Mathematics Problem Archive

For the Newtonian $n$-body problem with positive masses, are there only finitely many central configurations (relative equilibria) for each $n$?...

What is the optimal arrangement of $n$ points on the 2-sphere to minimize energy for various potential functions?...

Is the $C^r$ closing lemma true for dynamical systems?...

Determine the structure of centralizers of generic diffeomorphisms....