I categorize problems on a conceptual-technical spectrum. That is

**Type 1**We have a question in words, but we don't know how to state a precise mathematical problem which both seems capable of solution and whose solution would be interesting.**Type 2**We have a precise mathematical problem, but we do not see any plausible outline for a potential proof.**Type 3**We have a precise mathematical problem, and a plausible outline for a potential proof, but we cannot carry through the technical details.

- (0.7) Congestion in networks: SOC, HOT and the percolation-fragmentation phase transition.
- (1.7) The constrained Ising model as an algorithm for storage in dynamic graphs.
- (2.0) Spectral gap for the interchange (exclusion) process on a finite graph.
- (2.1) Mixing times for the branch-rotation chain on cladograms
- (2.2) Scaling window for percolation of averages in the mean-field setting
- (2.8) Power laws and killed branching random walk

In a different realm, I really really really want someone to do this simulation. Of course, it's not easy!