mathematics

Mathias Schacht

Mathias Schacht 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 Mathias Schacht rather than just read about it. In short: Mathias Schacht (born 1977) is a German mathematician who specializes in graph theory. Schacht earned a diploma in business mathematics in 1999 from Technische Universität Berlin.

Key takeaways

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

Reference excerpt

Mathias Schacht (born 1977) is a German mathematician who specializes in graph theory. Schacht earned a diploma in business mathematics in 1999 from Technische Universität Berlin. He did his graduate studies at Emory University, completing a PhD in 2004 under the supervision of Vojtěch Rödl. His dissertation, on hypergraph generalizations of the Szemerédi regularity lemma, won the 2006 Richard Rado Prize of the German Mathematical Society. He worked at the Humboldt University of Berlin as a postdoctoral researcher and acting professor from 2004 until 2009, when he moved to the University of Hamburg. He received his habilitation from Humboldt University in 2010, and has been Heisenberg Professor at the University of Hamburg from 2010 to 2015. In 2012, Schacht and Rödl won the George Pólya Prize of the Society for Industrial and Applied Mathematics for their research on hypergraph regularity.

References

Worked examples

Example 1 — a first encounter with Mathias Schacht

Start with the simplest possible case. Write down what Mathias Schacht 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 Mathias Schacht 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 Mathias Schacht 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 Mathias Schacht

In research: Mathias Schacht 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 Mathias Schacht 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: Mathias Schacht is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1977 births, 21st-century German mathematicians, Academic staff of the Humboldt University of Berlin, so understanding it makes those chapters shorter.
In everyday life: Look for Mathias Schacht 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 Mathias Schacht in 20 minutes

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

Frequently asked questions

What is Mathias Schacht in simple terms?

Mathias Schacht (born 1977) is a German mathematician who specializes in graph theory. Schacht earned a diploma in business mathematics in 1999 from Technische Universität Berlin.

Why does Mathias Schacht 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 Mathias Schacht?

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 Mathias Schacht.