mathematics

Martin J. Taylor

Martin J. Taylor 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 J. Taylor rather than just read about it. In short: Martin John Taylor (born 18 February 1952) is a British mathematician and academic. He was Professor of Pure Mathematics at the School of Mathematics, University of Manchester and, prior to its formation and merger, UMIST where he was appointed to a chair after moving from Trinity College, Cambridge in 1986.

Key takeaways

Martin J. Taylor 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 J. Taylor to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Martin J. Taylor from memory before moving on to harder problems.

Reference excerpt

Martin John Taylor (born 18 February 1952) is a British mathematician and academic. He was Professor of Pure Mathematics at the School of Mathematics, University of Manchester and, prior to its formation and merger, UMIST where he was appointed to a chair after moving from Trinity College, Cambridge in 1986. He was elected Warden of Merton College, Oxford on 5 November 2009, took office on 2 October 2010 and retired in September 2018.

Early life and education Taylor was born in Leicester in 1952 and educated at Wyggeston Grammar School. He gained a first class degree from the University of Oxford where he was a student of Pembroke College, Oxford in 1973, and a PhD from King's College London with a thesis on Galois representations in 1976 supervised by Albrecht Fröhlich.

Career and Research Taylor's early research investigated various properties and structures of algebraic numbers. In 1981 he proved the Fröhlich conjecture relating the symmetries of algebraic integers to the behaviour of certain analytic functions called Artin L-functions. More recently his research has led him to study various aspects of arithmetic geometry: in particular, he and his collaborators have demonstrated how geometric properties of zeros of integral polynomials in many variables can be determined by the behaviour of associated L-functions.

Awards and honours Taylor was awarded the Whitehead Prize by the London Mathematical Society in 1982 and shared the Adams Prize in 1983. He was elected a Fellow of the Royal Society (FRS) in 1996. He was President of the London Mathematical Society from 1998 to 2000 and in 2004 was appointed Physical Secretary and Vice-President of the Royal Society. Taylor was appointed Knight Bachelor in the 2009 New Year Honours. Taylor received an honorary Doctorate of Science from the University of East Anglia in July 2012.

Personal life Taylor's hobbies include fly fishing and hill walking, and he is a supporter of Manchester United F.C.. He married Sharon Lynn Marlow in 1973 and has four children.

References

Illustrations

Worked examples

Example 1 — a first encounter with Martin J. Taylor

Start with the simplest possible case. Write down what Martin J. Taylor 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 J. Taylor 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 J. Taylor 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 J. Taylor

In research: Martin J. Taylor 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 J. Taylor 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 J. Taylor is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1952 births, 20th-century British mathematicians, 21st-century British mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Martin J. Taylor 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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Martin J. Taylor” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Martin J. Taylor in 20 minutes

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

Frequently asked questions

What is Martin J. Taylor in simple terms?

Why does Martin J. Taylor 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 J. Taylor?

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 J. Taylor.