Pure & Applied Topology
The research area in Pure and Applied Topology covers includes algebraic topology, low-dimensional topology, the theory of knots and braids, homological algebra, contact geometry, and computational topology, as well as their applications in topological data analysis and mathematical physics.
About
The research area in Pure and Applied Topology covers includes algebraic topology, low-dimensional topology, the theory of knots and braids, homological algebra, contact geometry, and computational topology, as well as applications in topological data analysis and mathematical physics. We run a regular seminar and routinely host visiting and postdoctoral researchers.
Capabilities
- Vigleik Angeltveit: algebraic topology, stable homotopy theory, algebraic K-theory, Ramsey theory.
- Asilata Bapat: geometric and categorical representation theory, homological algebra, with connections to topology, combinatorics, and algebraic geometry.
- Joan Licata: low-dimensional topology and contact geometry, knot theory, Floer-theoretic invariants.
- Brett Parker: symplectic geometry, Gromov-Witten and related invariants using exploded manifolds.
- Katharine Turner: computational topology, topological data analysis.
Projects
Members
Researcher
Senior Lecturer
Honours Convener
Senior Lecturer
ARC DECRA Fellow
MSI-Google Fellow
Associate Professor
Postdoctoral Fellow
Senior Lecturer
MSI Colloquium Organiser
Associate Professor and Director, Mathematical Data Science Centre
Student
PhD
PhD