This might not directly answer your question, but there are a couple of books in the "Lecture Notes in Computer Science" series which are a collection of papers in Applicable/Applied algebra. I am including google books links for these. This might give you an idea of the kind of work taking place in these areas and the people involved. In recent times, I think, there have been a good number commutative algebraists, algebraic geometers, number theorists and combinatorialists working parallel in these areas.
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