This can be a big problem in teams that are homogeneous: All were hired using the same process, so all are maths/physics majors with good analytical skills but

This can be a big problem in teams that are homogeneous: All were hired using the same process, so all are maths/physics majors with good analytical skills but insufficient software engineering skills. What often happens maths/physics majors excel at programming the small, but cannot architect things in the large. As a friend once put it about one such person: "He can only do it as long as he can fit the whole problem in his head at once." It's great to have mathematicians and physicists in the team. But you for sure want a sufficient number of trained and experienced software engineers as well.