In my undergraduate years I mainly focused on analysis, and have done two research projects in analysis.
However, when the application results turned out, the best school that gave me an offer is not particularly strong in analysis, but in topology/ geometry. This is something I am also interested in but have no true working experience.
Thus I wonder whether it is common for a graduate school to work in a totally new area? If it is common I would accept that offer, otherwise I will go to a less well-known school but a little bit stronger in analysis.
Thanks very much!