Shing-Tung Yau
Meeks and Shing-Tung Yau went on to use results of Waldhausen to prove results about the topological uniqueness of minimal surfaces of finite genus in formula_55. The final topological classification of embedded minimal surfaces in formula_55 was given by Meeks and Frohman. The result relied heavily on techniques developed for studying the topology of Heegaard splittings.