Alice Chang
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Sun-Yung Alice Chang (, , ; born 1948) is a
Taiwanese-American Taiwanese Americans ( Chinese: 臺灣裔美國人; pinyin: ''Táiwān yì měiguó rén''; Pe̍h-ōe-jī: ''Tâi-Bí-jîn'') are Americans of Taiwanese ancestry, including American-born descendants of migrants from the Republic of China (Taiwan) ...
mathematician specializing in aspects of
mathematical analysis Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series ( ...
ranging from
harmonic analysis Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency. The frequency representation is found by using the Fourier transform for functions on unbounded do ...
and
partial differential equation In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to ho ...
s to
differential geometry Differential geometry is a Mathematics, mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of Calculus, single variable calculus, vector calculus, lin ...
. She is the Eugene Higgins Professor of Mathematics at
Princeton University Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...
.


Life

Chang was born in
Xian, China Xi'an is the capital of the Chinese province of Shaanxi. A sub-provincial city on the Guanzhong plain, the city is the third-most populous city in Western China after Chongqing and Chengdu, as well as the most populous city in Northwestern C ...
, in 1948 and grew up in
Taiwan Taiwan, officially the Republic of China (ROC), is a country in East Asia. The main geography of Taiwan, island of Taiwan, also known as ''Formosa'', lies between the East China Sea, East and South China Seas in the northwestern Pacific Ocea ...
. She received her
Bachelor of Science A Bachelor of Science (BS, BSc, B.S., B.Sc., SB, or ScB; from the Latin ') is a bachelor's degree that is awarded for programs that generally last three to five years. The first university to admit a student to the degree of Bachelor of Scienc ...
(B.S.) degree in 1970 from
National Taiwan University National Taiwan University (NTU; zh, t=國立臺灣大學, poj=Kok-li̍p Tâi-oân Tāi-ha̍k, p=, s=) is a National university, national Public university, public research university in Taipei, Taiwan. Founded in 1928 during Taiwan under J ...
and her
Ph.D. A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...
in 1974 from the
University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California), is a Public university, public Land-grant university, land-grant research university in Berkeley, California, United States. Founded in 1868 and named after t ...
. At Berkeley, Chang wrote her thesis on the study of bounded
analytic functions In mathematics, an analytic function is a function that is locally given by a convergent power series. There exist both real analytic functions and complex analytic functions. Functions of each type are infinitely differentiable, but complex ...
. Chang became a full professor at
UCLA The University of California, Los Angeles (UCLA) is a public land-grant research university in Los Angeles, California, United States. Its academic roots were established in 1881 as a normal school then known as the southern branch of the C ...
in 1980 before moving to
Princeton Princeton University is a private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the Unit ...
in 1998.


Career and research

Chang's research interests include the study of geometric types of
nonlinear partial differential equation In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear system, nonlinear terms. They describe many different physical systems, ranging from gravitation to fluid dynamics, and have b ...
s 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 Topology (from the Greek language, Greek words , and ) is the branch of mathematics concerned with the properties of a Mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformat ...
. 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 The Alfred P. Sloan Foundation is an American philanthropic nonprofit organization. It was established in 1934 by Alfred P. Sloan Jr., president and chief executive officer of General Motors. The Sloan Foundation makes grants to support origin ...
Research Fellowship, 1979–1981 *
Invited speaker at the International Congress of Mathematicians An invitation system is a method of encouraging people to join an organization, such as a Club (organization), club or a website. In regular society, it refers to any system whereby new members are chosen; they cannot simply apply. In relation to w ...
in Berkeley, 1986 *Vice president of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
, 1989-1991 *
Ruth Lyttle Satter Prize in Mathematics The Ruth Lyttle Satter Prize in Mathematics, also called the Satter Prize, is one of twenty-one prizes given out by the American Mathematical Society (AMS). It is presented biennially in recognition of an outstanding contribution to mathematic ...
of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
, 1995 *
Guggenheim Fellowship Guggenheim Fellowships are Grant (money), grants that have been awarded annually since by the John Simon Guggenheim Memorial Foundation, endowed by the late Simon Guggenheim, Simon and Olga Hirsh Guggenheim. These awards are bestowed upon indiv ...
, 1998 *Plenary Speaker at the
International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...
in Beijing, 2002 *Member,
American Academy of Arts and Sciences The American Academy of Arts and Sciences (The Academy) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and other ...
, 2008 * Honorary Degree, UPMC, 2013 *Fellow,
National Academy of Sciences The National Academy of Sciences (NAS) is a United States nonprofit, NGO, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the ...
, 2009 *Fellow,
Academia Sinica Academia Sinica (AS, ; zh, t=中央研究院) is the national academy of the Taiwan, Republic of China. It is headquartered in Nangang District, Taipei, Nangang, Taipei. Founded in Nanjing, the academy supports research activities in mathemat ...
, 2012 *Fellow,
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
, 2015 *Fellow,
Association for Women in Mathematics The Association for Women in Mathematics (AWM) is a professional society whose mission is to encourage women and girls to study and to have active careers in the mathematical sciences, and to promote equal opportunity for and the equal treatment o ...
, 2019 * MSRI Simons Professor, 2015-2016


Publications

*Chang, Sun-Yung A.; Yang, Paul C. ''Conformal deformation of metrics on S^2''. J. Differential Geom. 27 (1988), no. 2, 259–296. *Chang, Sun-Yung Alice; Yang, Paul C. ''Prescribing Gaussian curvature on 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. The ''Commentarii Mathematici Helvetici'' is a quarterly peer-reviewed scientific journal in mathematics. The Swiss Mathematical Society (SMG) started the journal in 1929 after a meeting in May of the previous year. The Swiss Mathematical Societ ...
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-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 with BMO on the bidisc.'' Ann. of Math. (2) 112 (1980), no. 1, 179–201.


References

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External links

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AWM Fellows List 2019
* {{DEFAULTSORT:Chang, Sun-Yung Alice Princeton University faculty Members of the United States National Academy of Sciences Living people 1948 births Fellows of the American Mathematical Society Fellows of the Association for Women in Mathematics 20th-century American mathematicians 21st-century American mathematicians People from Xi'an National Taiwan University alumni University of California, Berkeley alumni University of California, Los Angeles faculty Mathematicians from Shaanxi American people of Chinese descent Chinese women mathematicians Taiwanese people from Shaanxi 20th-century American women mathematicians 21st-century American women mathematicians Educators from Shaanxi Members of the Royal Swedish Academy of Sciences