mathematics

Richard Canary

Richard Canary 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 Richard Canary rather than just read about it. In short: Richard Douglas Canary (born in 1962) is an American mathematician working mainly on low-dimensional topology. He is a professor at the University of Michigan.

Key takeaways

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

Reference excerpt

Richard Douglas Canary (born in 1962) is an American mathematician working mainly on low-dimensional topology. He is a professor at the University of Michigan. Canary obtained his Ph.D. from Princeton University in 1989 under the supervision of William Paul Thurston, with the thesis Hyperbolic Structures on 3-Manifolds with Compressible Boundaries. He received a Sloan Research Fellowship in 1993. In 2015 he became a fellow of the American Mathematical Society, "for contributions to low-dimensional topology and hyperbolic geometry as well as for service and teaching in mathematics."

References

External links

Canary's home page at the University of Michigan Canary's profile at Google Scholar

Worked examples

Example 1 — a first encounter with Richard Canary

Start with the simplest possible case. Write down what Richard Canary 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 Richard Canary 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 Richard Canary 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 Richard Canary

In research: Richard Canary 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 Richard Canary 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: Richard Canary is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1962 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Richard Canary 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 Richard Canary in 20 minutes

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

Frequently asked questions

What is Richard Canary in simple terms?

Richard Douglas Canary (born in 1962) is an American mathematician working mainly on low-dimensional topology. He is a professor at the University of Michigan.

Why does Richard Canary 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 Richard Canary?

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 Richard Canary.