Paul C. Yang
{{short description|Taiwanese-American mathematician}}
{{Infobox scientist
| name = Paul C. Yang
| native_name = 杨建平
| native_name_lang =
| image =
| image_size =
| alt =
| caption =
| birth_date = {{Birth year and age|1947}}
| birth_place = Changhua, Taiwan
| death_date =
| death_place =
| death_cause =
| resting_place =
| resting_place_coordinates =
| other_names =
| residence =
| citizenship =
| nationality =
| fields = Mathematics
| workplaces = Rice University
University of Maryland
Indiana University
University of Southern California
Princeton University
| patrons =
| education =
| alma_mater = University of California, Berkeley (BA, PhD)
| thesis_title =
| thesis_url =
| thesis_year =
| doctoral_advisor = Hung-Hsi Wu
| academic_advisors =
| notable_students =
| influences =
| influenced =
| awards = {{ublist
| Fellow of the American Mathematical Society
}}
| author_abbrev_bot =
| author_abbrev_zoo =
| spouse = Sun-Yung Alice Chang
| partner =
| children =
| signature =
| signature_alt =
| website =
| footnotes =
}}
Paul C. Yang ({{zh|c=杨建平|p=Yáng Jiàn Píng|w=}}; born 1947) is a Taiwanese-American mathematician specializing in differential geometry, partial differential equations and CR manifolds. He is best known for his work in Conformal geometry for his study of extremal metrics and his research on scalar curvature and Q-curvature. In CR Geometry he is known for his work on the CR embedding problem, the CR Paneitz operator
and for introducing the Q' curvature in CR Geometry.
Career
Yang received a B.A. in mathematics from the University of California, Berkeley, in 1969. He then earned his doctorate from Berkeley in 1973 under the supervision of Hung-Hsi Wu ({{zh|c=伍鴻熙}}).{{MathGenealogy|id=32829|title=Paul Yang}}
He held positions at Rice University, the University of Maryland, Indiana University and the
University of Southern California before joining
Princeton University in 2001.{{cite web|url=https://web.math.princeton.edu/~yang/|title=Princeton:Professor Yang|accessdate=Mar 10, 2015}}
Awards and honors
Yang was a Sloan Foundation Fellow in 1981. In 2012, he
became a fellow of the American Mathematical Society.[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society]
Selected 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 A.; 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.
- 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.
- Chanillo, Sagun; Chiu, Hung-Lin; Yang, Paul C. Embeddability for Three Dimensional Cauchy-Riemann Manifolds and CR Yamabe Invariants, Duke Math. J.,161(15), (2012), 2909–2921.
References
{{Reflist}}
{{Authority control}}
{{DEFAULTSORT:Yang, Paul C.}}
Category:20th-century American mathematicians
Category:21st-century American mathematicians
Category:Fellows of the American Mathematical Society
Category:University of California, Berkeley alumni
Category:Rice University faculty
Category:University of Maryland, College Park faculty
Category:Indiana University faculty
Category:University of Southern California faculty
Category:Princeton University faculty
Category:American people of Chinese descent
Category:Differential geometers