Thomas Francis Banchoff (born April 7, 1938) is an American mathematicianspecializing in geometry. He is a professor at Brown University, where he has taught since 1967. He is known for his research in differential geometry in three and four dimensions, for his efforts to develop methods of computer graphics in the early 1990s, and most recently for his pioneering work in methods of undergraduate education utilizing online resources.
with Stephen Lovett: Differential Geometry of Curves and Surfaces (2nd edition), A. K. 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. 46 (1974), 407–413. (concerning the number of triple points of immersed surfaces in .)
Critical points and curvature for embedded polyhedra. Journal of Differential Geometry 1 (1967), 245–256. (Theorem of Gauß-Bonnet for Polyhedra)