Würzburg Mathematics Center for Collaboration and Interaction

About #Schools

The aim of the #Schools program is to offer 20 to 30 experts, invited by the WMCCI Director, the opportunity to present recent research results, especially new methods, and to initiate future research projects.

Mathematical research mainly aims at the study of the structure and inner correlations of mathematical objects and at the development of more comprehensive theories. Many mathematical questions are consequences of the effort to describe nature in mathematical terms, but it can also happen that the mathematical frame was created before the appearance of the applications. The process of research leads to mathematical theorems, whose proofs are typically complicated. The final write-up of a proof can best be done at the home institutes, but the development of a mathematical theory and, within such a theory, of a promising idea for a proof, is an extremely creative process depending very much on intuition and experience.

Naturally, coincidence also plays a big role. Improving the chances for progress by coincidence is one of the main purposes of the research at WMCCI. When getting to know the background of an important result during a talk, one can suddenly have a bright idea, perhaps leading to a considerable progress in one's own research activity. Within discussions in small groups, when presenting fresh thoughts, one sometimes can find the right direction for further work with the help of the comments of colleagues. Often it also happens that two or three colleagues, during discussions, become aware that they, though coming from different backgrounds and with different motivations, are interested in similar problems and decide to unify their potential in order to establish a common research project.