mathematics

Nalini Anantharaman

Nalini Anantharaman 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 Nalini Anantharaman rather than just read about it. In short: Nalini Florence Anantharaman (born 26 February 1976) is an Indian-French mathematician known for her work in mathematical physics and analysis. She is currently a professor at the University of Strasbourg.

Key takeaways

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

Reference excerpt

Nalini Florence Anantharaman (born 26 February 1976) is an Indian-French mathematician known for her work in mathematical physics and analysis. She is currently a professor at the University of Strasbourg. She has won major prizes for her work, including the Henri Poincaré Prize in 2012.

Life Nalini Florence Anantharaman was born in Paris in 1976 to two mathematicians of Indian-origin. Her father and her mother are Professors at the University of Orléans. She entered Ecole Normale Supérieure in 1994. She completed her Ph.D. in Paris under the supervision of François Ledrappier in 2000 at Université Pierre et Marie Curie (Paris 6). She became a full Professor, at the Paris-Sud University, in 2009 following time out at the University of California, Berkeley in the year before as a Visiting Miller professor. From January to June 2013 at the Institute for Advanced Study. She is now a Professor at Université de Strasbourg and holder of the Spectral Geometry chair at the Collège de France.

Recognition In 2012 she was one of four recipients of the Henri Poincaré Prize for mathematical physics, along with Freeman Dyson, Barry Simon and fellow Frenchwoman Sylvia Serfaty. Anantharaman was included for her work in "quantum chaos, dynamical systems and Schrödinger equations, including a remarkable advance in the problem of quantum unique ergodicity". In 2011 she won the Salem Prize which is awarded for work associated with Fourier Series. She also received the Grand Prix Jacques Herbrand from the French Academy of Sciences in 2011. In 2015, Anantharaman was elected to be a member of the Academia Europaea. She was an invited plenary speaker at the 2018 International Congress of Mathematicians. In 2018, for her work related to “Quantum Chaos”, Anantharaman won the Infosys Prize (in Mathematical Sciences category), one of the highest monetary awards in India that recognize excellence in science and research. In 2020 she received the Nemmers Prize in Mathematics.

Selected writings Anantharaman, Nalini (1 September 2008). "Entropy and the localization of eigenfunctions". Annals of Mathematics. 168 (2). Annals of Mathematics: 435–475. doi:10.4007/annals.2008.168.435. ISSN 0003-486X. Anantharaman, Nalini; Koch, Herbert; Nonnenmacher, Stéphane (2009). "Entropy of Eigenfunctions". New Trends in Mathematical Physics. Dordrecht: Springer Netherlands. arXiv:0704.1564. doi:10.1007/978-90-481-2810-5_1. ISBN 978-90-481-2809-9. S2CID 39219368. Anantharaman, Nalini; Nonnenmacher, Stéphane (2007). "Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold". Annales de l'Institut Fourier. 57 (7). Cellule MathDoc/CEDRAM: 2465–2523. arXiv:math-ph/0610019. doi:10.5802/aif.2340. ISSN 0373-0956. S2CID 41613433.

References

Illustrations

Worked examples

Example 1 — a first encounter with Nalini Anantharaman

Start with the simplest possible case. Write down what Nalini Anantharaman 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 Nalini Anantharaman 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 Nalini Anantharaman 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 Nalini Anantharaman

In research: Nalini Anantharaman 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 Nalini Anantharaman 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: Nalini Anantharaman is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1976 births, 20th-century French mathematicians, 20th-century French women mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Nalini Anantharaman 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 Nalini Anantharaman in 20 minutes

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Frequently asked questions

What is Nalini Anantharaman in simple terms?

Why does Nalini Anantharaman 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 Nalini Anantharaman?

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 Nalini Anantharaman.