The activity in mathematical analysis is mainly focussed on ordinary and partial differential equations, on dynamical systems, on the calculus of variations, and on control theory. Connections of these topics with differential geometry are also developed.The activity in mathematical modelling is oriented to subjects for which the main technical tools come from mathematical analysis. The present themes are multiscale analysis, mechanics of materials, micromagnetics, modelling of biological systems, and problems related to control theory.The applications of mathematics developed in this course are related to the numerical analysis of partial differential equations and of control problems. This activity is organized in collaboration with MathLab for the study of problems coming from the real world, from industrial applications, and from complex systems.

## Mathematical Colloquia 2018-2019

Date | Speaker | Seminar |

October 3, 2018 | Jean-Pierre Demailly | Analytic and arithmetic solutions of algebraic equations |

January 29, 2019 | Patrick Gerard | Complex Cauchy matrices, inverse spectral problems and colourful invariant tori |

February 13, 2019 | Massimo Marinacci | Functional Analysis and Theoretical Economics |

June 7, 2019 | Eitan Tadmor | Emergent behavior in collective dynamics |