Regular biography
Stephan Tillmann is a Professor at The University of Sydney, affiliated with the School of Mathematics and Statistics. His research focuses on geometry and topology, particularly low-dimensional manifolds, with an emphasis on triangulations, geometric structures, and surfaces in 3-manifolds. His work integrates techniques from algebraic geometry, hyperbolic and projective geometry, geometric group theory, and tropical geometry. He is also involved in the Sydney Mathematical Research Institute as its Executive Director. His teaching includes courses such as MATH1080, and further details about his research and teaching can be found on his personal web page.
Scholar-generated biography
Stephan Tillmann is a researcher at The University of Sydney, specializing in Geometry and Topology. His work focuses on the study of 3-manifolds, convex projective structures, and ideal triangulations. He investigates properties of normal surfaces, Thurston norm, and hyperbolic gluing equations. Tillmann's research also explores the relationship between geometric structures and topological invariants, including boundary slopes and character varieties. His contributions include significant findings on the non-Haken nature of the Weber-Seifert dodecahedral space and the existence of geodesic ideal triangulations. His work has advanced understanding of minimal triangulations and the deformation of convex projective manifolds.