Q:

Computational Algebra and Symbolic Computation - Where?

Following the line of this question, I'm in my last year of M.Sc., and I'm looking for a place where I can start my PHD. Since that question has been asked 4 years ago, I thought it may be wise to ask whether something has changed. 
That is, there are new research groups/universities in the area? The old ones are still active?

A:

Some particular places have already been mentioned in the answers
to the question you refer to, and I think it is not appropriate to give
in this place advice on where to do your PhD in computational algebra
concretely. That said, some general things I would do in your situation:

First of all, search on the internet which research groups
which are located (or are sufficiently represented) in regions /
countries which you would consider moving to fit best to your
interests.
Then communicate with a couple of different members of each of
these groups, preferably of different ranks (PhD student to
professor / group leader). In particular ask them about

the working atmosphere (is it friendly / collaboratively?
Is there team spirit?),
the funding situation (do people always get employment during
their PhD studies if they wish so?, are there sufficient funds
for conference travel expenses available to PhD students?),
the support from the group for former PhD students
(recommendations / job references etc.) and its effectiveness.

I'd suggest you to be particularly careful in case you get
contrary answers to these questions from different
members of the same group.
Just in case you are interested, you are welcome to contact me 
with respect to GAP (I am in the GAP Group since about 15 years).

