mathematics

Lars Hesselholt

Lars Hesselholt 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 Lars Hesselholt rather than just read about it. In short: Lars Hesselholt (born September 25, 1966) is a Danish mathematician who works as a professor of mathematics at Nagoya University in Japan, as well as holding a temporary position as Niels Bohr Professor at the University of Copenhagen. His research interests include homotopy theory, algebraic K-theory, and arithmetic algebraic geometry.

Key takeaways

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

Reference excerpt

Lars Hesselholt (born September 25, 1966) is a Danish mathematician who works as a professor of mathematics at Nagoya University in Japan, as well as holding a temporary position as Niels Bohr Professor at the University of Copenhagen. His research interests include homotopy theory, algebraic K-theory, and arithmetic algebraic geometry. Hesselholt was born in Vejrumbro, a village in the Viborg Municipality of Denmark. He studied at Aarhus University, earning a bachelor's degree in 1988, a master's degree in 1992, and a Ph.D. in 1994; his dissertation, supervised by Ib Madsen, concerned K-theory. After postdoctoral studies at the Mittag-Leffler Institute, he joined the faculty of the Massachusetts Institute of Technology in 1994 as a C.L.E. Moore instructor, and stayed at MIT as an assistant and then associate professor, before moving to Nagoya in 2008. Hesselholt's wife is Japanese, and when he joined the Nagoya faculty he became the first westerner with a full professorship in mathematics in Japan. He is the managing editor of the Nagoya Mathematical Journal. Hesselholt became a Sloan fellow in 1998, and was an invited speaker at the International Congress of Mathematicians in 2002. In 2012, he became one of the inaugural fellows of the American Mathematical Society, and a foreign member of the Royal Danish Academy of Sciences and Letters.

References

External links Home page at Copenhagen Home page at Nagoya Google scholar profile

Illustrations

Worked examples

Example 1 — a first encounter with Lars Hesselholt

Start with the simplest possible case. Write down what Lars Hesselholt 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 Lars Hesselholt 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 Lars Hesselholt 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 Lars Hesselholt

In research: Lars Hesselholt 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 Lars Hesselholt 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: Lars Hesselholt is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1966 births, 20th-century Danish mathematicians, 21st-century Danish mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Lars Hesselholt 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 Lars Hesselholt in 20 minutes

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

Frequently asked questions

What is Lars Hesselholt in simple terms?

Why does Lars Hesselholt 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 Lars Hesselholt?

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 Lars Hesselholt.