mathematics

Leonid Polterovich

Leonid Polterovich 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 Leonid Polterovich rather than just read about it. In short: Leonid Polterovich (Hebrew: לאוניד פולטרוביץ'; Russian: Леонид В. Полтерович; born 30 August 1963) is a Russian-Israeli mathematician at Tel Aviv University. His research field includes symplectic geometry and dynamical systems.

Key takeaways

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

Reference excerpt

Leonid Polterovich (Hebrew: לאוניד פולטרוביץ'; Russian: Леонид В. Полтерович; born 30 August 1963) is a Russian-Israeli mathematician at Tel Aviv University. His research field includes symplectic geometry and dynamical systems. A native of Moscow, Polterovich earned his undergraduate degree at Moscow State University in 1984. He moved to Israel after the collapse of communism, earning his doctorate from Tel Aviv University in 1990. In 1996, he was awarded the EMS Prize, in 1998 the Erdős Prize, and in 2003 the Michael Bruno Memorial Award by Yad Hanadiv. In 1998, he was an invited speaker of the International Congress of Mathematicians in Berlin. In 2016, he gave a plenary lecture at the 7th European Congress of Mathematics in Berlin. He was a member of the faculty of the University of Chicago. He was elected to the Academia Europaea in 2024. His brother, Iosif Polterovich, is a professor of mathematics at the University of Montreal.

References

External links Website at Tel Aviv University Leonid Polterovich at the Mathematics Genealogy Project

Illustrations

Worked examples

Example 1 — a first encounter with Leonid Polterovich

Start with the simplest possible case. Write down what Leonid Polterovich 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 Leonid Polterovich 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 Leonid Polterovich 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 Leonid Polterovich

In research: Leonid Polterovich 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 Leonid Polterovich 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: Leonid Polterovich is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1963 births, Academic staff of Tel Aviv University, Erdős Prize recipients, so understanding it makes those chapters shorter.
In everyday life: Look for Leonid Polterovich 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 Leonid Polterovich in 20 minutes

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

Frequently asked questions

What is Leonid Polterovich in simple terms?

Why does Leonid Polterovich 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 Leonid Polterovich?

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 Leonid Polterovich.