An essay on Lagrangian tori.
An exposition of this paper, supervised by Dr Jonny Evans.
An introduction to G2 geometry via the Bryant-Salamon metrics.
A mainly expositional amalgamation of this paper and this paper. Supervised by Dr Jason Lotay and Prof Simon Salamon.
At some point I hope to write up something proper about the calibrated submanifolds that I found.
Kähler-Einstein manifolds.
My master's project, supervised by Dr Johannes Nordström.
Infinite staircases in symplectic embedding problems.
WiSCON conference, Brown University (July 2019).
Topology and singularities through the dimensions.
Journal Club, The Royal Institution (February 2019).
Singularities in del Pezzo surfaces.
Symplectic Cut seminar (November 2018).
Symplectic topology of some surface singularities.
Oxford Junior Geometry Seminar (March 2018),
Cambridge Geometry Tea Seminar (March 2018),
Imperial Junior Geometry Seminar (April 2018).
The hidden topology of singularities.
UCL Undergraduate Colloquium (February 2018).
Mysterious mirror symmetry.
UCL/KCL Junior Geometry Seminar (February 2018).
Vanishing cycles of singularities.
UCL Postgraduate Seminar (January 2018).
A new approach to the symplectic isotopy problem.
Symplectic Cut Seminar (October 2017).
The structure of ruled and rational symplectic 4-manifolds.
Kylerec Workshop, Truckee CA (May 2017).
Isotopies of Lagrangian surfaces in cotangent bundles.
Symplectic Cut Seminar (December 2016).
The Thom isomorphism and Poincaré duality.
Imperial Junior Geometry Seminar (October 2016).
A beginner's guide to Floer cohomology.
LSGNT Cohomology Reading Group (March 2016).
Calibrated geometry: the angle theorem.
University of Bath 'Topics in Pure Maths' (February 2015).
Some of the things that I spend time doing in order to learn more maths: