Scientist in charge: José Ignacio Burgos Gil
Experienced Researcher: Alberto Navarro
Project Reference: 897784
Start Date: 2021-01-01
End Date: 2022-12-31
The Riemann–Roch theorem has played a definitive role in complex analysis and algebraic geometry for more than 150 years. It was first proved by Riemann as Riemann’s theorem in 1857 and modified shortly thereafter by Riemann’s student Gustav Roch, with specific application to Riemann surfaces, one of the most important concepts in higher level mathematics. Since then, it has been generalised, and its applicability has increased even further. The EU-funded RRMAP project is exploring mathematical techniques based on discrete and integral versions of Riemann–Roch as well as other related theorems and their application to the solution of arithmetic problems.
This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 897784.