mathematics

Sylvie Corteel

Sylvie Corteel 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 Sylvie Corteel rather than just read about it. In short: Sylvie Corteel is a French mathematician at the Centre national de la recherche scientifique and Paris Diderot University and the University of California, Berkeley, who was an editor-in-chief of the Journal of Combinatorial Theory, Series A. Her research concerns the enumerative combinatorics and algebraic combinatorics of permutations, Young tableaux, and integer partitions.

Key takeaways

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

Reference excerpt

Sylvie Corteel is a French mathematician at the Centre national de la recherche scientifique and Paris Diderot University and the University of California, Berkeley, who was an editor-in-chief of the Journal of Combinatorial Theory, Series A. Her research concerns the enumerative combinatorics and algebraic combinatorics of permutations, Young tableaux, and integer partitions.

Education and career After earning an engineering degree in 1996 from the University of Technology of Compiègne, Corteel worked with Carla Savage at North Carolina State University, where she earned a master's degree in 1997. She completed her Ph.D. in 2000 at the University of Paris-Sud under the supervision of Dominique Gouyou-Beauchamps, and earned a habilitation in 2010 at Paris Diderot University. She worked as a maitresse de conférences and then as a CNRS chargée de recherche at the Versailles Saint-Quentin-en-Yvelines University from 2000 to 2005, also doing postdoctoral studies at the Université du Québec à Montréal in 2001. From 2005 to 2009 she was associated with the University of Paris-Sud, and in 2009 she moved to Paris Diderot, where in 2010 she became a director of research. Since 2017 she has been a Visiting Miller Professor at the University of California, Berkeley. She was named MSRI Simons Professor for 2017-2018. Along with colleagues O. Mandelshtam and L. Williams, in 2018 Corteel developed a new characterization of both symmetric and nonsymmetric Macdonald polynomials using the combinatorial exclusion process.

Selected publications Bergeron, Anne; Corteel, Sylvie; Raffinot, Mathieu (2002), "The algorithmic of gene teams", in Guigó, Roderic; Gusfield, Dan (eds.), Algorithms in Bioinformatics: Second International Workshop, WABI 2002, Rome, Italy, September 17–21, 2002, Proceedings, Lecture Notes in Computer Science, vol. 2452, Berlin: Springer, pp. 464–476, doi:10.1007/3-540-45784-4_36, ISBN 978-3-540-44211-0 Corteel, Sylvie; Lovejoy, Jeremy (2004), "Overpartitions", Transactions of the American Mathematical Society, 356 (4): 1623–1635, doi:10.1090/S0002-9947-03-03328-2, MR 2034322 Corteel, Sylvie (2007), "Crossings and alignments of permutations", Advances in Applied Mathematics, 38 (2): 149–163, arXiv:math/0601469, doi:10.1016/j.aam.2006.01.006, MR 2290808, S2CID 10061267 Corteel, Sylvie; Mandelshtam, Olya; Williams, Lauren (2022), "From multiline queues to Macdonald polynomials via the exclusion process", American Journal of Mathematics, 144 (2): 395–436, arXiv:1811.01024, doi:10.1353/ajm.2022.0007, MR 4401508 Corteel, Sylvie; Williams, Lauren K. (2007), "Tableaux combinatorics for the asymmetric exclusion process", Advances in Applied Mathematics, 39 (3): 293–310, arXiv:math/0602109, doi:10.1016/j.aam.2006.08.002, MR 2352041, S2CID 18546635

References

External links Home page

Worked examples

Example 1 — a first encounter with Sylvie Corteel

Start with the simplest possible case. Write down what Sylvie Corteel 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 Sylvie Corteel 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 Sylvie Corteel 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 Sylvie Corteel

In research: Sylvie Corteel 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 Sylvie Corteel 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: Sylvie Corteel is common in secondary-school and first-year university syllabi. It links to neighbouring topics Combinatorialists, French mathematicians, French women mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Sylvie Corteel 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 Sylvie Corteel in 20 minutes

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

Frequently asked questions

What is Sylvie Corteel in simple terms?

Why does Sylvie Corteel 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 Sylvie Corteel?

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 Sylvie Corteel.