• Functional analysis/Harmonic Analysis; e.g. Operator (Matrix)-Valued function spaces, Fourier multipliers on nonabelian discrete groups/von Neumann algebras, Semigroups of operators, Noncommutative Lp spaces/Operator spaces.
• Stochastic processes; e.g. Maximal inequalities for martingales, Probability method of solving problem in analysis, Noncommutative Martingales.