We are pleased to announce the results of the third round of the international CEUS-UNISONO call for bilateral or trilateral research projects to be carried out by research teams from Austria, the Czech Republic, Slovenia and Poland under the multilateral CEUS programme pursuant to the Lead Agency Procedure (“LAP”). Dr hab. Michał Wojciechowski from the Institute of Mathematics of the Polish Academy of Sciences is the second person recommended for funding as a result of merit-based evaluation of the Austrian agency Fonds zur Förderung der wissenschaftlichen Forschung. Entitled Non-reflexive Function Spaces: Fourier vs Martingale Approach, his project will receive more than 900 thousand PLN in funding.
Martingales are one of the central tools of probability theory, developed as a theoretical foundation to underpin strategy analysis in game theory. Dr hab. Michał Wojciechowski and his team are planning to employ modern martingale theory to examine the properties of the Banach spaces of differentiable functions, which play a central role in mathematics. The project will be carried out in cooperation with Dr Paul Franz Xaver from the Johannes Kepler University in Linz.
One of the objectives of the project is to expand our knowledge of the structure of non-reflexive Banach spaces of differentiable functions and describe the singularity of their elements. To do so, the Polish-Austrian team will study the singularity of functions and their generalizations with the aid of modern martingale theory. In addition, the scientists will also examine their relationships with Banach space embeddings and trace operators, and use the similarities and differences between the theory of smooth function spaces and the theory of analytic functions.
The CEUS-UNISONO grant may go towards funding research team salaries, scholarships for students and PhD students, purchase or construction of research equipment and other project-related expenses. The call is targeted at Polish research teams planning to join up with one (in the case of bilateral projects) or two (in the case of trilateral projects) selected partner teams in order to submit a funding proposal for a basic research project. Projects may be planned for a period of 24 or 36 months and in the case of research projects to be carried out jointly with research teams from Austria, 48 months also.
All the ranking lists of the CEUS-UNISONO call can be found here.