mathematics

Raphaël Rouquier

Raphaël Rouquier 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 Raphaël Rouquier rather than just read about it. In short: Raphaël Alexis Marcel Rouquier (born 9 December 1969) is a French mathematician and a professor of mathematics at UCLA. Education Rouquier was born in Étampes, France.

Key takeaways

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

Reference excerpt

Raphaël Alexis Marcel Rouquier (born 9 December 1969) is a French mathematician and a professor of mathematics at UCLA.

Education Rouquier was born in Étampes, France. Rouquier studied at the École Normale Supérieure from 1988 to 1989 and from 1989 to 1990 for a DEA in mathematics under the direction of Michel Broué, where he continued to study for his PhD. Rouquier spent the second year of his PhD study at the University of Cambridge under the supervision of J. G. Thompson.

Career He was hired by the CNRS in 1992 where he completed his PhD (1992) and Habilitation (1998–1999). He was appointed director of research there in 2003. From 2005 to 2006 he was Professor of Representation Theory at the Department of Pure Mathematics at the University of Leeds before moving to the University of Oxford as the Waynflete Professor of Pure Mathematics. In 2012, he moved to UCLA.

Awards and honors He was awarded the Whitehead Prize in 2006 and the Adams Prize in 2009 for contributions to representation theory. He was awarded the Élie Cartan Prize in 2009. In 2012 he became a fellow of the American Mathematical Society. In 2015 he became a Simons Investigator. He gave the Peccot Lectures at Collège de France in 2000, the Whittemore Lectures at Yale University in 2005, an Algebra Section lecture at the International Congress of Mathematicians in 2006, the Albert Lectures at the University of Chicago in 2008, the Moursund Lectures at the University of Oregon in 2013, the Simons Lectures at MIT in 2013, the CBMS Lectures in 2014 and the Ellis Kolchin Memorial Lecture at Columbia University in 2016.

Notes

External links Raphaël Rouquier at Oxford Raphaël Rouquier at UCLA Raphaël Rouquier at the Mathematics Genealogy Project

Illustrations

Worked examples

Example 1 — a first encounter with Raphaël Rouquier

Start with the simplest possible case. Write down what Raphaël Rouquier 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 Raphaël Rouquier 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 Raphaël Rouquier 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 Raphaël Rouquier

In research: Raphaël Rouquier 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 Raphaël Rouquier 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: Raphaël Rouquier is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1969 births, 20th-century French mathematicians, 21st-century French mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Raphaël Rouquier 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 Raphaël Rouquier in 20 minutes

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

Frequently asked questions

What is Raphaël Rouquier in simple terms?

Raphaël Alexis Marcel Rouquier (born 9 December 1969) is a French mathematician and a professor of mathematics at UCLA. Education Rouquier was born in Étampes, France.

Why does Raphaël Rouquier 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 Raphaël Rouquier?

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 Raphaël Rouquier.