mathematics

Jason Behrstock

Jason Behrstock 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 Jason Behrstock rather than just read about it. In short: Jason Alan Behrstock is a mathematician at the City University of New York known for his work in geometric group theory and low-dimensional topology. Life and career Behrstock was born in California and was educated in California's public school system.

Key takeaways

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

Reference excerpt

Jason Alan Behrstock is a mathematician at the City University of New York known for his work in geometric group theory and low-dimensional topology.

Life and career Behrstock was born in California and was educated in California's public school system. He received his Ph.D. from State University of New York at Stony Brook in 2004. He went to work at Columbia University and the University of Utah before his time at Lehman College, City University of New York.

Awards and honors In 2009, Behrstock was award the Feliks Gross Endowment Award by the Graduate Center of the City University of New York, a research award for young faculty. In 2010, Behrstock was awarded the Alfred P. Sloan Fellowship. In 2012, Behrstock became a fellow of the American Mathematical Society. Behrstock became a Simons Fellow in 2014.

Selected publications Behrstock, Jason A. "Asymptotic geometry of the mapping class group and Teichmüller space". Geom. Topol. 10 (2006), pages 1523–1578. Behrstock, Jason; Druţu, Cornelia; Mosher, Lee. "Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity". Math. Ann. 344 (2009), number 3, pages 543–595. Behrstock, Jason A.; Minsky, Yair N. "Dimension and rank for mapping class groups". Ann. of Math. (2) 167 (2008), number 3, pages 1055–1077.

References

Illustrations

Worked examples

Example 1 — a first encounter with Jason Behrstock

Start with the simplest possible case. Write down what Jason Behrstock 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 Jason Behrstock 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 Jason Behrstock 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 Jason Behrstock

In research: Jason Behrstock 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 Jason Behrstock 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: Jason Behrstock is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century American mathematicians, 21st-century American mathematicians, CUNY Graduate Center faculty, so understanding it makes those chapters shorter.
In everyday life: Look for Jason Behrstock 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 Jason Behrstock in 20 minutes

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

Frequently asked questions

What is Jason Behrstock in simple terms?

Jason Alan Behrstock is a mathematician at the City University of New York known for his work in geometric group theory and low-dimensional topology. Life and career Behrstock was born in California and was educated in California's public school system.

Why does Jason Behrstock 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 Jason Behrstock?

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 Jason Behrstock.