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Werner Müller (mathematician)

Werner Müller (mathematician) 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 Werner Müller (mathematician) rather than just read about it. In short: Werner Müller (born 7 September 1949) is a German mathematician. His research focuses on global analysis and automorphic forms.

Werner Müller (mathematician) — main illustration
Werner Müller (mathematician) — illustration

Key takeaways

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

Reference excerpt

Werner Müller (born 7 September 1949) is a German mathematician. His research focuses on global analysis and automorphic forms.

Biography Werner Müller grew up in the German Democratic Republic (East Germany). He studied mathematics at the Humboldt University of Berlin in East Berlin. In 1977 he completed his PhD under the supervision of Herbert Kurke. In his thesis, Analytische Torsion Riemannscher Mannigfaltigkeiten, he solved, at the same time as but independently of Jeff Cheeger, the Ray–Singer conjecture on the equality between analytic torsion and Reidemeister torsion. Thereafter he moved to the Karl-Weierstraß-Institut für Mathematik of the Academy of Sciences of the GDR. After the reunion of Germany he spent some time at the Max Planck Institute for Mathematics in Bonn. Since 1994 he is professor at the Mathematics Institute of the University of Bonn. He is the successor on the chair of Friedrich Hirzebruch. He has supervised 12 doctoral students, including Maryna Viazovska. Together with Jeff Cheeger, he has been awarded the Max-Planck-Forschungspreis in 1991 . The Cheeger–Müller theorem on the analytic torsion of Riemannian manifolds is named after them.

Important Papers Müller, Werner (1978). "Analytic torsion and R {\displaystyle R} -torsion of Riemannian manifolds". Advances in Mathematics. 28 (3): 233–305. doi:10.1016/0001-8708(78)90116-0. Muller, Werner (1989). "The trace class conjecture in the theory of automorphic forms". Annals of Mathematics. Second Series. 130 (3): 473–529. doi:10.2307/1971453. JSTOR 1971453.

References

External links [1]—Conference in honor of his 60. birthday at the Hausdorff Center for Mathematics in Bonn [2]—Conference in honor of his 60. birthday at the Hebrew University Jerusalem Personal Homepage, Bonn University Werner Müller at the Mathematics Genealogy Project

Illustrations

Werner Müller (mathematician): Müller at Oberwolfach, 2010
Müller at Oberwolfach, 2010

Worked examples

Example 1 — a first encounter with Werner Müller (mathematician)

Start with the simplest possible case. Write down what Werner Müller (mathematician) 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 Werner Müller (mathematician) 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 Werner Müller (mathematician) 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 Werner Müller (mathematician)

In research
Werner Müller (mathematician) 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 Werner Müller (mathematician) 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
Werner Müller (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1949 births, 20th-century German mathematicians, 21st-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Werner Müller (mathematician) 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 Werner Müller (mathematician) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Werner Müller (mathematician) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Werner Müller (mathematician) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Werner Müller (mathematician) in simple terms?

Werner Müller (born 7 September 1949) is a German mathematician. His research focuses on global analysis and automorphic forms.

Why does Werner Müller (mathematician) 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 Werner Müller (mathematician)?

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 Werner Müller (mathematician).

Tags

  • 1949 births
  • 20th-century German mathematicians
  • 21st-century German mathematicians
  • Differential geometers
  • Humboldt University of Berlin alumni
  • Living people

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