mathematics

Jing Tao

Jing Tao 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 Jing Tao rather than just read about it. In short: Jing Tao is a mathematician at the University of Oklahoma, where she holds an Anadarko Petroleum Corporation Presidential Professorship. Her research interests concern low-dimensional topology and geometric group theory, including mapping class groups and Teichmüller theory.

Key takeaways

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

Reference excerpt

Jing Tao is a mathematician at the University of Oklahoma, where she holds an Anadarko Petroleum Corporation Presidential Professorship. Her research interests concern low-dimensional topology and geometric group theory, including mapping class groups and Teichmüller theory. Tao was a student of Howard Masur at the University of Illinois Chicago, where she completed her Ph.D. in 2009. Her dissertation was Linearly bounded conjugator property for mapping class groups. She joined the University of Oklahoma mathematics department in 2012, and was given the Anadarko Petroleum Corporation Presidential Professorship in 2021. She was promoted to full professor in 2022. Tao was elected as a Fellow of the American Mathematical Society, in the 2025 class of fellows.

References

External links Home page Jing Tao publications indexed by Google Scholar

Worked examples

Example 1 — a first encounter with Jing Tao

Start with the simplest possible case. Write down what Jing Tao 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 Jing Tao 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 Jing Tao 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 Jing Tao

In research: Jing Tao 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 Jing Tao 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: Jing Tao is common in secondary-school and first-year university syllabi. It links to neighbouring topics 21st-century American mathematicians, American topologists, American women mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Jing Tao 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 Jing Tao in 20 minutes

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

Frequently asked questions

What is Jing Tao in simple terms?

Why does Jing Tao 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 Jing Tao?

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 Jing Tao.