advice of sir michael atiyah on research

Here are a few remarks about doing research in mathematics.

1.  There are many different routes, reflecting the individual and the 
area.  All  are needed, there is no unique solution.

2. Best advice is to follow your own interests and inner feelings.

3.  Listen to the advice of your teachers but do not always follow it.

3. Research is hard work that hits many obstacles.  It can be 
discouraging especially at first.

4.  A passion for the subject is necessary to overcome these obstacles.

5. Maintain a broad interest in various areas of mathematics.  Help may 
come from unexpected directions.

6. The reward comes from  successfully solving problems through 
understanding.

Michael Atiyah