mathematics

Patrick Dorey

Patrick Dorey 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 Patrick Dorey rather than just read about it. In short: Patrick Edward Dorey is a British mathematical physicist. He is a Professor in the Department of Mathematical Sciences at Durham University.

Key takeaways

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

Reference excerpt

Patrick Edward Dorey is a British mathematical physicist. He is a Professor in the Department of Mathematical Sciences at Durham University.

Education Dorey completed his PhD in 1990 at Durham University, where he was supervised by Ed Corrigan.

Career Dorey returned to Durham in 1993 after working as a postdoc at Saclay and CERN. His main research interest is conformal and integrable field theories. He was elected a Fellow of the Institute of Physics in 2000. He has also served as a visiting lecturer at the African Institute of Mathematical Sciences (AIMS) in Cape Town, South Africa, where he remains an associate faculty member.

Selected publications Dorey, Patrick; Tateo, Roberto (1996). "Excited states by analytic continuation of TBA equations". Nuclear Physics B. 482 (3): 639–659. arXiv:hep-th/9607167. doi:10.1016/S0550-3213(96)00516-0. ———; Tateo, Roberto (1999). "Anharmonic oscillators, the thermodynamic Bethe ansatz and nonlinear integral equations". Journal of Physics A: Mathematical and General. 32 (38): L419–L425. arXiv:hep-th/9812211. doi:10.1088/0305-4470/32/38/102. ———; Dunning, Clare; Tateo, Roberto (2001). "Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics". Journal of Physics A: Mathematical and General. 34 (28): 5679–5704. arXiv:hep-th/0103051. doi:10.1088/0305-4470/34/28/305. ———; Dunning, Clare; Tateo, Roberto (2007). "The ODE/IM correspondence". Journal of Physics A: Mathematical and Theoretical. 40 (32): R205–R283. arXiv:hep-th/0703066. doi:10.1088/1751-8113/40/32/R01. ———; Mersh, Kieran; Romanczukiewicz, Tomasz; Shnir, Yasha (2011). "Kink-antikink collisions in the φ⁶ model". Physical Review Letters. 107 (9) 091602. arXiv:1101.5951. doi:10.1103/PhysRevLett.107.091602.

References

External links Patrick Dorey publications indexed by Google Scholar

Worked examples

Example 1 — a first encounter with Patrick Dorey

Start with the simplest possible case. Write down what Patrick Dorey 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 Patrick Dorey 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 Patrick Dorey 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 Patrick Dorey

In research: Patrick Dorey 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 Patrick Dorey 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: Patrick Dorey is common in secondary-school and first-year university syllabi. It links to neighbouring topics Alumni of Durham University, British mathematical physicists, British mathematician stubs, so understanding it makes those chapters shorter.
In everyday life: Look for Patrick Dorey 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 Patrick Dorey in 20 minutes

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

Frequently asked questions

What is Patrick Dorey in simple terms?

Patrick Edward Dorey is a British mathematical physicist. He is a Professor in the Department of Mathematical Sciences at Durham University.

Why does Patrick Dorey 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 Patrick Dorey?

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 Patrick Dorey.