Topology and algebraic topology have any application in biology?

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If so,

In what area? evolution, genetecs ....

And how good do my computer skills need to be to work in these areas?

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Topology and knot theory are used to study DNA supercoiling and topoisomerases in molecular biology. There is a little elaboration in The Knot Book by Colin Adams. See also, for example, http://www.omup.jp/modules/papers/knot/chap17.pdf.

Rational tangle calculus also has applications to the analysis of DNA recombination. See the last section of this: http://homepages.math.uic.edu/~kauffman/RTang.pdf.