Skip to main content

Maths

Our Maths Department offers a range of activities for schools, from Taster days to a series of talks from academics to encourage students to explore and enjoy mathematics.

All our activities are available to schools subject to capacity.

Taster days

During our taster days students can experience a day of mathematics at Royal Holloway University of London. We offer talks, workshops, and a campus tour.  There is the opportunity to talk to current students and staff. For more information see here.

Science for Schools lectures

We offer school-friendly public lectures presented by speakers from across our Science Departments at Royal Holloway.

Key Stage 5 students will hear our scientists and mathematicians discuss some of the hot topics in their subject. There’s the chance to ask questions afterwards and chat one-to-one with academics. For details see here

Reading 

You might be wondering if there is anything useful you could be reading to prepare you for university mathematics. Here are some books that we recommend reading that are both interesting and useful.  

Talks for schools

Our academics regularly volunteer to visit schools and give talks on all areas of maths. Here’s a list of prepared talks that we can offer. The talks are free and can be adjusted to fit most audiences.

Email Professor Stefanie Gerke to find out more

 

 

This talk aims to provide sixth-formers (and their teachers) with an up-to-date picture of Mathematics at University today.

Discover the way it relates to, and differs from, the subject at A-Level, the wide range of topics available (from abstract algebra to theoretical physics, from the mathematics of decision making to cryptography), the way to distinguish between mathematics degree courses at different universities, and the careers taken up by mathematics graduates.

At least since Galileo Galilei, the laws of nature have been formulated in mathematical language. The mathematical physicist E.P. Wigner once gave a talk on this subject, under the title  "The Unreasonable Effectiveness of Mathematics in the Natural Sciences", in which he elaborates on "why the success of mathematics in its role in physics appears so baffling". In this talk I shall explain Wigner's ideas in examples, from very simple ones to some of the more "baffling" ones. Among the latter is P.A.M. Dirac's prediction of anti-matter, solely based on the mathematical consistency of the (Dirac-) equation that he had developed in 1928.

 

 

 

In nature, the notion of symmetry is often associated with harmony of forms and beauty, and its concept is widely applied in the design of objects of all shapes and sizes, such as in arts, architecture and even music.

Most animals present some form of bilateral symmetry. Symmetry's natural habitat is however in Mathematics. The concept can be described mathematically and the ubiquity of symmetric forms in nature is a great motivation for the study of the mathematics behind symmetry.

We discuss the geometric and mathematical concept of symmetry in various forms, such as reflectional, rotational and translational symmetry. We also consider wallpaper and crystallographic symmetry. Finally, we look for examples found in both organic and inorganic nature that illustrate the beauty of symmetry.

Prime numbers are amongst the most fascinating objects in mathematics. In this talk, we want to discuss some of their basic properties such as the fact that there are infinitely more of them. We will discuss why it is important in mathematics to prove such facts rather than making a limited number of observations.

 

If time permits we also want to discuss an interesting special class of prime numbers - Mersenne primes. These are closely connected to so called perfect numbers, which are subject to many interesting unresolved conjectures themselves.

How does fake news spread? How can one model the spread of rumours and diseases? In this talk we address these questions which will lead us to the theory of percolation. We will start by proving simple properties and will end up with open problems in the field.

How big is the universe? Is it finite or infinite? Does it have a boundary? These and other questions lead us to an area of mathematics called Topology. We will explore these topics, first in dimension 2, and will then see how to extend this to higher dimensions.

Explore Royal Holloway

Get help paying for your studies at Royal Holloway through a range of scholarships and bursaries.

There are lots of exciting ways to get involved at Royal Holloway. Discover new interests and enjoy existing ones

Heading to university is exciting. Finding the right place to live will get you off to a good start

Whether you need support with your health or practical advice on budgeting or finding part-time work, we can help

Discover more about our 21 departments and schools

Find out why Royal Holloway is in the top 25% of UK universities for research rated ‘world-leading’ or ‘internationally excellent’

They say the two most important days of your life are the day you were born, and the day you find out why

Discover world-class research at Royal Holloway

Discover more about who we are today, and our vision for the future

Royal Holloway began as two pioneering colleges for the education of women in the 19th century, and their spirit lives on today

We’ve played a role in thousands of careers, some of them particularly remarkable

Find about our decision-making processes and the people who lead and manage Royal Holloway today