Thomas Banchoff

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Thomas Banchoff in Berkeley (1973)

Thomas Francis Banchoff (born April 7, 1938 ) is an American mathematician who studied geometry and differential geometry .

Life

Banchoff studied at the University of Notre Dame with a bachelor's degree in 1960 and at the University of California, Berkeley with a master's degree in 1962 and a doctorate in 1964 under S. S. Chern ( tightly embedded two dimensional polyhedral manifolds ). He then went to Harvard University (1964 to 1966 as Benjamin Peirce Instructor ) and from 1966/67 to the Free University of Amsterdam . In 1967 he became assistant professor , in 1970 associate professor and in 1973 professor at Brown University . In 1970/71 he was Acting Dean of Student Affairs there .

He was visiting professor at the University of California, Los Angeles , the University of Notre Dame (2001), Yale University and the University of Georgia .

He deals with the geometry and topology of low-dimensional manifolds (three and four dimensions) and is involved in various mathematics pedagogy projects, including Internet-based learning with computer graphics techniques in geometry and multidimensional analysis. As a result, he was invited speaker at the International Congress of Mathematicians in Helsinki in 1978 .

In 2012 he became a Fellow of the American Mathematical Society . From 1999 to 2000 he was President of the Mathematical Association of America , whose National Award for Distinguished College or University Teaching he received in 1996. From 1978 to 1981 he was co-editor of Mathematics Magazine , 1982 to 1985 of American Mathematical Montly, 1986 to 1995 of Geometriae Dedicata and since 1996 of Communications in Visual Mathematics. He was a Woodrow Wilson Fellow and a Carnegie Fellow.

Banchoff holds honorary degrees from Fairfield University and Rhode Island College . In 1978 he received the Lester Randolph Ford Award with Louis H. Kauffman .

He re-edited the book Flatland by Edwin Abbott Abbott , was a consultant for the film Flatland (2007) and produced computer animations for it.

Fonts

  • with Stephen Lovett: Differential Geometry of Curves and Surfaces, AK Peters 2010
  • with Terence Gaffney, Clint McCrory: Cusps of Gauss Mappings, Pitman 1982
  • with John Wermer: Linear Algebra through Geometry, Springer Verlag 1983
  • Beyond the third dimension: geometry, computer graphics, and higher dimensions, Scientific American Library, Freeman 1990
  • Triple points and surgery of immersed surfaces. Proc. Amer. Math. Soc. 1974, 46: 407-413. (Number of triple points of immersed areas in .)
  • Critical points and curvature for embedded polyhedra. J. Differential Geometry 1: 245-256 (1967). (Gauss-Bonnet theorem for polyhedra.)

literature

  • Donald J. Albers, Gerald L. Alexanderson Fascinating Mathematical People: Interviews and Memoirs , Princeton University Press 2011

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. for Banchoff, Kauffman Immersions and Mod-2 quadratic forms , American Mathematical Monthly, Volume 84, 1977, pp. 168-185