Paul C. Yang

Paul C. Yang is a Chinese-American mathematician specializing in differential geometry and partial differential equations. He is most well known for his work in conformal geometry, his study of extremal metrics and his research on scalar curvature and Q-curvature.

Career

Yang earned his doctorate at the University of California, Berkeley in 1973 under the supervision of Hung-Hsi Wu.^[1] He held positions at Rice University, the University of Maryland, Indiana University and the University of Southern California before taking his current position as professor at Princeton University in 2001.^[2]

Awards and honors

Yang was a Sloan Foundation Fellow in 1981.^[2] In 2012, he became a fellow of the American Mathematical Society.^[3]

Selected publications

• Chang, Sun-Yung A.; Yang, Paul C. Conformal deformation of metrics on S2. J. Differential Geom. 27 (1988), no. 2, 259–296.
• Chang, Sun-Yung Alice; Yang, Paul C. Prescribing Gaussian curvature on S2. 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.
• Yang, Paul C.; Yau, Shing Tung Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 7 (1980), no. 1, 55–63.

References