mathematics

Rachel Roberts (mathematician)

Rachel Roberts (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 Rachel Roberts (mathematician) rather than just read about it. In short: Rachel Roberts is an American mathematician specializing in low-dimensional topology, including foliations and contact geometry. She is the Elinor Anheuser Professor of Mathematics at Washington University in St.

Key takeaways

Rachel Roberts (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 Rachel Roberts (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Rachel Roberts (mathematician) from memory before moving on to harder problems.

Reference excerpt

Rachel Roberts is an American mathematician specializing in low-dimensional topology, including foliations and contact geometry. She is the Elinor Anheuser Professor of Mathematics at Washington University in St. Louis. Roberts completed her Ph.D. at Cornell University in 1992. Her dissertation, supervised by Allen Hatcher, was Constructing Taut Foliations. She was elected to the 2026 class of Fellows of the American Mathematical Society.

Publications Delman, Charles; Roberts, Rachel (1999). "Alternating knots satisfy strong property P". Commentarii Mathematici Helvetici. 74 (3): 376–397. doi:10.1007/s000140050095. MR 1710698. Roberts, Rachel; Shareshian, John; Stein, Melanie (2003). "Infinitely many hyperbolic 3-manifolds which contain no Reebless foliation". Journal of the American Mathematical Society. 16 (3): 639–680. doi:10.1090/s0894-0347-03-00426-0. MR 1969207.

References

External links Home page

Worked examples

Example 1 — a first encounter with Rachel Roberts (mathematician)

Start with the simplest possible case. Write down what Rachel Roberts (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 Rachel Roberts (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 Rachel Roberts (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 Rachel Roberts (mathematician)

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

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

Frequently asked questions

What is Rachel Roberts (mathematician) in simple terms?

Why does Rachel Roberts (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 Rachel Roberts (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 Rachel Roberts (mathematician).