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Wei-Liang Chow

Wei-Liang Chow 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 Wei-Liang Chow rather than just read about it. In short: Chow Wei-Liang (simplified Chinese: 周炜良; traditional Chinese: 周煒良; pinyin: Zhōu Wěiliáng; Wade–Giles: Chou Weiliang; October 1, 1911, Shanghai – August 10, 1995, Baltimore) was a Chinese-American mathematician and stamp collector. He was well known for his work in algebraic geometry.

Wei-Liang Chow — main illustration
Wei-Liang Chow — illustration

Key takeaways

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

Reference excerpt

Chow Wei-Liang (simplified Chinese: 周炜良; traditional Chinese: 周煒良; pinyin: Zhōu Wěiliáng; Wade–Giles: Chou Weiliang; October 1, 1911, Shanghai – August 10, 1995, Baltimore) was a Chinese-American mathematician and stamp collector. He was well known for his work in algebraic geometry.

Biography Chow was a student in the US, graduating from the University of Chicago in 1931. In 1932 he attended the University of Göttingen, then transferred to the Leipzig University where he worked with Van der Waerden. They produced a series of joint papers on intersection theory, introducing in particular the use of what are now generally called Chow coordinates (which were in some form familiar to Arthur Cayley). He married Margot Victor in 1936, and took a position at the National Central University in Nanjing. His mathematical work was seriously affected by the wartime situation in China. He taught at the National Tung-Chi University in Shanghai in the academic year 1946–47, and then went to the Institute for Advanced Study in Princeton, where he returned to his research. From 1948 to 1977 he was a professor at Johns Hopkins University. He was also a stamp collector, known for his book Shanghai Large Dragons, The First Issue of The Shanghai Local Post, published in 1996.

Research According to the Chinese-American mathematician and Wolf Prize laureate Shiing-Shen Chern, "Wei-Liang was an original and versatile mathematician, although his major field was algebraic geometry. He made several fundamental contributions to mathematics:

A fundamental issue in algebraic geometry is intersection theory. The Chow ring has many advantages and is widely used. The Chow associated forms give a description of the moduli space of the algebraic varieties in projective space. It gives a beautiful solution of an important problem. His theorem that a compact analytic variety in a projective space is algebraic is justly famous. The theorem shows the close analogy between algebraic geometry and algebraic number theory. Generalizing a result of Caratheodory on thermodynamics, he formulated a theorem on accessibility of differential spaces. The theorem plays a fundamental role in control theory. A lesser-known paper of his on homogeneous spaces gives a beautiful treatment of the geometry known as the projective geometry of matrices and treated by elaborate calculations. His discussions are valid in a more general context."

See also Chow's lemma Chow's moving lemma Chow's theorem Chow ring Chow–Rashevskii theorem

References

External links O'Connor, John J.; Robertson, Edmund F., "Wei-Liang Chow", MacTutor History of Mathematics Archive, University of St Andrews Wilson, W. Stephen; Chern, S. S.; Abhyankar, Shreeram S.; Lang, Serge; Igusa, Jun-ichi (October 1996). "Wei-Liang Chow" (PDF). Notices of the American Mathematical Society. 43 (10): 1117–1124. Wei-Liang Chow at the Mathematics Genealogy Project Catalog listing for Shanghai Large Dragons, The First Issue of The Shanghai Local Post

Worked examples

Example 1 — a first encounter with Wei-Liang Chow

Start with the simplest possible case. Write down what Wei-Liang Chow 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 Wei-Liang Chow 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 Wei-Liang Chow 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 Wei-Liang Chow

In research
Wei-Liang Chow 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 Wei-Liang Chow 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
Wei-Liang Chow is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1911 births, 1995 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Wei-Liang Chow 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 Wei-Liang Chow in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Wei-Liang Chow 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 Wei-Liang Chow out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Wei-Liang Chow in simple terms?

Chow Wei-Liang (simplified Chinese: 周炜良; traditional Chinese: 周煒良; pinyin: Zhōu Wěiliáng; Wade–Giles: Chou Weiliang; October 1, 1911, Shanghai – August 10, 1995, Baltimore) was a Chinese-American mathematician and stamp collector. He was well known for his work in algebraic geometry.

Why does Wei-Liang Chow 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 Wei-Liang Chow?

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 Wei-Liang Chow.

Tags

  • 1911 births
  • 1995 deaths
  • 20th-century American mathematicians
  • 20th-century Chinese mathematicians
  • Academic staff of Tongji University
  • Algebraic geometers
  • Chinese emigrants to the United States
  • Educators from Shanghai
  • Johns Hopkins University faculty
  • Leipzig University alumni
  • Mathematicians from Shanghai
  • University of Chicago alumni

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