mathematics

Keith Martin Ball

Keith Martin Ball is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Keith Martin Ball rather than just read about it. In short: Keith Martin Ball (born 26 December 1960) is a mathematician and professor at the University of Warwick. He was scientific director of the International Centre for Mathematical Sciences (ICMS) from 2010 to 2014.

Key takeaways

Keith Martin Ball belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Keith Martin Ball to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Keith Martin Ball from memory before moving on to harder problems.

Reference excerpt

Keith Martin Ball (born 26 December 1960) is a mathematician and professor at the University of Warwick. He was scientific director of the International Centre for Mathematical Sciences (ICMS) from 2010 to 2014.

Education Ball was educated at Berkhamsted School and Trinity College, Cambridge where he studied the Cambridge Mathematical Tripos and was awarded a Bachelor of Arts degree in mathematics in 1982 and a PhD in 1987 for research supervised by Béla Bollobás.

Research Keith Ball's research is in the fields of functional analysis, high-dimensional and discrete geometry and information theory. He is the author of Strange Curves, Counting Rabbits, & Other Mathematical Explorations.

Awards and honours Ball was elected a Fellow of the American Mathematical Society (AMS) in 2012 and a Fellow of the Royal Society (FRS) in 2013. His Royal Society citation reads

Keith Ball is an exceptionally original mathematician whose work has had a major influence on two branches of mathematics: functional analysis and information theory. He proved the first extension theorems for Lipschitz functions not reducible to one-point extensions and solved the reverse isoperimetric problem. He produced a sharp version of the Banach-Steinhaus Theorem conjectured in the 50s, and proved that infinitely many values of the Riemann function at odd integers are irrational (with Rivoal). (With Artstein, Barthe and Naor) he answered a fundamental question in information theory by showing that the central limit theorem of probability is driven by an analogue of the second law of thermodynamics. Since 2010 Ball has served as Scientific Director of ICMS in Edinburgh. He also successfully popularises science, for example in his book "Strange curves. ... " In 2023, he was elected a member of the Academia Europaea.

References

Illustrations

Worked examples

Example 1 — a first encounter with Keith Martin Ball

Start with the simplest possible case. Write down what Keith Martin Ball claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Keith Martin Ball before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Keith Martin Ball ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Keith Martin Ball

In research: Keith Martin Ball appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Keith Martin Ball in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Keith Martin Ball is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1960 births, Alumni of Trinity College, Cambridge, British scientist stubs, so understanding it makes those chapters shorter.
In everyday life: Look for Keith Martin Ball outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Keith Martin Ball in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Keith Martin Ball means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Keith Martin Ball out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Keith Martin Ball in simple terms?

Why does Keith Martin Ball matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Keith Martin Ball?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Keith Martin Ball.