In differential geometry, a Nadirashvili surface is an immersed complete bounded minimal surface in R with negative curvature.
 The first example of such a surface was constructed by in .
 This simultaneously answered a question of Hadamard about whether there was an immersed complete bounded surface in R with negative curvature, and a question of Eugenio Calabi and Shing-Tung Yau about whether there was an immersed complete bounded minimal surface in R.
Shing-Tung Yau ( ; ; born April 4, 1949) is a Hong Kong and naturalised American mathematician.
 He was awarded the Fields Medal in 1982.
 He is currently the William Caspar Graustein Professor of Mathematics at Harvard.
In differential geometry, the Minkowski problem, named after Hermann Minkowski, asks for the construction of a strictly convex compact surface "S" whose Gaussian curvature is specified.
 More precisely, the input to the problem is a strictly positive real function "ƒ" defined on a sphere, and the surface that is to be constructed should have Gaussian curvature "ƒ"("n"("x")) at the point "x", where "n"("x") denotes the normal to "S" at "x".
 Eugenio Calabi stated: "From the geometric view point it [the Minkowski problem] is the Rosetta Stone, from which several related problems can be solved."
In differential geometry, a triply periodic minimal surface (TPMS) is a minimal surface in ℝ that is invariant under a rank-3 lattice of translations.
In the field of differential geometry in mathematics, inverse mean curvature flow (IMCF) is an example of a geometric flow of hypersurfaces of a Riemannian manifold (for example, smooth surfaces in 3-dimensional Euclidean space).
 Intuitively, a family of surfaces evolves under IMCF if the outward normal speed at which a point on the surface moves is given by the reciprocal of the mean curvature of the surface.
 For example, a round sphere evolves under IMCF by expanding outward uniformly at an exponentially growing rate (see below).
 In general, this flow does not exist (for example, if a point on the surface has zero mean curvature), and even if it does, it generally develops singularities.
 Nevertheless, it has recently been an important tool in differential geometry and mathematical problems in general relativity.
In differential geometry, Catalan's minimal surface is a minimal surface originally studied by Eugène Charles Catalan in 1855.
The Journal of Differential Geometry is a peer-reviewed scientific journal of mathematics published by International Press on behalf of Lehigh University in 3 volumes of 3 issues each per year.
 The journal publishes an annual supplement in book form called Surveys in Differential Geometry.
 It covers differential geometry and related subjects such as differential equations, mathematical physics, algebraic geometry, and geometric topology.
 The editor-in-chief is Shing-Tung Yau of Harvard University.
In differential geometry, Hilbert's theorem (1901) states that there exists no complete regular surface formula_1 of constant negative gaussian curvature formula_2 immersed in formula_3.
 This theorem answers the question for the negative case of which surfaces in formula_3 can be obtained by isometrically immersing complete manifolds with constant curvature.
In differential geometry, the Kobayashi–Hitchin correspondence (or Donaldson–Uhlenbeck–Yau theorem) relates stable vector bundles over a complex manifold to Einstein–Hermitian vector bundles.
 The correspondence is named after Shoshichi Kobayashi and Nigel Hitchin, who independently conjectured in the 1980s that the moduli spaces of stable vector bundles and Einstein–Hermitian vector bundles over a complex manifold were essentially the same.
 This was proved by Simon Donaldson for algebraic surfaces and later for algebraic manifolds, by Karen Uhlenbeck and Shing-Tung Yau for Kähler manifolds, and by Jun Li and Yau for complex manifolds.
In differential geometry, Riemann's minimal surface is a one-parameter family of minimal surfaces described by Bernhard Riemann in a posthumous paper published in 1867.
 Surfaces in the family are singly periodic minimal surfaces with an infinite number of ends asymptotic to parallel planes, each plane "shelf" connected with catenoid-like bridges to the neighbouring ones.
 Their intersections with horizontal planes are circles or lines; Riemann proved that they were the only minimal surfaces fibered by circles in parallel planes besides the catenoid, helicoid and plane.
 They are also the only nontrivial embedded minimal surfaces in Euclidean 3-space invariant under the group generated by a nontrivial translation.
 It is possible to attach extra handles to the surfaces, producing higher-genus minimal surface families.

Question: In differential geometry, a Nadirashvili surface is an immersed complete bounded minimal surface in R with negative curvature, Eugenio Calabi and Shing-Tung Yau had a question, about whether there was an immersed complete bounded minimal surface in R, Shing-Tung Yau is from Hong Kong and what type of American mathematician?
Answer: naturalised