Rademacher type and Enflo type coincide [video] (I also like the exposition in this blog)

Exponential integrability for the Gaussian measure [video], [slides]

Sharpening the triangle inequality [video], [slides]

Weissler's conjecture; [video].

Ehrhard's inequality.

Poincare 3/2.

Square function and the Hamming cube: duality.

Torsion, developable surfaces, and BMO.

Burkholder's inequality.

Bundling problem (for high school students)