mathematics

Michael Krivelevich

Michael Krivelevich 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 Michael Krivelevich rather than just read about it. In short: Michael Krivelevich (Hebrew: 'מיכאל קריבלביץ; born January 30, 1966) is a professor with the School of Mathematical Sciences of Tel Aviv University, Israel. Krivelevich received his PhD from Tel Aviv University in 1997 under the supervision of Noga Alon.

Key takeaways

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

Reference excerpt

Michael Krivelevich (Hebrew: 'מיכאל קריבלביץ; born January 30, 1966) is a professor with the School of Mathematical Sciences of Tel Aviv University, Israel. Krivelevich received his PhD from Tel Aviv University in 1997 under the supervision of Noga Alon. He has published extensively in combinatorics and adjacent fields and specializes in extremal and probabilistic combinatorics. He serves as an editor-in-chief of the Journal of Combinatorial Theory (Series B) and is on the editorial board of several other journals in the field.

Awards and honors In 2007, Krivelevich and Alan Frieze won the Pazy Memorial Award for research into probabilistic reasoning in combinatorics. In 2014, Krivelevich gave an invited address in the Combinatorics section at the International Congress of Mathematicians. He was elected as a member of the 2017 class of Fellows of the American Mathematical Society "for contributions to extremal and probabilistic combinatorics".

References

External links Official website Michael Krivelevich at the Mathematics Genealogy Project

Illustrations

Worked examples

Example 1 — a first encounter with Michael Krivelevich

Start with the simplest possible case. Write down what Michael Krivelevich 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 Michael Krivelevich 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 Michael Krivelevich 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 Michael Krivelevich

In research: Michael Krivelevich 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 Michael Krivelevich 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: Michael Krivelevich is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1966 births, 20th-century Israeli mathematicians, 21st-century Israeli mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Michael Krivelevich 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 Michael Krivelevich in 20 minutes

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

Frequently asked questions

What is Michael Krivelevich in simple terms?

Why does Michael Krivelevich 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 Michael Krivelevich?

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 Michael Krivelevich.