mathematics

Jacques Hurtubise (mathematician)

Jacques Hurtubise (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 Jacques Hurtubise (mathematician) rather than just read about it. In short: Jacques Claude Hurtubise FRSC (born March 12, 1957) is a Canadian mathematician who works as a professor of mathematics and chair of the mathematics department at McGill University. His research interests include moduli spaces, integrable systems, and Riemann surfaces.

Key takeaways

Jacques Hurtubise (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 Jacques Hurtubise (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Jacques Hurtubise (mathematician) from memory before moving on to harder problems.

Reference excerpt

Jacques Claude Hurtubise FRSC (born March 12, 1957) is a Canadian mathematician who works as a professor of mathematics and chair of the mathematics department at McGill University. His research interests include moduli spaces, integrable systems, and Riemann surfaces. Among other contributions, he is known for proving the Atiyah–Jones conjecture (in collaboration with Boyer, Mann, and Milgram). After undergraduate studies at the Université de Montréal, Hurtubise became a Rhodes Scholar at the University of Oxford for 1978–1981, and earned a DPhil from Oxford in 1982, supervised by Nigel Hitchin, with a dissertation concerning links between algebraic geometry and differential geometry. Following his DPhil, he taught at the Université du Québec à Montréal until 1988, when he moved to McGill. He has also been director of the Centre de Recherches Mathématiques. Hurtubise won the Coxeter–James Prize of the Canadian Mathematical Society in 1993, and was an AMS Centennial Fellow for 1993–1994. In 2004 he became a fellow of the Royal Society of Canada, and in 2012, he became one of the inaugural fellows of the American Mathematical Society. In 2018 the Canadian Mathematical Society listed him in their inaugural class of fellows. In 2022 was the recipient of the 2022 David Borwein Distinguished Career Award by the Canadian Mathematical Society (CMS), "for his exceptional, continued, and broad contributions to mathematics".

References

Worked examples

Example 1 — a first encounter with Jacques Hurtubise (mathematician)

Start with the simplest possible case. Write down what Jacques Hurtubise (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 Jacques Hurtubise (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 Jacques Hurtubise (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 Jacques Hurtubise (mathematician)

In research: Jacques Hurtubise (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 Jacques Hurtubise (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: Jacques Hurtubise (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1957 births, 20th-century Canadian mathematicians, 21st-century Canadian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Jacques Hurtubise (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 Jacques Hurtubise (mathematician) in 20 minutes

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

Frequently asked questions

What is Jacques Hurtubise (mathematician) in simple terms?

Why does Jacques Hurtubise (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 Jacques Hurtubise (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 Jacques Hurtubise (mathematician).