ProfessorStephan Tillmann

(he/him/his)

Professor of Geometric Topology

Faculty 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

  • GRANT
    Trisections, triangulations and the complexity of manifolds
    Australian Research Council (ARC)1 Jul 2019 - 31 Dec 2025
    People funded by this grant:
  • GRANT
    To support the establishment of SUMRI (Syd Uni Math Research Institute)
    DVC Research1 Jan 2019
    People funded by this grant:
    • Tillmann S
  • GRANT
    Interactions between geometric and topological structures
    Australian Research Council (ARC)1 Jan 2018 - 31 Dec 2023
    People funded by this grant:
    • Tillmann S
  • GRANT
    Invariants, geometric and discrete structures on manifolds
    Australian Research Council (ARC)1 Jan 2016 - 14 Jun 2019
    People funded by this grant:
    • Rubinstein HJ,
    • Tillmann S,
    • Hodgson C
  • GRANT
    Moduli spaces of geometric structures
    Australian Research Council (ARC)4 Jun 2014 - 30 Aug 2017
    People funded by this grant:
    • Tillmann S
  • GRANT
    Triangulations in dimensions 3 and 4: discrete and geometric structures
    Australian Research Council (ARC)1 Jan 2013 - 31 Mar 2017
    People funded by this grant:
    • Rubinstein HJ,
    • Hodgson C,
    • Tillmann S
  • GRANT
    Generic complexity in computational topology: breaking through the bottlenecks
    Australian Research Council (ARC)1 Jan 2011 - 31 Dec 2014
    People funded by this grant:
    • Tillmann S,
    • Elder M,
    • Burton BA
  • GRANT
    Triangulations in dimension three: algorithms and geometric structures
    Australian Research Council (ARC)1 Jan 2010 - 31 Dec 2013
    People funded by this grant:
    • Tillmann S,
    • Rubinstein HJ,
    • Hodgson C