The ECSING research group works on basic research in

mathematics, in all its facets, with ramifications to

applied development and emphasis on the training of researchers.

The objectives are a continuation of the basic objectives that our team has been pursuing for more than fifteen years, supported by different national and European contracts. The reasons are essentially the same from the beginning, but we will point out an evolution towards moderate geometry, due to the results of J.M. Lion and the school of logicians, a reinforcement of the role of valuation theory, in relation also to the real case of Hardy's bodies, a new line of dynamic systems topology that promises more results, the arrival of J. Ribón in the study of discrete dynamic systems, on what is currently our only specialist, as well as a return to classic topics such as the polar, with the new dynamic systems perspective. The influence of Ramis and Malgrange is also relaunching the differential Galois Theorism, with a non-linear version in which we want to enter and for which we have Aroca, Mozo and J. Cano. The algorithms obtained by F. Aroca and J. Cano also bring us closer to the applied results.