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My research focuses on low-dimensional manifolds and the natural algebraic and geometric structures associated to them. I am particularly interested in contact 3-manifolds, Legendrian and topological knot theory, and invariants inspired by Floer theory. Most of my recent work involves open book decompositions of 3-manifolds.
My papers on the arXiv
You can find a video of a talk about Morse structures and front projections here. Thanks to POSTECH for the link.
Collaborators
Collaborators
Akram Alishahi, Ken Baker, Jack Brand, Ben Burton, Zsuzsanna Dancso, Nathan Dunfield, Sebastian Durst, Viktória Földvári, Dave Gay, Alex He, Kristen Hendricks, Umberto Hryniewicz, Mark Kegel, Adele Jackson, Dan Mathews, Neil Hoffman, Ina Petkova, Josh Sabloff, Pedro Salomao, Vera Vértesi
Descendants
Descendants
Jack Brand (ANU PhD 2023)
Events and seminars:
Events and seminars:
Australian Geometric Topology Webinar, Wednesdays at noon, fortnightly
MATRIX workshop on Low Dimensional Topology , June 2024 (without hyphen)
MATRIX-MFO tandem workshop on Low-Dimensional Topology, September 2024 (with hyphen)
WIMSIG Conference, October 2024
Google Sites
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