Enjoy the fourteenth group of essays from the 2024 TRM Essay Competition, now proudly held in partnership with the Oxford University Department for Continuing Education. The showcase will take place throughout June and July with the winners being announced in August.

If you enjoy reading any of the essays, be sure to leave a comment to let the author know!

This essay explores the deep mathematics that underpins Euler’s Identity – one of the most beautiful equations in all of maths.

This essay outlines the key ingredients of the million-dollar question: are problems that are easy to verify, also easy to solve?

This essay explains the importance of the concept of mathematical proof and how the work of Godel changed it forever.

This essay explores some of the key discoveries and applications of prime numbers.

This essay introduces the concepts of projective geometry and how they are used by artists to make their work more realistic.

This essay argues for the importance of clear mathematical notation and how it can lead to new discoveries.

This essay provides a mathematical foundation for the properties of modular arithmetic and explores how they are used in cryptography.

This essay uses a statistical approach to analyse the relationship between the cost of a cricket player and their performance on the field.

This essay outlines how the tools of probability are employed in sport to ensure fair play.

This essay provides an overview of some of the key ideas and techniques seen in chaos theory.

This essay uncovers the hidden mathematics in the music of Johann Sebastian Bach.

This essay introduces some of the key concepts found in Vedic mathematics.

This essay provides proofs of some of the most important properties of the Platonic Solids.

This essay discusses some of the most famous examples of ancient engineering and how they were influenced by mathematics.

This essay acts as a primer for the subject of non-Euclidean geometry and the exploration of hyperbolic and elliptic space.