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Teruhisa Matsusaka

Teruhisa Matsusaka 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 Teruhisa Matsusaka rather than just read about it. In short: Teruhisa Matsusaka (松阪 輝久, Matsusaka Teruhisa) (1926–2006) was a Japanese-born American mathematician, who specialized in algebraic geometry. Matsusaka received his Ph.D. in 1954 at Kyoto University; he was a member of the Brandeis Mathematics Department from 1961 until his retirement in 1994, and was that department's chair from 1984–1986.

Key takeaways

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

Reference excerpt

Teruhisa Matsusaka (松阪 輝久, Matsusaka Teruhisa) (1926–2006) was a Japanese-born American mathematician, who specialized in algebraic geometry. Matsusaka received his Ph.D. in 1954 at Kyoto University; he was a member of the Brandeis Mathematics Department from 1961 until his retirement in 1994, and was that department's chair from 1984–1986. He was invited to address the International Congress of Mathematicians held in Edinburgh in 1958 and was elected to the American Academy of Arts and Sciences in 1966. During the difficult years after the Second World War, Matsusaka worked on several problems connected with Weil's Foundations of Algebraic Geometry. This led to a correspondence and eventually Weil invited Matsusaka to the University of Chicago (1954–57) where they became life-long friends. After three years at Northwestern University and a year at the Institute for Advanced Study, Princeton, he went to Brandeis University in 1961 where he stayed until 1994, helping to build the department to its current prominence. Matsusaka was awarded a Guggenheim Fellowship for the academic year 1959–1960. In 1972, Matsusaka introduced Matsusaka's big theorem, a key technical result on ample line bundles.

Selected publications Matsusaka, Teruhisa (1952). "On the algebraic construction of the Picard variety". Proc. Japan Acad. 28 (1): 5–8. doi:10.3792/pja/1195571116. MR 0048858. Matsusaka, Teruhisa (1956). "Polarized varieties, the field of moduli and generalized Kummer varieties of abelian varieties". Proc. Japan Acad. 32 (6): 367–372. doi:10.3792/pja/1195525333. MR 0079815. Matsusaka, Teruhisa (1959). "On a characterization of a Jacobian variety". Mem. College Sci. Univ. Kyoto Ser. A Math. 32 (1): 1–19. doi:10.1215/kjm/1250776695. MR 0108497. Theory of Q-varieties. Vol. 8. Mathematical society of Japan. 1964; 158 pp.{{cite book}}: CS1 maint: postscript (link) Matsusaka, T. (1972). "Polarized varieties with a given Hilbert polynomial". American Journal of Mathematics. 94 (4): 1027–1077. doi:10.2307/2373563. JSTOR 2373563. Matsusaka, T. (1974). "Global deformation of polarized varieties". Bull. Amer. Math. Soc. 80 (1): 1–7. doi:10.1090/s0002-9904-1974-13340-9. MR 0364246.

References

Worked examples

Example 1 — a first encounter with Teruhisa Matsusaka

Start with the simplest possible case. Write down what Teruhisa Matsusaka 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 Teruhisa Matsusaka 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 Teruhisa Matsusaka 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 Teruhisa Matsusaka

In research
Teruhisa Matsusaka 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 Teruhisa Matsusaka 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
Teruhisa Matsusaka is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1926 births, 2006 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Teruhisa Matsusaka 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 Teruhisa Matsusaka in 20 minutes

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

Frequently asked questions

What is Teruhisa Matsusaka in simple terms?

Teruhisa Matsusaka (松阪 輝久, Matsusaka Teruhisa) (1926–2006) was a Japanese-born American mathematician, who specialized in algebraic geometry. Matsusaka received his Ph.D. in 1954 at Kyoto University; he was a member of the Brandeis Mathematics Department from 1961 until his retirement in 1994, and…

Why does Teruhisa Matsusaka 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 Teruhisa Matsusaka?

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 Teruhisa Matsusaka.

Tags

  • 1926 births
  • 2006 deaths
  • 20th-century American mathematicians
  • 20th-century Japanese mathematicians
  • 21st-century American mathematicians
  • 21st-century Japanese mathematicians
  • Algebraic geometers
  • American academics of Japanese descent
  • Brandeis University faculty
  • Japanese emigrants to the United States
  • Kyoto University alumni

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