معرفی
Michelle Bucher is a Senior Lecturer (Maître d'Enseignement et de Recherche) at the University of Geneva, within the Section of Mathematics of the Faculty of Science. She has been based in Geneva since 2011, initially serving as an SNSF professor before transitioning to her current role.
Education:
- Ph.D. in Mathematics from ETH Zurich, with thesis titled "Characteristic classes and bounded cohomology" under advisor Marc Burger.
- Diploma in Mathematics from University of Geneva, with thesis titled "Croissance de groupes et produits libres avec amalgamation" under advisor Pierre de la Harpe.
Research Interests:
Her research lies at the intersection of geometry and topology, with a particular emphasis on non-positively curved manifolds. She explores simplicial volume, bounded cohomology, characteristic classes, and volume rigidity. Her work often involves deep connections between geometric structures and algebraic invariants, including applications to hyperbolic geometry, Coxeter groups, and 3-manifolds.
Publications and Research Trends:
Her recent publications focus on advanced topics such as Furstenberg boundaries, measurable cohomology, and integrality of volumes in complex hyperbolic settings. There is a clear trend toward understanding geometric invariants through the lens of bounded cohomology and representation theory, particularly in the context of discrete groups and symmetric spaces.
Teaching and Supervision:
She teaches a wide range of courses, from basic algebra and geometry to advanced topics such as Coxeter groups, hyperbolic geometry, and p-adic numbers. Her current Ph.D. student is Sofia Amontova, and she has previously supervised Caterina Campagnolo and Hester Pieters. She has also mentored postdocs including Alessio Savini, Christoforos Neofytidis, and Alexey Talambutsa.
Research Group:
She leads the Algebra and Geometry research group, which includes doctoral students and postdoctoral researchers working on cutting-edge problems in geometry, topology, and group theory.
