Several complex variables and analytic spaces -- Geometric convexity -- Analytical consequences of geometric convexity (vanishing theorems, etc.) (1)
Differential geometry -- Global differential geometry -- Global Riemannian geometry, including pinching (1)
Functional analysis -- Linear function spaces and their duals -- Spaces of measurable functions ($Lp$-spaces, Orlicz spaces, the function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (1)
Functional analysis -- Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) -- Measures and integration on abstract linear spaces (1)
