mathematics

Jack Thorne (mathematician)

Jack Thorne (mathematician) 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 Jack Thorne (mathematician) rather than just read about it. In short: Jack A. Thorne (born 13 June 1987) is a British mathematician working in number theory and arithmetic aspects of the Langlands program.

Key takeaways

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

Reference excerpt

Jack A. Thorne (born 13 June 1987) is a British mathematician working in number theory and arithmetic aspects of the Langlands program. He specialises in algebraic number theory.

Education Thorne read mathematics at Trinity Hall, Cambridge. He completed his PhD with Benedict Gross and Richard Taylor at Harvard University in 2012.

Career and research Thorne was a Clay Research Fellow. Currently, he is a Professor of Mathematics at the University of Cambridge, where he has been since 2015, and is also a fellow at Trinity College, Cambridge. Thorne's paper on adequate representations significantly extended the applicability of the Taylor–Wiles method. His paper on deformations of reducible representations generalized previous results of Chris Skinner and Andrew Wiles from two-dimensional representations to n-dimensional representations. With Gebhard Böckle, Michael Harris, and Chandrashekhar Khare, he has applied techniques from modularity lifting to the Langlands conjectures over function fields. With Kai-Wen Lan, Harris, and Richard Taylor, Thorne constructed Galois representations associated to non-self dual regular algebraic cuspidal automorphic forms for GL(n) over CM fields. Thorne's 2015 joint work with Khare on potential automorphy and Leopoldt's conjecture has led to a proof of a potential version of the modularity conjecture for elliptic curves over imaginary quadratic fields. In joint work with James Newton, Thorne has established symmetric power functoriality for all holomorphic modular forms.

Awards and honors Thorne was awarded the Whitehead Prize in 2017. In 2018, Thorne was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro. He was awarded the 2018 SASTRA Ramanujan Prize for his contributions to the field of mathematics. He shared the prize with Yifeng Liu. In April 2020 he was elected a Fellow of the Royal Society. In 2020 he received the EMS Prize of the European Mathematical Society, in 2021 he was awarded a New Horizons in Mathematics Prize and in 2022 he was awarded the Adams Prize. For 2023 he received the Cole Prize in Number Theory of the American Mathematical Society. In 2024 he received the Clay Research Award jointly with James Newton.

References

External links Jack Thorne's Professional Webpage

Worked examples

Example 1 — a first encounter with Jack Thorne (mathematician)

Start with the simplest possible case. Write down what Jack Thorne (mathematician) 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 Jack Thorne (mathematician) 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 Jack Thorne (mathematician) 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 Jack Thorne (mathematician)

In research: Jack Thorne (mathematician) 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 Jack Thorne (mathematician) 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: Jack Thorne (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1987 births, 21st-century British mathematicians, Alumni of Trinity Hall, Cambridge, so understanding it makes those chapters shorter.
In everyday life: Look for Jack Thorne (mathematician) 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 Jack Thorne (mathematician) in 20 minutes

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

Frequently asked questions

What is Jack Thorne (mathematician) in simple terms?

Jack A. Thorne (born 13 June 1987) is a British mathematician working in number theory and arithmetic aspects of the Langlands program.

Why does Jack Thorne (mathematician) 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 Jack Thorne (mathematician)?

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 Jack Thorne (mathematician).