mathematics

Mark Braverman (mathematician)

Mark Braverman (mathematician) 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 Mark Braverman (mathematician) rather than just read about it. In short: Mark Braverman (Hebrew: מארק ברוורמן; born 1984) is an Israeli mathematician and theoretical computer scientist. He was awarded an EMS Prize in 2016 as well as Presburger Award in the same year.

Key takeaways

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

Reference excerpt

Mark Braverman (Hebrew: מארק ברוורמן; born 1984) is an Israeli mathematician and theoretical computer scientist. He was awarded an EMS Prize in 2016 as well as Presburger Award in the same year. In 2019, he was awarded the Alan T. Waterman Award. In 2022, he won the IMU Abacus Medal. He earned his doctorate from the University of Toronto in 2008, under the supervision of Stephen Cook. After this, he did post-doctoral research at Microsoft Research and then joined the faculty at University of Toronto. In 2011, he joined the Princeton University department of computer science. In 2014, he was an Invited Speaker with talk Interactive information and coding theory at the International Congress of Mathematicians in Seoul. Braverman is the son of mathematician Elena Braverman and, through her, the grandson of his co-author, mathematical statistician Yan Petrovich Lumel'skii.

References

External links Mark Braverman's results at International Mathematical Olympiad

Illustrations

Worked examples

Example 1 — a first encounter with Mark Braverman (mathematician)

Start with the simplest possible case. Write down what Mark Braverman (mathematician) 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 Mark Braverman (mathematician) 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 Mark Braverman (mathematician) 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 Mark Braverman (mathematician)

In research: Mark Braverman (mathematician) 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 Mark Braverman (mathematician) 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: Mark Braverman (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1984 births, 21st-century mathematicians, Israeli mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Mark Braverman (mathematician) 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 Mark Braverman (mathematician) in 20 minutes

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

Frequently asked questions

What is Mark Braverman (mathematician) in simple terms?

Why does Mark Braverman (mathematician) 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 Mark Braverman (mathematician)?

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 Mark Braverman (mathematician).