Marie Trin

Marie Trin is a postdoctoral researcher at the Max Planck Institute for Mathematics in the Sciences (Leipzig) working in Prof. Anna Wienhard's research group since completing her PhD in June 2024. She maintains dual academic engagement through ongoing teaching appointments at Université de Rennes.

Her research focuses on the intersection of geometric structures with topological dynamics, particularly examining:

• Geodesic currents and their applications to surface geometry
• Mapping class group actions on curve complexes
• Thurston compactification for non-compact hyperbolic surfaces
• Combinatorial properties of arc systems on surfaces

Recent publications demonstrate methodological innovation in applying geometric group theory to solve longstanding problems in surface topology, with particular emphasis on counting techniques for geometric structures and stability properties of subgroup embeddings. Her 2024 thesis “Application des courants géodésiques à la géométrie des surfaces” established foundational connections between geodesic current theory and classical surface geometry.

As an educator, she implements Federico Ardila’s teaching axioms through mathematics outreach projects and structured coursework in Euclidean geometry, probability, and computational mathematics using Python/Xcas. Her doctoral training at Université de Rennes under Juan Souto culminated in significant contributions to the geometric analysis of surface curves.

She actively participates in research networks including the “Groups, Dynamics and Surfaces” conference series and maintains collaborative projects across European mathematical institutes through the Max Planck research framework.