Tag: maths

A brief history of threedimensional manifolds
First published November 24, 2022
We give a broadbrush account of some milestones in the theory of 3dimensional manifolds, particularly the Poincaré Conjecture and its proof. We also discuss Thurston’s Geometrisation Programme.

Measuring angles within arbitrary metric spaces
First published October 02, 2020
We will generalise the concept of angles in Euclidean space to any arbitrary metric space, via Alexandrov (upper) angles.

Hilbert's hotel, but the guests are mere mortals
First published July 26, 2020
We will consider a variation of Hilbert’s hotel, within which guests may not be relocated too far from their current room.

An upper bound on Ramsey numbers (revision season)
First published May 02, 2019
I will present a short argument on an upper bound for \( r(s) \), the Ramsey Number associated with the natural number \(s\).

Counting derangements
First published April 21, 2019
I present an inefficient yet novel way of recursively counting derangements of a set, and generalise this to counting permutations without short cycles.
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