Last year I co-authored a paper whose title speaks for itself:

[Comparative Genomics Meets Topology: a Novel View on Genome Median and Halving Problems][1]

The introduced topological framework allowed to advance analysis of some hard combinatorial problems in comparative genomics, and further obtain a closed form answer for an open problem.

  [1]: https://bmcbioinformatics.biomedcentral.com/track/pdf/10.1186/s12859-016-1263-7