Plane Hurwitz numbers (A13)

• Subject Area: Mathematics
• Term: since 2017
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 286237555

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
• Subproject of: TRR 195: Symbolic Tools in Mathematics and their Application
• Applicant Institution: Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau
• Project Heads: Professor Dr. Daniele Agostini, since 1/2025; Dr. Janko Böhm; Professorin Dr. Hannah Markwig