mathematics

Horst Knörrer

Horst Knörrer 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 Horst Knörrer rather than just read about it. In short: Horst Knörrer (born 31 July 1953, in Bayreuth) is a German mathematician who studies algebraic geometry and mathematical physics. Knörrer studied from 1971 at University of Regensburg and University of Erlangen-Nuremberg and received a doctorate in 1978 from the University of Bonn under the supervision of Egbert Brieskorn (Isolierte Singularitäten von Durchschnitten zweier Quadriken).

Key takeaways

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

Reference excerpt

Horst Knörrer (born 31 July 1953, in Bayreuth) is a German mathematician who studies algebraic geometry and mathematical physics. Knörrer studied from 1971 at University of Regensburg and University of Erlangen-Nuremberg and received a doctorate in 1978 from the University of Bonn under the supervision of Egbert Brieskorn (Isolierte Singularitäten von Durchschnitten zweier Quadriken). After that, he was a research assistant until 1985 in Bonn, interrupted by two years 1980 to 1982 at the Leiden University. In 1985 he completed his habilitation in Bonn and was a Heisenberg fellow the following two years. During 1986/87, he was a department representative at the University of Düsseldorf. Since 1987, he is a full professor of mathematics at the ETH Zurich. Knörrer studies algebraic geometry and its connection to mathematical physics, for example, for integrable systems, as well as mathematical theory of many-particle systems in statistical mechanics and solid state physics (Fermi liquids). Together with Brieskorn, he wrote an extensive and rich illustrated textbook on algebraic curves, which also was translated into English.

Writings Brieskorn, Egbert; Knörrer, Horst (1986). Plane algebraic curves. Basel: Birkhäuser Verlag. ISBN 3-7643-1769-8. OCLC 13859507. Knörrer, Horst (2006). Geometrie ein Lehrbuch für Mathematik- und Physikstudierende (in German). Wiesbaden. ISBN 978-3-8348-0210-1. OCLC 255407076.{{cite book}}: CS1 maint: location missing publisher (link) Bättig, D.; Knörrer, H. (1991). Singularitäten. Basel. ISBN 978-3-0348-8657-4. OCLC 913664195.{{cite book}}: CS1 maint: location missing publisher (link) Feldman, Joel S.; Knörrer, Horst; Trubowitz, Eugene (1996). Riemann surfaces of infinite genus: IV: the Kadomcev Petviashvilli equation (Report). ETH Zurich. doi:10.3929/ETHZ-A-004352755. hdl:20.500.11850/146387. Retrieved 24 November 2022. Feldman, Joel S.; Knörrer, Horst; Trubowitz, Eugene (2002). Fermionic functional integrals and the renormalization group. Providence, R.I.: American Mathematical Society. ISBN 0-8218-2878-9. OCLC 49493166. Gieseker, D.; Knörrer, Horst; Trubowitz, Eugene (1992). The geometry of algebraic Fermi curves. Boston: Academic Press. ISBN 0-12-282620-5. OCLC 26304543.

References The original article was a translation of the corresponding German article.

External links Homepage an der ETH Literature by and about Horst Knörrer in the German National Library catalogue

Illustrations

Worked examples

Example 1 — a first encounter with Horst Knörrer

Start with the simplest possible case. Write down what Horst Knörrer 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 Horst Knörrer 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 Horst Knörrer 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 Horst Knörrer

In research: Horst Knörrer 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 Horst Knörrer 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: Horst Knörrer is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1953 births, 20th-century German mathematicians, 21st-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Horst Knörrer 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 Horst Knörrer in 20 minutes

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

Frequently asked questions

What is Horst Knörrer in simple terms?

Why does Horst Knörrer 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 Horst Knörrer?

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 Horst Knörrer.