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Sun-Yung Alice Chang

Sun-Yung Alice Chang 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 Sun-Yung Alice Chang rather than just read about it. In short: Sun-Yung Alice Chang (Chinese: 張聖容; pinyin: Zhāng Shèngróng, Hakka: Chông Sṳn-yùng, [t͡soŋ sɨn juŋ]; born 1948) is a Taiwanese-American mathematician specializing in aspects of mathematical analysis ranging from harmonic analysis and partial differential equations to differential geometry. She is the Eugene Higgins Professor of Mathematics at Princeton University.

Sun-Yung Alice Chang — main illustration
Sun-Yung Alice Chang — illustration

Key takeaways

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

Reference excerpt

Sun-Yung Alice Chang (Chinese: 張聖容; pinyin: Zhāng Shèngróng, Hakka: Chông Sṳn-yùng, [t͡soŋ sɨn juŋ]; born 1948) is a Taiwanese-American mathematician specializing in aspects of mathematical analysis ranging from harmonic analysis and partial differential equations to differential geometry. She is the Eugene Higgins Professor of Mathematics at Princeton University.

Life Chang was born in Xian, China, in 1948 and grew up in Taiwan. She received her Bachelor of Science (B.S.) degree in 1970 from National Taiwan University and her Ph.D. in 1974 from the University of California, Berkeley. At Berkeley, Chang wrote her thesis on the study of bounded analytic functions. Chang became a full professor at UCLA in 1980 before moving to Princeton in 1998.

Career and research Chang's research interests include the study of geometric types of nonlinear partial differential equations and problems in isospectral geometry. Working with her husband Paul Yang and others, she produced contributions to differential equations in relation to geometry and topology. She teaches at Princeton University as of 1998. Before that, she held visiting positions at University of California-Berkeley; Institute for Advanced Study, Princeton, N.J.; and Swiss Federal Institute of Technology, Zurich, Switzerland. She served at Swiss Federal Institute of Technology as a visiting professor in 2015.

In 2004, she was interviewed by Yu Kiang Leong for Creative Minds, Charmed Lives: Interviews at Institute for Mathematical Sciences, National University of Singapore, and she declared:«In the mathematical community, we should leave room for people who want to do work in their own way. Mathematical research is not just a scientific approach; the nature of mathematics is sometimes close to that of art. Some people want individual character and an individual way of working things out. They should be appreciated too. There should be room for single research and collaborative research». Chang's life was profiled in the 2017 documentary film Girls who fell in love with Math.

Service and honors Sloan Foundation Research Fellowship, 1979–1981 Invited speaker at the International Congress of Mathematicians in Berkeley, 1986 Vice president of the American Mathematical Society, 1989-1991 Ruth Lyttle Satter Prize in Mathematics of the American Mathematical Society, 1995 Guggenheim Fellowship, 1998 Plenary Speaker at the International Congress of Mathematicians in Beijing, 2002 Member, American Academy of Arts and Sciences, 2008 Honorary Degree, UPMC, 2013 Fellow, National Academy of Sciences, 2009 Fellow, Academia Sinica, 2012 Fellow, American Mathematical Society, 2015 Fellow, Association for Women in Mathematics, 2019 MSRI Simons Professor, 2015-2016

Publications Chang, Sun-Yung A.; Yang, Paul C. Conformal deformation of metrics on S 2 {\displaystyle S^{2}} . J. Differential Geom. 27 (1988), no. 2, 259–296. Chang, Sun-Yung Alice; Yang, Paul C. Prescribing Gaussian curvature on S 2 {\displaystyle S^{2}} . Acta Math. 159 (1987), no. 3–4, 215–259. Chang, Sun-Yung A.; Yang, Paul C. Extremal metrics of zeta function determinants on 4-manifolds. Ann. of Math. (2) 142 (1995), no. 1, 171–212. Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C. The scalar curvature equation on 2- and 3-spheres. Calc. Var. Partial Differential Equations 1 (1993), no. 2, 205–229. Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C. An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature. Ann. of Math. (2) 155 (2002), no. 3, 709–787. Chang, S.-Y. A.; Wilson, J. M.; Wolff, T. H. Some weighted norm inequalities concerning the Schrödinger operators. Comment. Math. Helv. 60 (1985), no. 2, 217–246. Carleson, Lennart; Chang, Sun-Yung A. On the existence of an extremal function for an inequality of J. Moser. Bull. Sci. Math. (2) 110 (1986), no. 2, 113–127. Chang, Sun-Yung A.; Fefferman, Robert Some recent developments in Fourier analysis and H p {\displaystyle H^{p}} -theory on product domains. Bull. Amer. Math. Soc. (N.S.) 12 (1985), no. 1, 1–43. Chang, Sun-Yung A.; Fefferman, Robert A continuous version of duality of H 1 {\displaystyle H^{1}} with BMO on the bidisc. Ann. of Math. (2) 112 (1980), no. 1, 179–201.

References O'Connor, John J.; Robertson, Edmund F., "Sun-Yung Alice Chang", MacTutor History of Mathematics Archive, University of St Andrews

External links Leong, Y K (July 2012). "An Interview with Sun-Yung Alice Chang" (PDF). Asia Pacific Mathematics Newsletter. pp. 25–29. AWM Fellows List 2019 Gursky, Matthew J.; Wang, Yi (March 2020). "Sun-Yung Alice Chang and Geometric Analysis" (PDF). Notices of the American Mathematical Society. 67 (3): 318–326. doi:10.1090/noti2037.

Illustrations

Sun-Yung Alice Chang illustration

Worked examples

Example 1 — a first encounter with Sun-Yung Alice Chang

Start with the simplest possible case. Write down what Sun-Yung Alice Chang 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 Sun-Yung Alice Chang 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 Sun-Yung Alice Chang 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 Sun-Yung Alice Chang

In research
Sun-Yung Alice Chang 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 Sun-Yung Alice Chang 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
Sun-Yung Alice Chang is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1948 births, 20th-century American mathematicians, 20th-century American women mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Sun-Yung Alice Chang 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 Sun-Yung Alice Chang in 20 minutes

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

Frequently asked questions

What is Sun-Yung Alice Chang in simple terms?

Sun-Yung Alice Chang (Chinese: 張聖容; pinyin: Zhāng Shèngróng, Hakka: Chông Sṳn-yùng, [t͡soŋ sɨn juŋ]; born 1948) is a Taiwanese-American mathematician specializing in aspects of mathematical analysis ranging from harmonic analysis and partial differential equations to differential geometry. She is t…

Why does Sun-Yung Alice Chang 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 Sun-Yung Alice Chang?

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 Sun-Yung Alice Chang.

Tags

  • 1948 births
  • 20th-century American mathematicians
  • 20th-century American women mathematicians
  • 21st-century American mathematicians
  • 21st-century American women mathematicians
  • American people of Chinese descent
  • Chinese women mathematicians
  • Educators from Shaanxi
  • Fellows of the American Mathematical Society
  • Fellows of the Association for Women in Mathematics
  • Living people
  • Mathematicians from Shaanxi

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