mathematics

Martin Bridson

Martin Bridson 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 Martin Bridson rather than just read about it. In short: Martin Robert Bridson (born 22 October 1964) is a Manx mathematician. He is Whitehead Professor of Pure Mathematics at the University of Oxford, and the president of the Clay Mathematics Institute.

Key takeaways

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

Reference excerpt

Martin Robert Bridson (born 22 October 1964) is a Manx mathematician. He is Whitehead Professor of Pure Mathematics at the University of Oxford, and the president of the Clay Mathematics Institute. He was previously the head of Oxford's Mathematical Institute. He is a fellow of Magdalen College, Oxford and an honorary fellow of Hertford College, Oxford. Specializing in geometry, topology and group theory, Bridson is best known for his work in geometric group theory.

Education and early life

Bridson is a native of the Isle of Man. He was educated at St Ninian's High School, Douglas, then Hertford College, Oxford, and Cornell University, receiving a Master of Arts degree from Oxford in 1986, and a Master of Science degree in 1988 followed by a PhD in 1991 from Cornell. His PhD thesis was supervised by Karen Vogtmann, and was entitled Geodesics and Curvature in Metric Simplicial Complexes.

Career and research He was an assistant professor at Princeton University until 1996, was twice a visiting professor at the University of Geneva (1992 and 2006), and was Professor of Mathematics at Imperial College London from 2002 to 2007. From 1993 to 2002 he was a Tutorial Fellow of Pembroke College, Oxford, and Reader (1996) then Professor of Topology (2000) in the University of Oxford. He remains a Supernumerary Fellow of Pembroke College. In 2016, Bridson became only the second Manxman to ever be elected to the Royal Society, after Edward Forbes. In 2020, he was elected to Academia Europaea. With André Haefliger, he won the 2020 Steele Prize for Mathematical Exposition for the highly influential book Metric Spaces of Non-positive Curvature, published by Springer-Verlag in 1999.

Honours and awards Bridson was an invited lecturer at the International Congress of Mathematicians in 2006.

2016 Elected a Fellow of the Royal Society. 2014 Elected a Fellow of the American Mathematical Society. 1999 Whitehead Prize 2012 Royal Society Wolfson Research Merit Award 2020 Elected Member of Academia Europaea 2020 Steele Prize of the American Mathematical Society

References

This article incorporates text available under the CC BY 4.0 license.

Illustrations

Worked examples

Example 1 — a first encounter with Martin Bridson

Start with the simplest possible case. Write down what Martin Bridson 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 Martin Bridson 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 Martin Bridson 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 Martin Bridson

In research: Martin Bridson 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 Martin Bridson 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: Martin Bridson is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1964 births, 20th-century British mathematicians, 21st-century British mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Martin Bridson 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 Martin Bridson in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Martin Bridson 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 Martin Bridson out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Martin Bridson in simple terms?

Martin Robert Bridson (born 22 October 1964) is a Manx mathematician. He is Whitehead Professor of Pure Mathematics at the University of Oxford, and the president of the Clay Mathematics Institute.

Why does Martin Bridson 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 Martin Bridson?

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 Martin Bridson.