# Ernest Preston Lane

**Ernest Preston Lane** (28 November 1886, Russellville, Tennessee – October 1969) was an American mathematician, specializing in differential geometry.

## Education and career

He received in 1909 his bachelor's degree in from the University of Tennessee and in 1913 his master's degree from the University of Virginia.[1] He taught mathematics at several academic institutions before receiving in 1918 from the University of Chicago his PhD under Ernest Julius Wilczynski with thesis * Conjugate systems with indeterminate axis curves*.[2] At the University of Wisconsin Lane was from 1919 to 1923 an assistant professor. At the University of Chicago he was from 1923 to 1927 an assistant professor, from 1927 to 1928 an associate professor, and from 1928 to 1952 a full professor, retiring in 1952 as professor emeritus. He was the chair of the University of Chicago's mathematics department from 1941 to 1946.

Lane was a Guggenheim Fellow for the academic year 1926–1927.[1] His doctoral students include Alice T. Schafer, and Sun Guangyuan.

## Selected publications

*Projective differential geometry of curves and surfaces*. University of Chicago Press. 1932.[3]*Metric differential geometry of curves and surfaces*. University of Chicago Press. 1930.[4]*A treatise on projective differential geometry*. University of Chicago Press. 1942.[5]

## References

- "Ernest Preston Lane".
*John Simon Guggenheim Memorial Foundation*. - Ernest Preston Lane at the Mathematics Genealogy Project
- Emch, Arnold (1933). "Review of
*Projective differential geometry of curves and surfaces*by Ernest P. Lane".*Bull. Amer. Math. Soc*.**39**: 181–182. doi:10.1090/S0002-9904-1933-05563-5. - Grove, Vernon G. (1940). "Review of
*Metric differential geometry of curves and surfaces*by Ernest P. Lane".*Bull. Amer. Math. Soc*.**47**: 192–194. doi:10.1090/S0002-9904-1941-07408-2. - Bell, P. O. (1942). "Review of
*A treatise on projective differential geometry*by Ernest P. Lane".*Bull. Amer. Math. Soc*.**49**: 840–845. doi:10.1090/S0002-9904-1943-08018-4.