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**Online Talks**

# Online Talks

Below is a list of talks that we are currently able to offer online. Most of the talks are aimed at A-Level students and are offered free of charge. Talks are subject to the availability of presenters, please email schoolsliaison@maths.leeds.ac.uk to book.

#### Tides in extrasolar planets - by Dr Adrian Barker

Since the revolutionary first discovery of a planet that orbits a Sun-like star outside the solar system, astronomers have detected and partially characterised several thousand extrasolar planets. These planets have a diverse range of masses and radii, consisting of some that are as small as Earth, and some that are much bigger than Jupiter. Some planets orbit their stars very closely, much more closely than Mercury orbits our Sun. In this talk, I will introduce some of the remarkable observational discoveries of extrasolar planets over the past two decades, before describing how Mathematics can be used to understand some of their properties.

#### Chaos, sunspots and global warming - by Prof Steve Tobias

Our nearest star, the Sun, is an active star, with solar activity leading to powerful events like solar flares and ejections of hot plasma that can be shot in the direction of Earth. Solar activity waxes and wanes in an eleven year cycle and even switches off occasionally. In this talk I will explain the mathematics behind the solar cycle, what it has to do with chaos and the double pendulum and what effect solar variability may have on the climate.

#### Maths and Magic – by Dr Kevin Houston

It is possible to shuffle a pack of cards so that the cards from two halves are perfectly alternated. While this shuffle looks perfectly fair, it is almost as unfair as you can get. The shuffler can work out the destination of each card and, with a bit of thought, can deal winning hands of cards effortlessly. The possibilities in cheating and in card magic are immense! In this talk we will look at this “perfect” shuffle and the interesting mathematics behind it. (Involves audience participation.)

#### Win a Million Dollars with Mathematics – by Dr Kevin Houston

A million dollars is on offer for each of six mathematical problems. It used to be seven, but Grigori Perelman, solved one of them, the Poincare Conjecture. Surprisingly he has refused to take the million dollar prize!

In this talk I will look at the some of these problems, why they are important and their relevance to the real world. The problems cover subjects such as computers, fluids, and prime numbers. (Involves audience participation.)

#### The Maths that Makes the Modern World – by Dr Richard Elwes

From searching the internet to managing a manufacturing company, everyone knows that maths plays a central role in today’s hi-tech civilisation. But what sort of maths? In this talk we’ll meet a few familiar ideas from algebra and geometry which seem simple and elegant on first sight. But when massively scaled up and implemented on powerful computers, we’ll see how these techniques have truly changed the world.

#### Complex Fluids: the elegant workings of soft matter – by Dr Mike Evans

Why does jelly wobble? Why do rubber balls bounce? And how do opals form? The answers to all of these questions lie in combinatorics. Simply by counting the different ways to arrange their molecules, you can understand the behaviour of many complex materials.

#### The Light-Speed Barrier – by Dr Mike Evans

We discuss the ways in which Einstein’s special theory of relativity imposes a limit on the speed of motion, and just how much of a barrier it is.

#### Fibonacci and his rabbits – by Tom Roper, Past President of the Mathematical Association

The workshop begins by looking for number patterns in Pythagorean Triples and then moves onto the famous Fibonacci sequence. Group work is used throughout and there is some history to be encountered along the way. The workshop has been used successfully with year 8 pupils attending a master-class right through to sixth form students taking A-level mathematics. The level of mathematics is adjusted to the abilities and experience of the students. Pens, pencils and paper plus at one point some scissors is all the apparatus that is required.

#### Funny fluids and soft stuff: polymers, pizzas and Bird’s custard – by Dr Daniel Read

Many of the materials we encounter on a daily basis – gloopy substances such as shower gel, pizza cheese, tomato ketchup, plastics or paint – exhibit flow properties that seem halfway between that of a liquid and a solid. This talk (illustrated by a number of demonstrations) gives an introduction to the rich variety of flow phenomena that are possible, and to the mathematics that can be used to describe them.

#### Infinity and the Limits of Mathematics - by Dr Richard Elwes

Infinity has intrigued mathematicians and philosophers for centuries. But in the 19th century, Georg Cantor began the first rigorous analysis of how infinite collections of objects behave. His discoveries would change the subject forever, and one problem that he couldn’t solve would go on to shake the foundations of mathematics in the 20th century.

*Suitable for students in KS5*

#### Hidden Symmetries of Nature by Dr Tamás Görbe

Symmetry is all around us. Just think of the left-right symmetry of your body or the hexagons of a honeycomb. Buildings, paintings and music can also be symmetric. But symmetry isn’t just something that’s pretty. It’s a powerful tool that can be used to understand nature from planets to particles.

*Suitable for students in KS5. Up to 2 hours in duration. *

#### Maths has the best curves by Dr Tamás Görbe

What is the shape of a hammock? How do foxes catch rabbits? Why do seashells grow in spirals? In this session, we’ll answer similar questions and learn how to make the most beautiful curves maths can offer.

*Suitable for students in KS5. 40-50 minutes in duration.*

#### Can you solve it? by Dr Tamás Görbe

Is the North Pole the only place on Earth from which you can walk 1km due south, turn and walk 1km due east, turn again and walk 1km due north and find yourself back where you started? In this fun session, we’ll solve similar puzzles and explore how mathematicians think!

*Suitable for students in KS5. 40-50 minutes in duration.*

#### An Elementary Derivation of Kepler's Laws of Planetary Motion by Dr Tamás Görbe

Four centuries have passed since Kepler discovered the three laws of planetary motion that now bear his name. But how do the elliptical orbits follow from the inverse-square law? How did Newton prove that equal areas are swept out in equal time intervals? Is it really true that the square of a planet’s orbital period is proportional to the cube of its average distance from the Sun? In this interactive lecture, we aim at answering these questions by presenting an elementary derivation of Kepler’s laws.

*Suitable for students in KS5. 30-60 minutes in duration.*