HN user
The idea the neighbors of my neighbors are likely to be neighbors is basically an assumption of positive curvature. In large codimension embdedded submanifolds can have very negative curvature, in which case neighbors of neighbors might not be as likely to be neighbors as one might first think.
I created a throwaway just to pretend my salary isn't public record.
Location : Eugene, OR.
Position: Assistant Professor of Mathematics Tenure: 3 years Base pay (9 month) $72,000 in 2013, increased to about $75,000 in 2016. (minus union dues). Will increase to $82,000 when I make tenure.
Signing bonus: $0
Stock: $0
Pension : keeping my fingers crossed.
Experience when hire. Ph.D plus 5 years post-doc (at Princeton.)
Gender : M Native speaker: Yes.