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Minimal surfaces from circle patterns: geometry from combinatorics
 ANN. OF MATH
, 2006
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An embedded genusone helicoid
, 2005
"... There exists a properly embedded minimal surface of genus one with one end. The end is asymptotic to the end of the helicoid. This genus one helicoid is constructed as the limit of a continuous oneparameter family of screwmotion invariant minimal surfacesalso asymptotic to the helicoidthat ha ..."
Abstract

Cited by 23 (4 self)
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There exists a properly embedded minimal surface of genus one with one end. The end is asymptotic to the end of the helicoid. This genus one helicoid is constructed as the limit of a continuous oneparameter family of screwmotion invariant minimal surfacesalso asymptotic to the helicoidthat have genus equal to one in the quotient.
A FAMILY OF TRIPLY PERIODIC COSTA SURFACES
 PACIFIC JOURNAL OF MATHEMATICS
, 2003
"... We derive global Weierstrass representations for complete minimal surfaces obtained by substituting the ends of the Costa surface by symmetry curves. ..."
Abstract

Cited by 6 (1 self)
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We derive global Weierstrass representations for complete minimal surfaces obtained by substituting the ends of the Costa surface by symmetry curves.