Nicolaas Kuiper | Academic Influence

Nicolaas Kuiper's AcademicInfluence.com Rankings

Nicolaas Kuiper

Mathematics

#255

World Rank

#553

Historical Rank

Topology

#30

World Rank

#47

Historical Rank

Measure Theory

#2416

World Rank

#2889

Historical Rank

mathematics Degrees

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Mathematics

Nicolaas Kuiper's Degrees

PhD Mathematics University of Amsterdam

Why Is Nicolaas Kuiper Influential?

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According to Wikipedia, Nicolaas Hendrik Kuiper was a Dutch mathematician, known for Kuiper's test and proving Kuiper's theorem. He also contributed to the Nash embedding theorem. Kuiper studied at University of Leiden in 1937-41, and worked as a secondary school teacher of mathematics in Dordrecht in 1942-47. He completed his Ph.D. in differential geometry from the University of Leiden in 1946 under the supervision of Willem van der Woude. In 1947 he came to the United States at the invitation of Oscar Veblen, where he stayed at the Institute for Advanced Study for one year as Veblen's assistant, and the second year as member of the IAS, meeting Shiing-Shen Chern, and he also went to the University of Michigan at Ann Arbor. In February to June 1954, he went for a second time to Ann Arbor where he met Raoul Bott and his student Stephen Smale. In 1950 he was appointed professor of mathematics at the Agricultural University of Wageningen.

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Nicolaas Kuiper's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Tests concerning random points on a circle (1960) (480)
The homotopy type of the unitary group of Hilbert space (1965) (411)
On C1-isometric imbeddings. II (1955) (279)
Some Theorems on the Isometric Imbedding of Compact Riemann Manifolds in Euclidean Space (1952) (184)
An invariant for certain smooth manifolds (1962) (150)
Manifolds which are like projective planes (1962) (110)
Minimal total absolute curvature for immersions (1970) (88)
C1-EQUIVALENCE OF FUNCTIONS NEAR ISOLATED CRITICAL POINTS (1972) (81)
The topology of holomorphic flows with singularity (1978) (79)
Tight Embeddings and Maps. Submanifolds of Geometrical Class Three in E N (1980) (57)
Topological classification of linear endomorphisms (1973) (57)
Morse relations for curvature and tightness (1971) (40)
Manifolds — Amsterdam 1970 (1971) (31)
Microbundles and bundles (1966) (30)
Convex immersions of closed surfaces inE 3: Non-orientable closed surfaces inE 3 with minimal total absoluteGauss-curvature (1961) (29)
Convex immersions of closed surfaces inE3 (1961) (28)
Microbundles and bundles (1966) (26)
Double normals of convex bodies (1964) (23)
Total curvature for knotted surfaces (1984) (21)
Alternative Proof of a Theorem of Birnbaum and Pyke (1959) (19)
Stable surfaces in Euclidean three space. (1975) (19)
A new knot invariant (1987) (19)
Homotopy negligible subsets (1969) (18)
Geometrical class and degree for surfaces in three-space (1981) (17)
Isometric and short imbeddings (1959) (17)
Tight topological embeddings of the Moebius band (1972) (15)
Geometry in Curvature Theory (1997) (13)
Tight topological embeddings of the real projective plane inE5 (1977) (13)
The total curvature of a knotted torus (1987) (12)
Closed manifolds which admit nondegenerate functions with three critical points (1961) (10)
A continuous function with two critical points (1961) (9)
Polynomial equations for tight surfaces (1983) (8)
Groups of Motions of Order ½n(n–1)+ 1 in Riemannian n-Spaces (1956) (8)
On the random cumulative frequency function (1960) (8)
On geometric objects and lie groups of transformations (1955) (7)
Problems concerning manifolds (1971) (7)
Taut sets in three space are very special (1984) (6)
On the Smoothings of Triangulated and Combinatorial Manifolds (1965) (6)
On Linear Families of Involutions (1950) (6)
Minimal total curvature, a look at old and new results (1985) (6)
Two Algebraic Theorems with Applications (1956) (6)
Differentiable Closed Embeddings of Banach Manifolds (1970) (5)
Linear Algebra and Geometry (1965) (5)
Manifolds which are like Projective Planes. (1965) (4)
On a metric in the space of random variables (1962) (3)
Random variables rather than distribution functions, a different and useful approach in statistics (1961) (1)
On Convex Sets and Lines in the Plane (1957) (1)
On the Holonomic Groups of the Vector Displacement in Riemannian Spaces (1951) (1)
Geometry symposium on the occasion of the 60th birthday of N.H.Kuiper (1980) (0)
Manifolds which are like projective planes (p. 5 à 46) . Les zéros d'une fonction analytique d'une variable sur un corps valué complet (p. 47à 76) (1962) (0)
Manifolds-Amsterdam 1970 : proceedings of the Nuffic Summer School on Manifolds, Amsterdam, August 17-29, 1970 (1971) (0)
Tight and taut submanifolds : papers in memory of Nicolaas H. Kuiper (1997) (0)
Mathematics on Geometric Objects and Lie Groups of Transformations: (Communicated by Prof. J. A. SCHOUTEN at the meeting of June 25, 1955) (1982) (0)
Review: J. Milnor, Morse theory (1965) (0)
The topology of linear ℂm-flows on ℂn (1983) (0)

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