mathematics

Igor Krichever

Igor Krichever 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 Igor Krichever rather than just read about it. In short: Igor Moiseevich Krichever (Russian: Игорь Моисеевич Кричевер; 8 October 1950 – 1 December 2022) was a Russian academic and mathematician. Biography Krichever was born in Kuybyshev to aviation engineer Moisey Solomonovich Krichever and Maria Leyzerovna Arlievskaya.

Key takeaways

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

Reference excerpt

Igor Moiseevich Krichever (Russian: Игорь Моисеевич Кричевер; 8 October 1950 – 1 December 2022) was a Russian academic and mathematician.

Biography Krichever was born in Kuybyshev to aviation engineer Moisey Solomonovich Krichever and Maria Leyzerovna Arlievskaya. He received a silver medal at the 1967 International Mathematical Olympiad. He graduated from the MSU Faculty of Mechanics and Mathematics in 1972. From 1975 to 1988, Krichever was a researcher at the Energy Institute G. M. Krzhizhanovsky. He was then a senior researcher at the Institute for Problems in Mechanics of the Russian Academy of Sciences. In 1990, he became a senior researcher for the Landau Institute for Theoretical Physics. From 1992 to 1996, he was a professor at the Independent University of Moscow. In 1997, he became a professor at Columbia University in New York City, where he served as dean of the mathematics department from 2008 to 2011. In 2013, he became a professor at the Higher School of Economics in Moscow. That same year, he became deputy director of the Institute for Information Transmission Problems of Russian Academy of Sciences. In 2011, Krichever was awarded the Medal of the Order "For Merit to the Fatherland" II class. Igor Krichever died in New York City on 1 December 2022, at the age of 72.

References

External links Braverman, Alexander; Etingof, Pavel; Okounkov, Andrei; Phong, Duong; Wiegmann, Pavel; Arbarello, Enrico; Brazovski, Serguei; Drinfeld, Vladimir; Dzhamay, Anton; Grushevsky, Samuel; Nekrasov, Nikita; Novikov, Sergei; Takhtajan, Leon; Varchenko, Alexander; Veselov, Alexander; Zabrodin, Anton; Smoliarova, Tatiana (April 2024). "In Memory of Igor Krichever" (PDF). Notices of the American Mathematical Society. 71 (4): 483–499. doi:10.1090/noti2909.

Illustrations

Worked examples

Example 1 — a first encounter with Igor Krichever

Start with the simplest possible case. Write down what Igor Krichever 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 Igor Krichever 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 Igor Krichever 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 Igor Krichever

In research: Igor Krichever 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 Igor Krichever 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: Igor Krichever is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1950 births, 2022 deaths, Academic staff of the Higher School of Economics, so understanding it makes those chapters shorter.
In everyday life: Look for Igor Krichever 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 Igor Krichever in 20 minutes

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

Frequently asked questions

What is Igor Krichever in simple terms?

Igor Moiseevich Krichever (Russian: Игорь Моисеевич Кричевер; 8 October 1950 – 1 December 2022) was a Russian academic and mathematician. Biography Krichever was born in Kuybyshev to aviation engineer Moisey Solomonovich Krichever and Maria Leyzerovna Arlievskaya.

Why does Igor Krichever 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 Igor Krichever?

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 Igor Krichever.