czech Technical University in Prague. The general goal of the project is to establish a significant scientific team in the field of mathematical properties of models in continuum mechanics and thermodynamics, developed by an intensive collaboration of five important research teams at three Prague affiliations and their goal-directed collaboration with top experts from abroad.

The main goal is to establish the center which would be able to interact with similar teams or individuals working in applied areas home and abroad. The role of the center will be at least two-fold: first, it will act as a counseling center in questions which approach to a given problem should be taken, and second, as an acceptor of new stimulations to further development.

The center concentrates research fellows which are internationally respected experts in their research fields, which are closely connected to the scientific program of the center. The existing team however does not cover all the important topics. This fact is a consequence of a high degree of specialization, characteristic for the contemporary research. The aim of the concentration of individuals into the center team is to develop a powerful tool for filling such gaps in the Czech science. For this purpose, top experts will be invited to Prague to extend knowledge in many particular areas but also to initialize research of Czech scientists in these fields; this should be done by term-long lecture courses and by the everyday interaction with PhD. students, diploma students and members of the center.

DIMATIA - Center for Discrete Mathematics, Theoretical Computer Science and Applications

DIMATIA was established in September 1996 at Charles University in Prague as a joint project of Charles University, Academy of Sciences of the Czech Republic and University of Chemical Technology, Prague. The purpose of the center is to foster research in all fields of discrete mathematics and its modern applications and relationship to computer science, operations research and fields as diverse as biology, chemistry and social sciences. Towards this end the center organizes a continuing program of workshops, conferences and research visits both in Prague and other places together with cooperating institutions.

The activity of the center concentrates in the following directions:

• Research workshops and conferences (at this point, about 4 workshops and one large conference are planned per year). The workshops are focused on specific topics and are expected to involve 20 - 30 researchers. The conferences will cover more general issues and audience, expected number of participants is 40 - 60.
• Postdoctoral positions announced and supported jointly with our partner institutions.
• Short-term visits of senior researches.

Organizationally, the center is related to the Department of Applied Mathematics of Charles University in Prague.

ITI - Institute for Theoretical Computer Science

ITI was founded July 1, 2000 as a joint project of Charles University in Prague, Institute of Mathematics of AS CR in Prague, Institute of Computer Science AS CR in Prague, and University of West Bohemia in Pilsen. Masaryk University in Brno joined the project on January 1, 2006. The main aim of ITI is to promote research in theoretical computer science and related fields with emphasis on the work of young researchers. ITI will also provide temporary positions for postdocs and distinguished senior researchers.

Eduard Cech Research Center

This new Center exists since April 1st 2005. It has been organized by the Faculty of Natural Sciences of the Masaryk University in Brno, the Faculty of Mathematics and Physics of the Charles University in Prague, and the Institute of Mathematics of the Academy of Sciences of the Czech Republic. The project has been launched within the scheme „Centers of Excellence in Basic Research“, and the contracting authority is the Czech Ministry for Youth, Education and Sport. Its aim is to support the development of mathematics in the Czech Republic and to promote the exchange of ideas throughout the Czech and foreign universities and institutes. It should also provide a meeting place for leading experts in the areas of mathematics which combine geometrical and algebraic approaches. Eduard Cech has been chosen in the name of the Center because it was him who first combined geometrical and algebraic thinking in his work, and contributed amazingly to the evolution of all three institutions involved in the project.

At present the Center can offer six postdoc positions per year to young mathematicians. In order to create good research conditions, the Center invites specialists in the relevant research fields to short term visits. Its members are also often sent to international workshops and conferences. The Center organizes regular seminars and in the future intents to organize also specialized scientific meetings. The research of the Center covers the following areas: geometric structures and geometric analysis, algebraic topology, some topics in algebra, some topics in algebraic number theory, logic and proof complexity.