Ernest Julius Wilczynski
Mathematician
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Mathematics
Ernest Julius Wilczynski's Degrees
- PhD Mathematics University of Chicago
Why Is Ernest Julius Wilczynski Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ernest Julius Wilczynski was an American mathematician considered the founder of projective differential geometry. Born in Hamburg, Germany, Wilczynski's family emigrated to America and settled in Chicago, Illinois when he was very young. He attended public school in the US but went to college in Germany and received his PhD from the University of Berlin in 1897. He taught at the University of California until 1907, the University of Illinois from 1907 to 1910, and the University of Chicago from 1910 until illness forced his absence from the classroom in 1923. His doctoral students include Archibald Henderson, Ernest Preston Lane, Pauline Sperry, Ellis Stouffer, and Charles Thompson Sullivan.
Ernest Julius Wilczynski's Published Works
Published Works
- Projective differential geometry (1906) (47)
- Projective differential geometry of curved surfaces. IV (39)
- Projective Differential Geometry of Curved Surfaces (Fourth Memoir) (17)
- The general theory of congruences (1915) (8)
- Outlines of a Theory of Spiral and Planetary Nebulae. (1896) (8)
- On the Form of the Power Series for an Algebraic Function (7)
- General theory of curves on ruled surfaces (6)
- Some remarks on the historical development and the future prospects of the differential geometry of plane curves (1916) (6)
- Geometrical Significance of Isothermal Conjugacy of a Net of Curves (1920) (5)
- An application of group theory to hydrodynamics (1900) (3)
- One-parameter families and nets of plane curves (1911) (3)
- Integral invariants in projective geometry (1916) (2)
- Invariants and Canonical Forms. (1918) (2)
- APPOINTMENTS IN COLLEGES AND UNIVERSITIES. (1909) (2)
- The new haven colloquium (1910) (2)
- On Systems of Multiform Functions Belonging to a Group of Linear Substitutions with Uniform Coefficients (1899) (2)
- Some general aspects of modern geometry (1913) (2)
- On a certain class of self-projective surfaces (1913) (2)
- On Continuous Binary Linearoid Groups, and the Corresponding Differential Equations and Λ Functions (1900) (2)
- On a certain congruence associated with a given ruled surface (1903) (1)
- On self-dual scrolls (1904) (1)
- Hydrodynamical Investigations of the Solar Rotation. (1896) (1)
- Review: Abraham Cohen, An Introduction to the Lie Theory of One-Parameter Groups with Applications to the Solution of Differential Equations (1912) (1)
- Transformation of Systems of Linear Differential Equations (1)
- Schmidt's Theory of the Sun (1895) (1)
- Dynamics of a nebula (1899) (1)
- On a Certain Completely Integrable System of Linear Partial Differential Equations (1914) (1)
- Geometry of a simultaneous system of two linear homogeneous differential equations of the second order (1901) (1)
- The first meeting of the San Francisco Section of the American Mathematical Society (1902) (1)
- ON THE CAUSES OF THE SUN'S EQUATORIAL ACCELERATION AND THE SUN-SPOT PERIOD (1897) (1)
- Covariants of systems of linear differential equations and applications to the theory of ruled surfaces (1902) (1)
- A forgotten theorem of Newton's on planetary motion, and an instrumental solution of Kepler's problem (1)
- Reciprocal systems of linear differential equations (1)
- On Linearoid Differential Equations (1899) (1)
- Discussions: Expository Papers for the Association (1921) (1)
- New Books and Book Reviews (1916) (0)
- General projective theory of space curves (1905) (0)
- Invariants of a System of Linear Partial Differential Equations, and the Theory of Congruences of Rays (1904) (0)
- Plane Trigonometry and Applications.@@@Logarithmic and Trigonometric Tables. (1914) (0)
- Note concerning the instrumental solution of Kepler's problem by means of the trochoid (1913) (0)
- Conjugate Systems of Space Curves with Equal Laplace-Darboux Invariants. (1915) (0)
- In memory of Gabriel Marcus Green (1919) (0)
- Errata: “On a certain congruence associated with a given ruled surface” [Trans. Amer. Math. Soc. 4 (1903), no. 2, 185–200; 1500637] (1904) (0)
- Forsyth's Differential Equations (1903) (0)
- One parameter families and nets of ruled surfaces and a new theory of congruences (1920) (0)
- On the Depth of the Reversing Layer (1898) (0)
- On ruled surfaces whose flecnode curve intersects every generator in two coincident points (1904) (0)
- Some generalizations of geodesics (1922) (0)
- On the Causes of the Sun-Spot Period (1898) (0)
- Linear Differential Equations (1910) (0)
- The Fourth Dimension (1909) (0)
- Interpretation of the Simplest Integral Invariant of Projective Geometry. (1916) (0)
- A set of properties characteristic of a class of congruences connected with the theory of functions (1920) (0)
- Review: Andrew Russell Forsyth, A Treatise on Differential Equations (1905) (0)
- Mathematical appointments in colleges and universities (1909) (0)
- Errata: “Geometry of a simultaneous system of two linear homogeneous differential equations of the second order” [Trans. Amer. Math. Soc. 2 (1901), no. 4, 343–362; 1500572] (1902) (0)
- Studies in the general theory of ruled surfaces (1904) (0)
- Errata: “An application of group theory to hydrodynamics” [Trans.\ Amer.\ Math.\ Soc. 1 (1900), no. 3, 339–352; 1500542] (1900) (0)
- Line-geometric representations for functions of a complex variable (1919) (0)
- A fundamental theorem in the theory of ruled surfaces (1903) (0)
- Book Review:Lectures on Fundamental Concepts of Algebra and Geometry J. W. Young (1912) (0)
- Theory of the motion of the spots on Jupiter (1898) (0)
- Errata: “Invariants of systems of linear differential equations” [Trans.\ Amer.\ Math.\ Soc. 2 (1901), 1–24; 1500552] (1901) (0)
- A generalization of Appell's factorial functions (1899) (0)
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