mathematics

Pavel Etingof

Pavel Etingof 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 Pavel Etingof rather than just read about it. In short: Pavel Ilyich Etingof (Ukrainian: Павло Ілліч Етінгоф, Russian: Павел Ильич Этингоф; born 1969) is an American mathematician of Ukrainian origin. He does research on the intersection of mathematical physics (exactly integrable systems) and representation theory, e.g., quantum groups.

Key takeaways

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

Reference excerpt

Pavel Ilyich Etingof (Ukrainian: Павло Ілліч Етінгоф, Russian: Павел Ильич Этингоф; born 1969) is an American mathematician of Ukrainian origin. He does research on the intersection of mathematical physics (exactly integrable systems) and representation theory, e.g., quantum groups.

Biography Etingof was born in Kyiv, Ukrainian SSR, and studied in the Kyiv Natural Science Lyceum No. 145 in 1981–1984, and at the Department of Mathematics and Mechanics of the Taras Shevchenko National University of Kyiv in 1984–1986. He received his M.S. in applied mathematics from the Oil and Gas Institute in Moscow in 1989 and then went to the US in 1990. In 1994, he received his PhD in mathematics at Yale University under Igor Frenkel with thesis Representation Theory and Holonomic Systems. After his PhD, he became Benjamin Peirce Assistant Professor at Harvard University and in 1998 an assistant professor at MIT. Since 2005 he is a professor at MIT. In 1999, he was a Fellow of the Clay Mathematics Institute. In 2002, he was an invited speaker at the International Congress of Mathematicians in Beijing (On the dynamical Yang–Baxter equation). He is a Fellow of the American Mathematical Society. In 2010, together with Slava Gerovitch he co-founded the MIT Program for Research In Mathematics, Engineering and Science (PRIMES) for high school students, and has since served as its Chief Research Advisor. In 2016, he became a fellow of the American Academy of Arts and Sciences.

Books Quantum fields and strings: a course for mathematicians. Vol. 1, 2. Material from the Special Year on Quantum Field Theory held at the Institute for Advanced Study, Princeton, NJ, 1996–1997. Edited by Pierre Deligne, Pavel Etingof, Daniel S. Freed, Lisa C. Jeffrey, David Kazhdan, John W. Morgan, David R. Morrison and Edward Witten. American Mathematical Society, Providence, RI; Institute for Advanced Study (IAS), Princeton, NJ, 1999. Vol. 1: xxii+723 pp.; Vol. 2: pp. i--xxiv and 727–1501. ISBN 0-8218-1198-3, 81-06 (81T30 81Txx) With Frédéric Latour: The dynamical Yang–Baxter equation, representation theory, and quantum integrable systems, Oxford University Press 2005 With Igor Frenkel, Alexander Kirillov, Jr.: Lectures on representation theory and Knizhnik–Zamolodchikov equations, American Mathematical Society 1998 With Alexander Varchenko: Why the boundary of a round drop becomes a curve of order four, American Mathematical Society 1992ISBN 978-0-8218-7002-0 Calogero–Moser Systems and Representation Theory, European Mathematical Society 2007 (Zürich Lecture Notes in Advanced Mathematics) With co-authors: Introduction to Representation theory, Student Mathematical Library, American Mathematical Society 2011 Editor with co-editors: The unity of mathematics: in honor of the ninetieth birthday of I. M. Gelfand, Birkhäuser 2006 Editor with Shlomo Gelaki and Steven Shnider: Quantum Groups (Konferenz Technion 2004), American Mathematical Society 2007 Tensor Categories. American Mathematical Society. 2015. ISBN 978-1-4704-2024-6.

References

External links Profile at MIT website

Illustrations

Worked examples

Example 1 — a first encounter with Pavel Etingof

Start with the simplest possible case. Write down what Pavel Etingof 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 Pavel Etingof 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 Pavel Etingof 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 Pavel Etingof

In research: Pavel Etingof 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 Pavel Etingof 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: Pavel Etingof is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1969 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Pavel Etingof 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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Pavel Etingof” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Pavel Etingof in 20 minutes

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

Frequently asked questions

What is Pavel Etingof in simple terms?

Why does Pavel Etingof 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 Pavel Etingof?

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 Pavel Etingof.