Can computers aid in solving problems of Topology/Differential Geometry I was wondering whether computers can, or have been of any aid in fields such as topology and differential geometry. Usually when I think of computers, only problems of "finite"/"discrete" nature come to mind. But can they be used to tackle the "continuous" problems of mathematics? 

Interesting classes of minimal surfaces were discovered by computer, and then Meeks and Hoffman knew to look for proofs of deep theorems. See, for example, this paper in the Bulletin of the AMS and this expository article and this.
