[Alex Furman] [Papers] [Talks] [CV]

Some suggestions and links for grad students

I agree with what Terry Tao's career advice
Some tryout problems.
Ten challenging riddles/puzzles/problems of varying difficulty, take as much time as needed...

Students entering the field might start by learning the topics listed below. Some topics here are small and well defined, some are big subjects; many are old classics, some are close to current action. There is no good definition of what is meant by the field, but it includes rigidity phenomena for group actions, geometry and dynamics.
Some notes for above topics and further reading
Useful links
[Alex Furman] [Papers] [Talks] [CV]