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”.
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”.
“There is always room for a new theory in mathematics”: Maryna Viazovska and her mathematics
In August 2022 I gave a talk about recent Fields medallist Prof Maryna Viazovska and some of her mathematical work. This was a Monash LunchMaths seminar.
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.
May 12 talk on Maryam Mirzakhani
On May 12, 2022, I gave a talk at Monash for undergraduate students on some of the mathematics of Maryam Mirzakhani.
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”
General tips for studying mathematics
I don’t know that I would have anything to say that’s not a platitude, but here are some thoughts.