ProfessorStephan Tillmann
(he/him/his)
Professor of Geometric Topology
Faculty of Science
- Professor of Geometric TopologyFaculty of Science
RESEARCH INTERESTs
Stephan Tillmann is a member of the Geometry, Topology and Analysis Research Group. Stephan's main research interests are geometry and topology with a focus on low-dimensional manifolds. He uses techniques from algebraic geometry, hyperbolic and projective geometry, geometric group theory, representations of finitely generated groups, differential geometry as well as tropical geometry. A principal aim of his current research is to understand the relationship between triangulations of, geometric structures on, and surfaces in 3-manifolds with view towards new topological results about 3-manifolds, practical algorithms, and applications to group theory.
Stephan's research aligns with the Faculty of Science Research Strengths - Understanding the Universe, Fundamental Laws of Nature, Complex Systems, Cultivating Scientific Capability, Data and Decisions, National Security .
FUNDED RESEARCH
- GRANTTrisections, triangulations and the complexity of manifoldsAustralian Research Council (ARC)1 Jul 2019 - 31 Dec 2025People funded by this grant:
- Tillmann S,
- Spreer J,
- Rubinstein HJ
- GRANTTo support the establishment of SUMRI (Syd Uni Math Research Institute)DVC Research1 Jan 2019People funded by this grant:
- Tillmann S
- GRANTInteractions between geometric and topological structuresAustralian Research Council (ARC)1 Jan 2018 - 31 Dec 2023People funded by this grant:
- Tillmann S
- GRANTInvariants, geometric and discrete structures on manifoldsAustralian Research Council (ARC)1 Jan 2016 - 14 Jun 2019People funded by this grant:
- Rubinstein HJ,
- Tillmann S,
- Hodgson C
- GRANTModuli spaces of geometric structuresAustralian Research Council (ARC)4 Jun 2014 - 30 Aug 2017People funded by this grant:
- Tillmann S
- GRANTTriangulations in dimensions 3 and 4: discrete and geometric structuresAustralian Research Council (ARC)1 Jan 2013 - 31 Mar 2017People funded by this grant:
- Rubinstein HJ,
- Hodgson C,
- Tillmann S
- GRANTGeneric complexity in computational topology: breaking through the bottlenecksAustralian Research Council (ARC)1 Jan 2011 - 31 Dec 2014People funded by this grant:
- Tillmann S,
- Elder M,
- Burton BA
- GRANTTriangulations in dimension three: algorithms and geometric structuresAustralian Research Council (ARC)1 Jan 2010 - 31 Dec 2013People funded by this grant:
- Tillmann S,
- Rubinstein HJ,
- Hodgson C