mathematics

Ragni Piene

Ragni Piene 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 Ragni Piene rather than just read about it. In short: Ragni Piene (born 18 January 1947, Oslo) is a Norwegian mathematician, specializing in algebraic geometry, with particular interest in enumerative results and intersection theory. Education and career After a bachelor's degree from the University of Oslo in 1969 and a DEA from Université de Paris in 1970 Piene received a doctorate in mathematics from the Massachusetts Institute of Technology in 1976, advised by Stev…

Key takeaways

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

Reference excerpt

Ragni Piene (born 18 January 1947, Oslo) is a Norwegian mathematician, specializing in algebraic geometry, with particular interest in enumerative results and intersection theory.

Education and career After a bachelor's degree from the University of Oslo in 1969 and a DEA from Université de Paris in 1970 Piene received a doctorate in mathematics from the Massachusetts Institute of Technology in 1976, advised by Steven Kleiman. Her dissertation was titled Plücker Formulas. She was appointed professor at the University of Oslo in 1987.

Recognition She was elected a member of the Norwegian Academy of Science and Letters in 1994, and in 2012 she became a fellow of the American Mathematical Society and a member of the Academia Europaea. She is also one of the protagonists of the Women of mathematics exhibition.

Service Since 2003 she has been a member of the executive committee of the International Mathematical Union, and was the chair of the Abel Committee from 2010–2011 to 2013–2014.

References

Illustrations

Worked examples

Example 1 — a first encounter with Ragni Piene

Start with the simplest possible case. Write down what Ragni Piene 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 Ragni Piene 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 Ragni Piene 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 Ragni Piene

In research: Ragni Piene 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 Ragni Piene 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: Ragni Piene is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1947 births, 20th-century Norwegian mathematicians, 20th-century Norwegian people, so understanding it makes those chapters shorter.
In everyday life: Look for Ragni Piene 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 “Ragni Piene” →

Affiliate

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

How to study Ragni Piene in 20 minutes

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

Frequently asked questions

What is Ragni Piene in simple terms?

Ragni Piene (born 18 January 1947, Oslo) is a Norwegian mathematician, specializing in algebraic geometry, with particular interest in enumerative results and intersection theory. Education and career After a bachelor's degree from the University of Oslo in 1969 and a DEA from Université de Paris i…

Why does Ragni Piene 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 Ragni Piene?

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 Ragni Piene.