New findings on secondary students’ negative views about setting – ‘Best Practice in Grouping Students’ research team, UCL

New findings on secondary students’ negative views about setting

“In her recent paper [accessible online hereProfessor Louise Archer, along with the ‘Best Practice in Grouping Students’ research team, has proposed that setting represents a process through which the social and cultural reproduction of inequality and dominant power relations are enacted within schools.”



Maximizing Color Difference in Metro Maps – by Simone F. Griffioen, Arthemy V. Kiselev

Painting New Lines: Maximizing Color Difference in Metro Maps

by Simone F. GriffioenArthemy V. Kiselev in

The Mathematical Intelligencer


Birch and Swinnerton-Dyer Conjecture


This is part of the 6 unsolved Millennium Problems. Following is a beautiful exposition of the statement and consequences of this conjecture:

Anybody with high-school level knowledge can benefit from this video.

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Maths Goes Into Space – Chris Budd, Gresham Lecture

Chris Budd: “Space science is one of HM Government’s ‘eight great technologies’. In this lecture I will explain the mathematics behind satellites, showing how they are controlled, how they are sent to distant planets and how they transmit and receive data over vast distances. 

I will also explain how GPS systems work and show how General Relativity plays a vital role in making GPS systems so accurate. I will finish by showing a link between space science and Origami.

The transcript and downloadable versions of the lecture are available from the Gresham College website: Maths Goes Into Space – Professor Chris Budd OBE


How Maths Can Save Your Life – Professor Chris Budd OBE

Gresham Lecture: How Maths Can Save Your Life – Professor Chris Budd OBE

Many of us have been in a medical scanner and benefited from its use in medical diagnostics. But how many of us have considered how it works? The maths behind modern medical imaging (showing how CAT, MRI and Ultrasound scanners work) will be explained, showing how mathematics done in 1915 is now saving countless numbers of lives. 

Recent advances in mathematics are leading to much better images for doctors to use for their diagnoses; and similar methods and ideas are used in diverse applications such as remote sensing, oil prospecting, crime detection, studying bees and saving the whales.



Energetic Mathematics – Professor Chris Budd

Gresham Lecture: Energetic Mathematics – Professor Chris Budd

The annual consumption of electricity in the UK is 300 TWh, supplied over a complex network starting, usually, with power being generated at a power station. This is then transmitted over a high voltage network, before being reduced in voltage and distributed to commercial, industrial and residential consumers. Mathematics is vital in ensuring that the lights stay on as the planners of the grid need to solve non-linear differential-algebraic equations to work out how much electricity can be generated, distributed and stored. These challenges will increase in the future.



The Key to the Riemann Hypothesis – Professor Jon Keating on Numberphile