mathematics

László Lempert

László Lempert 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 László Lempert rather than just read about it. In short: László Lempert (4 June 1952, in Budapest) is a Hungarian-American mathematician, working in several complex variables and complex geometry. He proved that the Carathéodory and Kobayashi distances agree on convex domains.

Key takeaways

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

Reference excerpt

László Lempert (4 June 1952, in Budapest) is a Hungarian-American mathematician, working in several complex variables and complex geometry. He proved that the Carathéodory and Kobayashi distances agree on convex domains. He further proved that a compact, strictly pseudoconvex real analytic hypersurface can be embedded into the unit sphere of a Hilbert space.

Life Lempert graduated from the Eötvös Loránd University in 1975. He was at the Analysis Department of the same university (1977–1988) and is a professor of Purdue University since 1988. He was a visiting research fellow at the Université de Paris VII (1979–1980), visiting lecturer at the Princeton University (1984–1985), and visiting professor at the Eötvös Loránd University (1994–1995).

Degrees, awards Lempert received the Candidate of the mathematical sciences degree from the Hungarian Academy of Sciences in 1984. He was an invited session speaker at the International Congress of Mathematicians, in Berkeley, California, 1986. He won the Stefan Bergman Prize in 2001. He was elected an external member of the Hungarian Academy of Sciences (2004). In 2012 he became a fellow of the American Mathematical Society.

References

External links Lempert and Webster receive 2001 Bergman Prize, Notices of the American Mathematical Society, 48(2001), 998–999.

Worked examples

Example 1 — a first encounter with László Lempert

Start with the simplest possible case. Write down what László Lempert 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 László Lempert 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 László Lempert 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 László Lempert

In research: László Lempert 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 László Lempert 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: László Lempert is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1952 births, 20th-century American mathematicians, 20th-century Hungarian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for László Lempert 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 László Lempert in 20 minutes

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

Frequently asked questions

What is László Lempert in simple terms?

Why does László Lempert 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 László Lempert?

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 László Lempert.