mathematics

Shihoko Ishii

Shihoko Ishii 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 Shihoko Ishii rather than just read about it. In short: Shihoko Ishii (Japanese: 石井志保子, born 1950) is a Japanese mathematician and professor at the University of Tokyo. Her research area is algebraic geometry.

Key takeaways

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

Reference excerpt

Shihoko Ishii (Japanese: 石井志保子, born 1950) is a Japanese mathematician and professor at the University of Tokyo. Her research area is algebraic geometry.

Education Ishii received her bachelor's degree from Tokyo Women's Christian University in 1973 and her master's degree from Waseda University in 1975. She later earned her PhD from Tokyo Metropolitan University in 1983.

Research Ishii's research focuses on singularity theory. She studies arc spaces, a mathematical concept related to jets: arc spaces are varieties encapsulating information about curves on another variety.

Awards and honours Ishii received the Saruhashi Prize for accomplishments by a Japanese woman researcher in the natural sciences in 1995. As a postdoc, Ishii was inspired by reading a profile of Fumiko Yonezawa, a physicist and former winner of the Saruhashi prize. Ishii received the Algebra Prize from the Mathematical Society of Japan in 2011. In 2022, she became a laureate of the Asian Scientist 100 by the Asian Scientist.

References

Illustrations

Worked examples

Example 1 — a first encounter with Shihoko Ishii

Start with the simplest possible case. Write down what Shihoko Ishii 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 Shihoko Ishii 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 Shihoko Ishii 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 Shihoko Ishii

In research: Shihoko Ishii 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 Shihoko Ishii 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: Shihoko Ishii is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1950 births, Academic staff of the University of Tokyo, Algebraic geometers, so understanding it makes those chapters shorter.
In everyday life: Look for Shihoko Ishii 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 Shihoko Ishii in 20 minutes

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

Frequently asked questions

What is Shihoko Ishii in simple terms?

Shihoko Ishii (Japanese: 石井志保子, born 1950) is a Japanese mathematician and professor at the University of Tokyo. Her research area is algebraic geometry.

Why does Shihoko Ishii 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 Shihoko Ishii?

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 Shihoko Ishii.