Mathematical Research at FSU
Mathematical Physics refers both to the applications of mathematical methods to problems in Theoretical Physics, and to what may be called "physically inspired Mathematics." The latter, more modern, point of view refers to the inverse process of the former, namely the study of mathematical problems in Algebra, Number Theory, Topology, and Algebraic Geometry that were motivated by Physics. Paolo Aluffi, in part in collaboration with Matilde Marcolli, studies the geometry of algebraic varieties determined by the so-called Feynman Diagrams arising in Quantum Field Theory. Aluffi also studies the geometry of fibrations arising from certain models of String Theory. Ettore Aldrovandi has worked on arithmetic intersection products on algebraic curves motivated by the conformal anomaly in Liouville field theory in String Theory.