Some Questions in the Theory of Pseudoholomorphic Curves

This survey article, in honor of G. Tians 60th birthday, is inspired by R. Pandharipandes 2002 note highlighting research directions central to Gromov-Witten theory in algebraic geometry and by G. Tians complex-geometric perspective on pseudoholomorphic curves that lies behind many important developments in symplectic topology since the early 1990s.