Hurwitz numbers count covers of Riemann surfaces with fixed ramification data. Such enumerative invariants and their generating series have interesting properties. In this project, we consider the interplay of embedded algebraic curves and Hurwitz numbers, by studying covers which arise via projections of certain embeddings. With a combination of algebro-geometric, tropical and algorithmic methods, we study new properties and determine new numbers.
DFG Programme
CRC/Transregios
