| Johann Benedict Listing | |
| Birth Date: | 1808 7, df=y |
| Birth Place: | Frankfurt, Principality of Frankfurt |
| Death Place: | Göttingen, Kingdom of Prussia, German Empire |
| Nationality: | German |
| Fields: | Mathematics |
| Alma Mater: | University of Göttingen |
| Doctoral Advisor: | Carl Friedrich Gauss |
| Doctoral Students: | Edward Leamington Nichols |
| Known For: | Back-and-forth method Listing number Listing's knot Listing's law |
Johann Benedict Listing (25 July 1808 – 24 December 1882) was a German mathematician.
J. B. Listing was born in Frankfurt and died in Göttingen. He finished his studies at the University of Göttingen in 1834, and in 1839 he succeeded Wilhelm Weber as professor of physics.
Listing first introduced the term "topology" to replace the older term "geometria situs" (also called sometimes "Analysis situs"), in a famous article published in 1847, although he had used the term in correspondence some years earlier.[1] He (independently) discovered the properties of the Möbius strip, or half-twisted strip, at the same time (1858) as August Ferdinand Möbius, and went further in exploring the properties of strips with higher-order twists (paradromic rings). He discovered topological invariants which came to be called Listing numbers.[2]
In ophthalmology, Listing's law describes an essential element of extraocular eye muscle coordination.
In geodesy, he coined in 1872 the term geoid for the idealized geometric surface of the figure of the Earth.[3]