mathematics

Tian Ye (mathematician)

Tian Ye (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 Tian Ye (mathematician) rather than just read about it. In short: Tian Ye or Ye Tian (Chinese: 田野; born November 1971) is a Chinese mathematician known for his research in number theory and arithmetic geometry. He is a professor of mathematics at the Chinese Academy of Sciences and is the deputy director of its Morningside Center of Mathematics.

Key takeaways

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

Reference excerpt

Tian Ye or Ye Tian (Chinese: 田野; born November 1971) is a Chinese mathematician known for his research in number theory and arithmetic geometry. He is a professor of mathematics at the Chinese Academy of Sciences and is the deputy director of its Morningside Center of Mathematics.

Early life and education Tian Ye was born in Neijiang, Sichuan, China in November 1971. From 1989 to 1996, he studied at Sichuan University where he received his B.S. and M.S. He received his Ph.D. in mathematics under Shou-Wu Zhang at Columbia University in 2003. He was a member at the Institute for Advanced Study from 2003 to 2004.

Career Tian was a post-doctoral researcher at McGill University from 2004 to 2006. He has been a professor at the Chinese Academy of Sciences since 2006. He is the deputy director of the Morningside Center of Mathematics.

Awards and honors Tian received the ICTP Ramanujan Prize (2013) and the Morningside Medal (Silver 2007, Gold 2013). He was elected a member of the Chinese Academy of Sciences in 2023. He was an invited speaker at the International Congress of Mathematicians in 2022.

Selected publications Burungale, Ashay; Tian, Ye (2020). "p-converse to a theorem of Gross–Zagier, Kolyvagin and Rubin". Inventiones Mathematicae. 220 (1): 211–253.. Diaconu, Adrian; Tian, Ye (2005), "Twisted Fermat curves over totally real fields", Annals of Mathematics, Second Series, 162 (3): 1353–1376, arXiv:0706.0470, doi:10.4007/annals.2005.162.1353, JSTOR 20159945, MR 2179733, S2CID 15523427. Li, Jian-Shu; Sun, Binyong; Tian, Ye (2011), "The multiplicity one conjecture for local theta correspondences" (PDF), Inventiones Mathematicae, 184 (1): 117–124, Bibcode:2011InMat.184..117L, doi:10.1007/s00222-010-0287-2, MR 2782253, S2CID 122139021. Tian, Ye (2014), "Congruent numbers and Heegner points", Cambridge Journal of Mathematics, 2 (1): 117–161, arXiv:1210.8231, doi:10.4310/CJM.2014.v2.n1.a4, MR 3272014, S2CID 55390076.

References

Worked examples

Example 1 — a first encounter with Tian Ye (mathematician)

Start with the simplest possible case. Write down what Tian Ye (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 Tian Ye (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 Tian Ye (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 Tian Ye (mathematician)

In research: Tian Ye (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 Tian Ye (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: Tian Ye (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1971 births, Arithmetic geometers, Chinese mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Tian Ye (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.

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How to study Tian Ye (mathematician) in 20 minutes

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

Frequently asked questions

What is Tian Ye (mathematician) in simple terms?

Why does Tian Ye (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 Tian Ye (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 Tian Ye (mathematician).