mathematics

Takashi Ono (mathematician)

Takashi Ono (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 Takashi Ono (mathematician) rather than just read about it. In short: Takashi Ono (小野孝, Ono Takashi; 18 December 1928 – 11 January 2026) was a Japanese-born American mathematician, specializing in number theory and algebraic groups. Early life and education Ono was born in Nishinomiya, Japan, on 18 December 1928.

Key takeaways

Takashi Ono (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 Takashi Ono (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Takashi Ono (mathematician) from memory before moving on to harder problems.

Reference excerpt

Takashi Ono (小野孝, Ono Takashi; 18 December 1928 – 11 January 2026) was a Japanese-born American mathematician, specializing in number theory and algebraic groups.

Early life and education Ono was born in Nishinomiya, Japan, on 18 December 1928. He received his Ph.D. in 1958 at Nagoya University.

Career Ono immigrated to the United States after receiving an invitation from J. Robert Oppenheimer to work at the Institute for Advanced Study with a fellowship for the two academic years from 1959 to 1961 and then went to the University of British Columbia to work as an assistant professor of mathematics from 1961 to 1964. From 1964 to 1969 Ono was a tenured professor at the University of Pennsylvania. From 1969 to his retirement in 2011, he was a professor at Johns Hopkins University. In 1966 he was an invited speaker at the International Congress of Mathematicians in Moscow. In 2012 he was elected a Fellow of the American Mathematical Society.

Personal life and death Ono's youngest son, Ken Ono, is also a mathematician and professor at the University of Virginia as well as a former triathlete. His middle son, Santa J. Ono, served as the 15th President of the University of Michigan (previously the President and Vice-Chancellor of the University of British Columbia) and is a biomedical researcher. His eldest son, Momoro Ono, is a music professor at Creighton University. Ono died on 11 January 2026, at the age of 97.

Selected publications 1959: Ono, Takashi (1959). "On some arithmetic properties of linear algebraic groups". Annals of Mathematics. 70 (2): 266–290. doi:10.2307/1970104. JSTOR 1970104. 1961: Ono, Takashi (1961). "Arithmetic of algebraic tori". Annals of Mathematics. 74 (1): 101–139. doi:10.2307/1970307. JSTOR 1970307. 1963: Ono, Takashi (1963). "On the Tamagawa number of algebraic tori". Annals of Mathematics. 7 8 (1): 47–73. doi:10.2307/1970502. JSTOR 1970502. 1964: Ono, Takashi (1964). "On the relative theory of Tamagawa numbers". Bulletin of the American Mathematical Society. 70 (2): 325–326. doi:10.1090/s0002-9904-1964-11140-x. MR 0156856. 1965: Ono, Takashi (1965). "On the relative theory of Tamagawa numbers". Annals of Mathematics. 82 (1): 88–111. doi:10.2307/1970563. JSTOR 1970563. 1965: Ono, Takashi (1965). "The Gauss-Bonnet theorem and the Tamagawa number". Bulletin of the American Mathematical Society. 71 (2): 345–348. doi:10.1090/s0002-9904-1965-11290-3. MR 0176986. 1969: Ono, Takashi (1969). "On Gaussian sums". Bulletin of the American Mathematical Society. 75 (7): 43–45. doi:10.1090/s0002-9904-1969-12139-7. MR 0245547. PMC 220918. PMID 16590967. 1969: Ono, Takashi (1966). "On algebraic groups and discontinuous groups". Nagoya Mathematical Journal. 27 (Pt 1): 279–322. doi:10.1017/S002776300001206X. MR 0199193. Zbl 0166.29802. 1990: An Introduction to Algebraic Number Theory. Plenum Publishers., Ono, Takashi (6 December 2012). 2nd edition. Springer. ISBN 9781461305736. 1994: Variations on a Theme of Euler: Quadratic Forms, Elliptic Curves and Hopf Maps. Plenum. 1994. ISBN 9780306447891. 2008: Gauss sums and Poincaré sums (in Japanese). Nippon Hyoron Sha.

References

External links Takashi Ono at Department of Mathematics, Johns Hopkins University Conrad, Brian; Ono, Ken; Tsimerman, Jacob (August 2026). "A Legacy in Number Theory: A Tribute to Takashi Ono" (PDF). Notices of the American Mathematical Society. 73 (7): 553–557.

Worked examples

Example 1 — a first encounter with Takashi Ono (mathematician)

Start with the simplest possible case. Write down what Takashi Ono (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 Takashi Ono (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 Takashi Ono (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 Takashi Ono (mathematician)

In research: Takashi Ono (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 Takashi Ono (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: Takashi Ono (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1928 births, 2026 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Takashi Ono (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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Takashi Ono (mathematician)” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Takashi Ono (mathematician) in 20 minutes

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

Frequently asked questions

What is Takashi Ono (mathematician) in simple terms?

Takashi Ono (小野孝, Ono Takashi; 18 December 1928 – 11 January 2026) was a Japanese-born American mathematician, specializing in number theory and algebraic groups. Early life and education Ono was born in Nishinomiya, Japan, on 18 December 1928.

Why does Takashi Ono (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 Takashi Ono (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 Takashi Ono (mathematician).