Doris Fischer-Colbrie
US ceramic artist and former mathematician
From Wikipedia, the free encyclopedia
Doris Helga Fischer-Colbrie (born in 1949)[1][2] is a ceramic artist and former mathematician.[3] She received her Ph.D. in mathematics in 1978 from University of California at Berkeley, where her advisor was H. Blaine Lawson.[4]
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.[5] A particular result, also obtained by Manfredo do Carmo and Chiakuei Peng, is that the only complete stable minimal surfaces in ℝ3 are planes.[6] 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.[7][8]
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.[9]
Publication list
- Fischer-Colbrie, D. (1980). "Some rigidity theorems for minimal submanifolds of the sphere". Acta Mathematica. 145 (1–2): 29–46. doi:10.1007/BF02414184. MR 0558091. Zbl 0464.53047.
- Fischer-Colbrie, Doris; Schoen, Richard (1980). "The structure of complete stable minimal surfaces in 3-manifolds of nonnegative scalar curvature". Communications on Pure and Applied Mathematics. 33 (2): 199–211. CiteSeerX 10.1.1.1081.96. doi:10.1002/cpa.3160330206. MR 0562550. Zbl 0439.53060.
- Fischer-Colbrie, D. (1985). "On complete minimal surfaces with finite Morse index in three-manifolds". Inventiones Mathematicae. 82 (1): 121–132. doi:10.1007/BF01394782. MR 0808112. Zbl 0573.53038.