mathematics

Xu-Jia Wang

Xu-Jia Wang 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 Xu-Jia Wang rather than just read about it. In short: Xu-Jia Wang (Chinese: 汪徐家; pinyin: Wāng Xújiā; born September 1963) is a Chinese-Australian mathematician. He is a professor of mathematics at the Australian National University and a fellow of the Australian Academy of Science.

Key takeaways

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

Reference excerpt

Xu-Jia Wang (Chinese: 汪徐家; pinyin: Wāng Xújiā; born September 1963) is a Chinese-Australian mathematician. He is a professor of mathematics at the Australian National University and a fellow of the Australian Academy of Science. He joined Westlake University in Hangzhou, China, in September 2024 as a full-time Chair Professor of Mathematics.

Biography Wang was born in Chun'an County, Zhejiang. He earned his Bachelor of Science in mathematics in 1983 and his Ph.D. in mathematics in 1990 from Zhejiang University. After completing his PhD, Wang served as lecturer and associate professor, at ZJU before departing for ANU In 1995. Wang was a research fellow until 2005, becoming a Professor in the Centre for Mathematics and its Applications and Mathematical Sciences Institute of Australian National University. Wang is well known for his work on differential equations, especially non-linear partial differential equations and their geometrical and transportational applications.

Honors and awards Australian Mathematical Society Medal (2002) invited speaker, 2002 International Congress of Mathematicians Morningside Gold Medal of Mathematics, 2007 Fellow of the Australian Academy of Science (2009). Australian Laureate Fellowship (2013)

Publications (selected) Wang, Xu-Jia (2011). "Convex solutions to the mean curvature flow". Annals of Mathematics. 173 (3): 1185–1239. arXiv:math/0404326. doi:10.4007/annals.2011.173.3.1. (with Aram Karakhanyan) Karakhanyan, Aram; Wang, Xu-Jia (2010). "On the reflector shape design". Journal of Differential Geometry. 84 (3): 561–610. doi:10.4310/jdg/1279114301. (with Guji Tian) Tian, Gu-Ji; Wang, Xu-Jia (2010). "Moser-Trudinger type inequalities for the Hessian equation". Journal of Functional Analysis. 259 (8): 1974–2002. doi:10.1016/j.jfa.2010.06.009. See also: Hessian equation (with Kai-Seng Chou) Chou, Kai-Seng; Wang, Xu-Jia (2006). "The Lp-Minkowski problem and the Minkowski problem in centroaffine geometry". Advances in Mathematics. 205 (1): 33–83. doi:10.1016/j.aim.2005.07.004. hdl:1885/28586. Wang, Xu-Jia (2006). "Schauder estimates for elliptic and parabolic equations". Chinese Annals of Mathematics, Series B. 27 (6): 637–642. doi:10.1007/s11401-006-0142-3. hdl:1885/28861. (with Neil Trudinger) Trudinger, Neil; Wang, Xu-Jia (2005). "The affine Plateau problem". Journal of the American Mathematical Society. 18 (2): 253–289. doi:10.1090/S0894-0347-05-00475-3. (with Neil Trudinger and Xi-Nan Ma) Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia (2005). "Regularity of Potential Functions of the Optimal Transportation Problem". Archive for Rational Mechanics and Analysis. 177 (2): 151–183. Bibcode:2005ArRMA.177..151M. doi:10.1007/s00205-005-0362-9. (with Xiaohua Zhu) Wang, Xu-Jia; Zhu, Xiaohua (2004). "Kähler-Ricci solitons on toric manifolds with positive first Chern class". Advances in Mathematics. 188 (1): 87–103. doi:10.1016/j.aim.2003.09.009.

References

External links Xu-Jia Wang's homepage at ANU The Australian Mathematical Society Medal Archived 10 December 2009 at the Wayback Machine 浙大数学博士汪徐家当选为澳大利亚科学院院士 (in Chinese) The Australian Academy of Science Archived 26 April 2009 at the Wayback Machine

Worked examples

Example 1 — a first encounter with Xu-Jia Wang

Start with the simplest possible case. Write down what Xu-Jia Wang 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 Xu-Jia Wang 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 Xu-Jia Wang 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 Xu-Jia Wang

In research: Xu-Jia Wang 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 Xu-Jia Wang 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: Xu-Jia Wang is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1963 births, 20th-century Chinese mathematicians, 21st-century Chinese mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Xu-Jia Wang 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 Xu-Jia Wang in 20 minutes

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

Frequently asked questions

What is Xu-Jia Wang in simple terms?

Why does Xu-Jia Wang 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 Xu-Jia Wang?

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 Xu-Jia Wang.