Compositio Mathematica is thrilled to congratulate Luisa Fiorot (University of Padua), Teresa Monteiro Fernandes (University of Lisbon), and Claude Sabbah (CNRS and École Polytechnique) on receiving a prestigious 2025 Frontiers of Science Award for their paper, “Relative regular Riemann-Hilbert correspondence. II.” published in our journal.

The award, presented by the International Congress of Basic Science (ICBS), honours fundamental research that represents a significant advance in its field.

In their award-winning work, the authors make a major contribution to algebraic geometry. They develop the theory of relative regular holonomic D-modules with a smooth complex manifold of arbitrary dimension as the parameter space. The paper establishes a general relative Riemann-Hilbert correspondence, a fundamental result that connects complex-analytic objects (systems of differential equations) to topological ones (constructible sheaves). This work significantly generalizes a previous result that was limited to a one-dimensional parameter space.

We are proud to have published this exceptional research. Our warmest congratulations to the authors on this well-deserved honor.

The paper ‘“Relative regular Riemann–Hilbert correspondence II” ‘ by Luisa Fiorot, Teresa Monteiro Fernandes and Claude Sabbah appears in Compositio Mathematica and is available open access.