William Hamilton Meeks III (born 8 August 1947 in
Washington, DC) is an American mathematician, specializing in differential geometry and
minimal surfaces.
He is known as an expert on minimal surfaces and their computer graphics visualization; on the latter subject he has collaborated with
David Allen Hoffman. For the academic year 2006/07 Meeks was a
Guggenheim Fellow.[3]
In 1986 at the
International Congress of Mathematicians in
Berkeley, he was Invited Speaker with talk Recent progress on the geometry of surfaces in and on the use of computer graphics as a research tool.[3]
Selected publications
with
Shing-Tung Yau: Meeks, William H; Yau, Shing-Tung (1980). "Topology of three dimensional manifolds and the embedding problems in minimal surface theory". Annals of Mathematics. 112 (3): 441–484.
doi:
10.2307/1971088.
JSTOR1971088.
Meeks, William H (1981). "A survey of the geometric results in the classical theory of minimal surfaces". Bol. Soc. Bras. Mat. 12 (1): 29–86.
doi:
10.1007/BF02588319.
S2CID126810651.
with
Leon Simon and S.-T. Yau: Iii, William Meeks; Simon, Leon; Yau, Shing-Tung (1982). "Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature". Ann. of Math. 116 (3): 621–659.
doi:
10.2307/2007026.
JSTOR2007026.
with S.-T. Yau: Meeks, William W; Yau, Shing-Tung (1982). "The existence of embedded minimal surfaces and the problem of uniqueness". Mathematische Zeitschrift. 179 (2): 151–168.
doi:
10.1007/BF01214308.
S2CID120139274.
with L. P. Jorge: Jorge, Luquesio P; Meeks, William H (1983). "The topology of complete minimal surfaces of finite total Gaussian curvature". Topology. 22 (2): 203–221.
doi:
10.1016/0040-9383(83)90032-0.
with J. Pérez and Giuseppe Tinaglia: Meeks III, William H; Perez, Joaquin; Tinaglia, Giuseppe (2016). "Constant mean curvature surfaces".
arXiv:1605.02512 [
math.DG].