On 15 June 2020 I gave a talk in the topology seminar at the University of Melbourne, entitled “A-polynomials, Ptolemy varieties, and Dehn filling.”

## Monash topology talk on Circle packings, Lagrangian Grassmannians, and Scattering Diagrams, April 2020

On 1 April 2020 I gave a talk in the Monash topology seminar, entitled “Circle packings, Lagrangian Grassmannians, and scattering diagrams”.

## AustMS 2019 talk on geometry and physics of circle packings

On 4 December 2019 I gave a talk in the Topology session of the 2019 Australian Mathematical Society meeting, entitled “Geometry and physics of circle packings”.

## The sensitivity conjecture, induced subgraphs of cubes, and Clifford algebras

We give another version of Huang’s proof that an induced subgraph of the n-dimensional cube graph containing over half the vertices has maximal degree at least , which implies the Sensitivity Conjecture. This argument uses Clifford algebras of positive definite signature in a natural way. We also prove a weighted version of the result.

## Talk in Monash discrete mathematics seminar, September 2019

On 16 September 2019 I gave a talk in the Monash discrete mathematics seminar. The talk was entitled “The sensitivity conjecture, induced subgraphs of cubes, and Clifford algebras”.

## Monash topology talk on sensitivity conjecture and Clifford algebras, July 2019

On 31 July 2019 I gave a talk at Monash University in the topology seminar, entitled “The sensitivity conjecture, induced subgraphs of cubes, and Clifford algebras”.

## Uniqueness of contact structures and tomography

In the previous episode, we asked: if you have a family of foliations on a surface, do they arise as the movie of characteristic foliations of a contact structure? In this episode, we ask how unique these contact structures are.

## Convex surfaces and tomography

We’ve seen that convex surfaces have wonderful foliations. We’re now going to consider the relationship between these foliations on surfaces, and contact structures

## Liouville structures and convex surfaces

Starting from a Liouville 1-form on a surface, we have been led to 3-dimensional contact geometry, and convex surfaces. We now go in the other direction.

## From Liouville geometry to contact geometry

(Technical) We’re going to take Liouville structures and move them into 3 dimensions, to obtain contact structures.