I chose the wikipedia article on phylogenetics. It looks like phylogenetics is a discipline more or less defined by the use of relatively complicated math to study the evolutionary tree of life. Supposedly there's Bayesian inference and stuff. The NSF funds a lot of this. There's a specific (ongoing) project devoted to just red algae, called RedToL. There's a big sequence database called GenBank, run by the National Center for Biotechnology Information, part of the NIH. Also, taxonomy is somewhat distinct from modern phylogenetics. Cladistics is a branch of taxonomy trying to bring taxonomy into line with phylogenetics, and phenetics is a branch of taxonomy that ignores phylogenetics entirely. It looks like phenetics is on the way out, although neighbour joining is still relevant.