Warwick Macaulay2 Workshop
- A 5 day workshop on learning to code in Macaulay2 in a group setting.
- Overhauled and introduced new methods in the toricVectorBundles package.
Papers
Hopefully there will be something here...
Conferences and Workshops
British Early Career Mathematicians' Colloquium
- Presented a poster in the Cohomological Rigidity of Moment Angle Manifolds
Graduate Training Workshop for the Mathematical Sciences
- A workshop with a focus on learning how to communicating mathematics to different audiences
- Was awarded a fee waiver for the workshop
Expositions
Master's Dissertation: Excisive Functors
Excisive functors and homology theories have a close connection. I demonstrated their relation together with spectra and how the failure of the identity functor being excisive gives rise to the stable homotopy groups.
Third Year Essay: Algebraic Differential Forms
Differential forms on a smooth manifold is a powerful tool from the perspectives of algebra and geometry. We may mimic the construction over to varieties to obtain a similar theory. Interestingly, while the cohomology groups they give are isomorphic by a theorem of Grothendieck, the module of differential forms are not isomorphic even if we feed it the ring of smooth functions.
Others
I took a lot of notes during my undergraduate years, you can see them in my github.