Stephan Tillmann

Stephan Tillmann is a Professor of Geometric Topology at the University of Sydney, where he leads research in low-dimensional manifolds, geometric and algebraic topology, and computational methods. His work spans hyperbolic geometry, tropical geometry, and group theory, with applications to 3-manifolds and algorithmic topology.

• Education: PhD (University of Melbourne, 2002), BSc (First Class Honours, University of Melbourne, 1997)

His research focuses on understanding the interplay between triangulations, geometric structures, and surfaces in 3-manifolds. Recent work includes algorithmic classifications of manifolds and geometric invariants like the Thurston norm. A key theme is the application of tropical and projective geometry to topological problems.

The 15 most recent articles (2021–2025) address computational topology, character varieties, and invariants of 3-manifolds. Keywords include Geometric Topology, Hyperbolic Geometry, Normal Surface Theory, and Algorithmic Methods.

• Scientific Awards: Bessel Research Award (2021), Teaching and Learning Award (2015), B.H. Neumann Prize (2001)

He supervises PhD students William HOBKIRK and James MORGAN, contributes to grants (e.g., ARC Discovery and Future Fellowships), and organizes major conferences like the Geometry and topology in low dimensions workshop. As Executive Director of the Sydney Mathematical Research Institute (2022–2025), he advances mathematical research infrastructure.