Get in Touch
Try emailing me, at
joseph.macmanus @ balliol.ox.ac.uk
Alternatively, find me on the following platforms.
We will generalise the concept of angles in Euclidean space to any arbitrary metric space, via Alexandrov (upper) angles.
We will consider a variation of Hilbert’s hotel, within which guests may not be relocated too far from their current room.
Here I will summarise my experiences in applying for the Oxford MFoCS, including some tips on how I made my application as competitive as possible.
I am making publically available a template of my own annual budget spreadsheet, which tracks one’s spending on a weekly basis.
In this post we will work towards an example of a finitely generated group that cannot be expressed by any finite presentation.