mathematics

Jacques Tilouine

Jacques Tilouine 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 Tilouine rather than just read about it. In short: Jacques Tilouine is a professor of mathematics at Université Sorbonne Paris Nord working in number theory and automorphic forms, particularly Iwasawa theory. Career Tilouine received his PhD in mathematics from Paris-Sud University in 1989 under the supervision of John H.

Key takeaways

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

Reference excerpt

Jacques Tilouine is a professor of mathematics at Université Sorbonne Paris Nord working in number theory and automorphic forms, particularly Iwasawa theory.

Career Tilouine received his PhD in mathematics from Paris-Sud University in 1989 under the supervision of John H. Coates. He is a professor of mathematics at Université Sorbonne Paris Nord.

Research Tilouine has worked on the anticyclotomic main conjecture of Iwasawa theory, special values of L-functions, and Serre-type conjectures for symplectic groups.

Selected publications Harris, Michael; Tilouine, Jacques (2001). "p-adic measures and square roots of special values of triple product L-functions". Mathematische Annalen. 320 (1): 127–147. arXiv:math/9610228. doi:10.1007/PL00004465. ISSN 0025-5831. S2CID 123122384. Herzig, Florian; Tilouine, Jacques (2013). "Conjecture de type de Serre et formes compagnons pour GSp4". Journal für die reine und angewandte Mathematik. 2013 (676): 1–32. arXiv:0812.1525. doi:10.1515/CRELLE.2011.190. ISSN 1435-5345. S2CID 18101385. Hida, H.; Tilouine, J. (1994). "On the anticyclotomic main conjecture for CM fields". Inventiones Mathematicae. 117 (1): 89–147. Bibcode:1994InMat.117...89H. doi:10.1007/BF01232236. ISSN 0020-9910. S2CID 121368809. Tilouine, J. (1989). "Sur la conjecture principale anticyclotomique". Duke Mathematical Journal. 59 (3): 629–673. doi:10.1215/S0012-7094-89-05929-2. ISSN 0012-7094.

References

External links Jacques Tilouine at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Jacques Tilouine

Start with the simplest possible case. Write down what Jacques Tilouine 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 Tilouine 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 Tilouine 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 Tilouine

In research: Jacques Tilouine 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 Tilouine 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 Tilouine is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century French mathematicians, 21st-century French mathematicians, Academic staff of the University of Paris, so understanding it makes those chapters shorter.
In everyday life: Look for Jacques Tilouine 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 Tilouine in 20 minutes

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

Frequently asked questions

What is Jacques Tilouine in simple terms?

Jacques Tilouine is a professor of mathematics at Université Sorbonne Paris Nord working in number theory and automorphic forms, particularly Iwasawa theory. Career Tilouine received his PhD in mathematics from Paris-Sud University in 1989 under the supervision of John H.

Why does Jacques Tilouine 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 Tilouine?

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 Tilouine.