Currently I am a 2nd year PhD student in Nanyang Technological University, Singapore. My research interest lies in functional analysis, particularly Banach Space Theory.
I would like to know what are the chances to land a post doc in this field after my graduation and subsequently a tenure track position. If possible, I would like to have some statistical information to observe the trend.
I frequently visit (literally everyday) Mathjobs to get an overall idea on how many post doc positions available on analysis (no PDE, by the way). Unsurprisingly, it is not a lot.
I know that it is extremely difficult to land a post doc nowadays due to oversupply of PhD graduates (I assume most PhD graduates would like to stay in academia). However, I do not want to stuck at working post doc and cannot rise to tenure track. I think this defeats the purpose of doing a post doc, as it is an intermediate step of obtaining a tenure track position. If this is case, then I think it would be better to work elsewhere straightaway after graduation.
EDIT: Geographically speaking, I prefer working in developed countries such as USA, UK, Korea, Japan, Singapore, Australia, etc.