Ernest Preston Lane
American mathematician
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Mathematics
Ernest Preston Lane's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Princeton University
Why Is Ernest Preston Lane Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ernest Preston Lane was an American mathematician, specializing in differential geometry. Education and career In 1909, he received his bachelor's degree in from the University of Tennessee. Later in life, he went on to receive his master's degree from the University of Virginia in 1913. 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. 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.
Ernest Preston Lane's Published Works
Published Works
- A Treatise On Projective Differential Geometry (1942) (68)
- Metric differential geometry of curves and surfaces (1940) (50)
- The Correspondence Between the Tangent Plane of a Surface and Its Point of Contact (1926) (6)
- The neighborhood of a sextactic point on a plane curve (1935) (4)
- The contact of a cubic surface with an analytic surface (1927) (4)
- The Methods of Plane Projective Geometry Based on the Use of General Homogeneous Coordinates . E. A. Maxwell. Cambridge, Engl.: at the Univ. Press; New York: Macmillan, 1946. Pp. xix+ 230. $2.75. (1947) (3)
- Contributions to the Theory of Conjugate Nets (1927) (3)
- Invariants of Intersection of Two Curves on a Surface (1932) (3)
- Wilczynski's and Fubini's canonical systems of differential equations (1926) (2)
- Review: E. Cartan, Leons sur les Invariants Intgraux (1923) (2)
- Bundles and pencils of nets on a surface (2)
- Surfaces and curvilinear congruences (1932) (2)
- A canonical power series expansion for a surface (1935) (2)
- Projective Differential Geometry (1933) (2)
- The projective differential geometry of systems of linear homogeneous differential equations of the first order (1928) (1)
- Ruled surfaces with generators in one-to-one correspondence (1923) (1)
- The curves of a conjugate net (1939) (1)
- The asymptotic osculating quadrics of a curve on a surface (1927) (1)
- A general theory of conjugate nets (1922) (1)
- Present Tendencies in Projective Geometry (1930) (1)
- Integral surfaces of pairs of partial differential equations of the third order (1930) (1)
- Surfaces Whose Asymptotic Curves are Twisted Cubics (1938) (1)
- Review: Pauline Sperry, Bibliography of Projective Differential Geometry (1932) (0)
- Recent developments in projective differential geometry (0)
- Hypergeodesic mapping of a surface on a plane (1930) (0)
- Ernest Julius Wilczynski—In memoriam (1933) (0)
- The moving trihedron (1934) (0)
- Ernest Julius Wilczynski (in Memoriam) (1933) (0)
- Canonical configurations associated with a surface (1928) (0)
- On the Fundamental Transformation of Surfaces (0)
- Plane sections through an asymptotic tangent of a surface (1935) (0)
- Conjugate Systems with Indeterminate Axis Curves (0)
- Book Review: Bibliography of Projective Differential Geometry (1932) (0)
- Ernest Julius Wilczynski (1932) (0)
- Calculus of Extension: The Calculus of Extension . By Henry George Forder. xvi + 490 pp. Cambridge: At the University Press. New York: The Macmillan Company. 1941. $6.75. (1941) (0)
- On the Contact of a Quartic Surface with an Analytic Surface (1929) (0)
- Fubini and Čech, Projective Differential Geometry (0)
- Asymptotic Curves on a Surface (1938) (0)
- Joint-Axis Congruences with Indeterminate Developables (0)
- A theorem on surfaces (1940) (0)
- Conjugate Nets and the Lines of Curvature (1931) (0)
- A characterization of surfaces of translation (0)
- Power Series Expansions in the Neighborhood of a Point on a Surface. (1927) (0)
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