mathematics

Uwe Storch

Uwe Storch 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 Uwe Storch rather than just read about it. In short: Uwe Storch (born 12 July 1940, Leopoldshall– Lanzarote, 17 September 2017) was a German mathematician. His field of research was commutative algebra, and analytic and algebraic geometry, in particular derivations, divisor class group, and resultants.

Key takeaways

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

Reference excerpt

Uwe Storch (born 12 July 1940, Leopoldshall– Lanzarote, 17 September 2017) was a German mathematician. His field of research was commutative algebra, and analytic and algebraic geometry, in particular derivations, divisor class group, and resultants. Storch studied mathematics, physics, and mathematical logic at the University of Münster and Heidelberg University. He got his PhD in 1966 under the supervision of Heinrich Behnke with a thesis on almost (or Q) factorial rings. He did his Habilitation in 1972 in Bochum and became a professor at the University of Osnabrück in 1974. From 1981 to 2006, when he became emeritus, he was a professor for algebra and geometry at Ruhr University Bochum. He was married and had four sons.

Theorem of Eisenbud–Evans–Storch The Theorem of Eisenbud-Evans-Storch states that every algebraic variety in n-dimensional affine space is given geometrically (i.e. up to radical) by n polynomials.

Selected publications Günther Scheja and Uwe Storch, Lehrbuch der Algebra, 2 volumes, Stuttgart 1980 (1st edition was in 3 volumes), 1988. Uwe Storch and Hartmut Wiebe, Lehrbuch der Mathematik, 4 volumes.

References

External links Uwe Storch at the Mathematics Genealogy Project

Illustrations

Worked examples

Example 1 — a first encounter with Uwe Storch

Start with the simplest possible case. Write down what Uwe Storch 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 Uwe Storch 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 Uwe Storch 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 Uwe Storch

In research: Uwe Storch 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 Uwe Storch 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: Uwe Storch is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1940 births, 2017 deaths, 20th-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Uwe Storch 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 Uwe Storch in 20 minutes

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

Frequently asked questions

What is Uwe Storch in simple terms?

Why does Uwe Storch 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 Uwe Storch?

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 Uwe Storch.