mathematics

Reinhardt Kiehl

Reinhardt Kiehl 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 Reinhardt Kiehl rather than just read about it. In short: Reinhardt Kiehl (31 May 1935 – 26 January 2026) was a German mathematician. Early life and education Kiehl was born in Herne, North Rhine-Westphalia on 31 May 1935.

Key takeaways

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

Reference excerpt

Reinhardt Kiehl (31 May 1935 – 26 January 2026) was a German mathematician.

Early life and education Kiehl was born in Herne, North Rhine-Westphalia on 31 May 1935. From 1955, he studied mathematics, physics and astronomy at the University of Göttingen and the University of Heidelberg. He received in 1965 his Ph.D. (promotion) under Friedrich Karl Schmidt at Heidelberg University with thesis Äquivalenzrelationen in analytischen Räumen.

Career From 1966 to 1968, he was a research assistant and in 1968–1969 a docent at the University of Münster, where he received his habilitation in 1968. From 1969 to 1972, he was a professor ordinarius at the Goethe-Universität Frankfurt am Main. From 1972, he was a professor ordinarius at the University of Mannheim and retired in 2003 as professor emeritus.

Research His research deals with algebraic and arithmetic geometry and non-archimedean function theory. He wrote a textbook on the Weil conjectures and étale cohomology with Eberhard Freitag. In 1970 Kiehl was an Invited Speaker at the ICM in Nice, France with Hans Grauert, Kohärenzsätze für stetige und differenzierbare Familien komplexer Räume.

Death Kiehl died on 26 January 2026, at the age of 90.

Selected publications with Eberhard Freitag: Etale Cohomology and the Weil Conjecture, Springer Verlag 1988 with Rainer Weissauer: Weil Conjectures, Perverse Sheaves and ℓ-adic Fourier Transform, Springer Verlag 2001 De Rham Kohomologie algebraischer Mannigfaltigkeiten über einem bewerteten Körper, Pub. Math. IHES, vol. 33, 1967, pp. 5–20, Online Der Endlichkeitssatz für eigentliche Abbildungen in der nichtarchimedischen Funktionentheorie, Inventiones Mathematicae, vol. 2, 1967, pp. 191–214 Theorem A und B in der nichtarchimedischen Funktionentheorie, Inventiones Mathematicae, vol. 2, 1967, pp. 256–273 Ausgezeichnete Ringe in der nichtarchimedischen analytischen Geometrie, J. Reine Angewandte Mathematik, vol. 235, 1969, p. 89 mit Jean-Louis Verdier Ein einfacher Beweis des Kohärenzsatzes von Grauert, Mathematische Annalen, Band 195, 1971, pp. 24–50 Äquivalenzrelationen in analytischen Räumen, Mathematische Zeitschrift, vol. 105, 1968, pp. 1–20 Relativ analytische Räume, Inventiones Mathematicae, vol. 16, 1972, pp. 40–112

References

Worked examples

Example 1 — a first encounter with Reinhardt Kiehl

Start with the simplest possible case. Write down what Reinhardt Kiehl 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 Reinhardt Kiehl 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 Reinhardt Kiehl 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 Reinhardt Kiehl

In research: Reinhardt Kiehl 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 Reinhardt Kiehl 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: Reinhardt Kiehl is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1935 births, 2026 deaths, 20th-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Reinhardt Kiehl 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 Reinhardt Kiehl in 20 minutes

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

Frequently asked questions

What is Reinhardt Kiehl in simple terms?

Reinhardt Kiehl (31 May 1935 – 26 January 2026) was a German mathematician. Early life and education Kiehl was born in Herne, North Rhine-Westphalia on 31 May 1935.

Why does Reinhardt Kiehl 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 Reinhardt Kiehl?

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 Reinhardt Kiehl.