Sun-Yung Alice Chang

Sun-Yung Alice Chang (, , ; 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.

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 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 . J. Differential Geom. 27 (1988), no. 2, 259–296. Chang, Sun-Yung Alice; Yang, Paul C. Prescribing Gaussian curvature on . 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 -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 with BMO on the bidisc. Ann. of Math. (2) 112 (1980), no. 1, 179–201.