On 8 November 2022 I gave a zoom talk in the Oklahoma State topology seminar (although it was the 9th in Oklahoma). It was entitled “Symplectic structures in hyperbolic 3-manifold triangulations”.
Talk at Australian Conference on Science and Mathematics Education, September 2022
On 29 September 2022, my Monash colleague Karen Hogeboom and I presented a poster and gave a talk at the 28th Australian Conference on Science and Mathematics Education (ACSME). The ACSME conference is an annual conference for tertiary science educators
Tsinghua topology seminar: A symplectic approach to 3-manifold triangulations and hyperbolic structures
On 20 September 2022 I gave a zoom talk in the Topology seminar at Tsinghua University, Beijing, entitled “A symplectic approach to 3-manifold triangulations and hyperbolic structures”.
Monash topology talk on Symplectic approach to 3-manifold Triangulations, September 2022
On 14 September 2022 I gave a talk (in person!) in the Monash Topology seminar, entitled “A symplectic approach to 3-manifold triangulations and hyperbolic structures”.
A symplectic basis for 3-manifold triangulations
In the 1980s, Neumann and Zagier introduced a symplectic vector space associated to an ideal triangulation of a cusped 3-manifold, such as a knot complement. We give a geometric interpretation for this symplectic structure in terms of the topology of the 3-manifold, via intersections of certain curves on a Heegaard surface. We also give an algorithm to construct curves forming a symplectic basis.
Talk at Knots in Washington 49.75
On 22 April 2022 I gave a (virtual) talk at the 49.75th (!) Knots in Washington conference.
A Symplectic Basis for 3-manifold Triangulations, AustMS 2021
On 8 December 2021 I gave a (virtual) talk in the Topology session of the 2021 meeting of the Australian Mathematical Society.
Five-minute surrealist antiwar exposition of topological data analysis
On Remembrance Day 2021 (11 November) I have a talk at a session of Lightning Talks at a session on “Mathematics for Data Analysis, AI & Machine Learning” organised by the Monash Data Futures Institute. This was a “Lightning Talk”
Summarise your maths research in one slide, Dan
As part of an upcoming workshop participants were asked to introduce themselves with a one-page slide. I took it as an extreme form of concision: summarise your maths research in one slide, Dan.
Ptolemy vs Thurston in Hyperbolic Geometry and Topology, AustMS 2020
On 9 December 2020 I gave a (virtual) talk in the Topology session of the 2020 meeting of the Australian Mathematical Society.