Doris Helga Fischer-Colbrie (born in 1949)Institute for Advanced Study (IAS), past member: Doris Helga Fischer-Colbrie is a ceramic artist and former mathematician. She received her Ph.D. in mathematics in 1978 from University of California at Berkeley, where her advisor was H. Blaine Lawson.
Many of her contributions to the theory of minimal surfaces are now considered foundational to the field. In particular, her collaboration with Richard Schoen is a landmark contribution to the interaction of stable minimal surfaces with nonnegative scalar curvature.Li, Peter. Geometric analysis. Cambridge Studies in Advanced Mathematics, 134. Cambridge University Press, Cambridge, 2012. x+406 pp. A particular result, also obtained by Manfredo do Carmo and Chiakuei Peng, is that the only complete stable minimal surfaces in are planes.do Carmo, M.; Peng, C. K. Stable complete minimal surfaces in are flat planes. Bull. Amer. Math. Soc. (N.S.) 1 (1979), no. 6, 903–906. Her work on unstable minimal surfaces gave the basic tools by which to relate the assumption of finite index to conditions on stable subdomains and total curvature.Meeks, William H., III; Pérez, Joaquín The classical theory of minimal surfaces. Bull. Amer. Math. Soc. (N.S.) 48 (2011), no. 3, 325–407.Meeks, William H., III; Pérez, Joaquín. A survey on classical minimal surface theory. University Lecture Series, 60. American Mathematical Society, Providence, RI, 2012. x+182 pp.
After positions at Columbia University and San Diego State University, Fischer-Colbrie left academia to become a ceramic artist. She is married to Schoen, with whom she has two children."The mathematics of Richard Schoen". Notices Amer. Math. Soc. 65 (2018), no. 11, 1349–1376.
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