mathematics

Mei-Chi Shaw

Mei-Chi Shaw 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 Mei-Chi Shaw rather than just read about it. In short: Mei-Chi Shaw (Chinese: 蕭美琪; pinyin: Xiāo Měiqí; born 1955) is a Taiwanese-American mathematician. She is a professor of mathematics at the University of Notre Dame.

Key takeaways

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

Reference excerpt

Mei-Chi Shaw (Chinese: 蕭美琪; pinyin: Xiāo Měiqí; born 1955) is a Taiwanese-American mathematician. She is a professor of mathematics at the University of Notre Dame. Her research concerns partial differential equations and complex analysis.

Life and career Shaw was born in Taipei, Taiwan, in 1955. She graduated from National Taiwan University with a bachelor's degree in mathematics in 1977. She then completed doctoral studies in the United States, earning her Ph.D. in mathematics from Princeton University in 1981 under Joseph Kohn. After receiving her doctorate, took a postdoctoral position at Purdue University During this time, she married her husband, Hsueh-Chia Chang. In 1983, Shaw took a tenure-track position at Texas A&M University, moving to University of Houston in 1986 and finally relocating to the University of Notre Dame in 1987, first as an associate professor and then as full professor.

Awards and honors In 2012, Shaw became a fellow of the American Mathematical Society. For 2019 she received the Stefan Bergman Prize.

Selected publications Chen, So-Chin; Shaw, Mei-Chi. Partial differential equations in several complex variables. AMS/IP Studies in Advanced Mathematics, 19. American Mathematical Society, Providence, RI; International Press, Boston, MA, 2001. xii+380 pp. ISBN 0-8218-1062-6 Shaw, Mei-Chi. L2-estimates and existence theorems for the tangential Cauchy-Riemann complex. Invent. Math. 82 (1985), no. 1, 133–150. Boas, Harold P.; Shaw, Mei-Chi Sobolev estimates for the Lewy operator on weakly pseudoconvex boundaries. Math. Ann. 274 (1986), no. 2, 221–231. Mei-Chi Shaw and Charles Stanton. “Complex Analysis in One Variable and Riemann Surfaces” Springer Graduate Textbooks in Mathematics (GTM #305) 2026. ISBN 978-3-031-93641-8

References

Worked examples

Example 1 — a first encounter with Mei-Chi Shaw

Start with the simplest possible case. Write down what Mei-Chi Shaw 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 Mei-Chi Shaw 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 Mei-Chi Shaw 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 Mei-Chi Shaw

In research: Mei-Chi Shaw 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 Mei-Chi Shaw 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: Mei-Chi Shaw is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1955 births, 20th-century American mathematicians, 20th-century American women mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Mei-Chi Shaw 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 Mei-Chi Shaw in 20 minutes

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

Frequently asked questions

What is Mei-Chi Shaw in simple terms?

Mei-Chi Shaw (Chinese: 蕭美琪; pinyin: Xiāo Měiqí; born 1955) is a Taiwanese-American mathematician. She is a professor of mathematics at the University of Notre Dame.

Why does Mei-Chi Shaw 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 Mei-Chi Shaw?

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 Mei-Chi Shaw.