Axiom is reaching a stable point where it can support research
in new areas. There is current work on Gustafson's Universal
Numbers (UNUMS) which promises to simplify the numeric
libraries. It seems to also promise some symbolic/numeric
computation. Time will tell.
Another area, still at the read-the-literature stage is quantum
computing. IBM has made a 5-qubit machine available on the
web. Some effort was devoted to implementing known algorithms.
Quantum computing had come a long way in the last few years.
There are several attempts to create a high level language for