Mathematicians can be fascinated by the elegance and beauty of the ideas behind mathematical theories. Mathematical structures are already out there and our goal is to discover them.
Alexander Grothendieck (1928—2014) is viewed by many as one of the greatest mathematicians of all time. He made contributions to many different fields, but the work he is mainly celebrated for is his shaping of some of the most abstract, fundamental branches of mathematics.
Probability Theory is one of the most important tools for studying networks. Most things Probability Theory tries to explain are about average or typical observations.
Interacting particle systems Statistical physics aims at describing collective behaviour in systems consisting of a very large number of interacting particles (= atoms or molecules). This is a daunting task: a glass of water or a piece of iron can easily contain 100.000.000.000.000.000.000.000 particles. Still, the hope is that the macroscopic properties of these particles […]