mathematics

John Rognes (mathematician)

John Rognes (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 John Rognes (mathematician) rather than just read about it. In short: John Rognes (born 28 April 1966 in Oslo) is a Norwegian mathematician. He is a professor at the Department of Mathematics at the University of Oslo.

Key takeaways

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

Reference excerpt

John Rognes (born 28 April 1966 in Oslo) is a Norwegian mathematician. He is a professor at the Department of Mathematics at the University of Oslo. Rognes mathematical talent was visible from a young age; in 1984 he won a bronze medal at the International Mathematical Olympiad in Prague. As a 19-year-old, he received his master's degree. He then went to Princeton University, where he received a PhD as a 24-year-old with the dissertation "The Rank Filtration in Algebraic K-theory". In 1994, Rognes became an associate professor at Oslo, and in 1998 he was promoted to the rank of professor. He became Norway's youngest professor of mathematics. Rognes' research is about topological mathematics and algebraic K-theory. In 2004, he became one of the 26 who received a five-year scholarship as a Young Outstanding Researcher from the Research Council of Norway. From 2010 to 2014 was the editor of Acta Mathematica. In 2014, he was invited to speak at the International Congress of Mathematicians (ICM) in Seoul. From 2014 to 2018, he was chair of the Abel Committee.

Selected publications Ausoni, Christian; Rognes, John (2002). "Algebraic K-theory of topological K-theory". Acta Mathematica. 188 (1): 1–39. doi:10.1007/bf02392794. ISSN 0001-5962. S2CID 9987011. Rognes, J.; Weibel, C. (23 August 1999). "Two-primary algebraic 𝐾-theory of rings of integers in number fields". Journal of the American Mathematical Society. 13 (1). appendix by M. Kolster: 1–54. doi:10.1090/s0894-0347-99-00317-3. hdl:10852/39337. ISSN 0894-0347. Waldhausen, Friedhelm; Jahren, Bjørn; Rognes, John (2013). Spaces of PL manifolds and categories of simple maps. Princeton: Princeton University Press. ISBN 978-1-4008-4652-8. OCLC 828077867.

External links Official website at the University of Oslo

References

Illustrations

Worked examples

Example 1 — a first encounter with John Rognes (mathematician)

Start with the simplest possible case. Write down what John Rognes (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 John Rognes (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 John Rognes (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 John Rognes (mathematician)

In research: John Rognes (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 John Rognes (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: John Rognes (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1966 births, Living people, Norwegian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for John Rognes (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 John Rognes (mathematician) in 20 minutes

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

Frequently asked questions

What is John Rognes (mathematician) in simple terms?

John Rognes (born 28 April 1966 in Oslo) is a Norwegian mathematician. He is a professor at the Department of Mathematics at the University of Oslo.

Why does John Rognes (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 John Rognes (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 John Rognes (mathematician).