The future of mathematics is like the future of any other area of knowledge. The future is always there and it is always bright. There will always be things to study because when one question is resolved, the answer invariably leads to mor e questions in different directions. Computer will not take over mathematics. The two are complementary to each other.
Computer needs math to exist.
For example, the study of Computer Algorithm, development of Languages and Design of Computers all involve a lot of math. On the other hand to mathematicians, computer is a wonderful tool. I like playing tennis and table tennis, going on camping trips with my family, photographing, ballroom dancing with my wife, etc. I don't play bridge or chess games, because I don't like sitting down too long. I enjoy good company, good fo od, and good conversations.