A geometric characterization of $C^{1,\alpha}$-rectifiability in Heisenberg groups

Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings

A variational approach to non-local interactions: discrete-to-continuum analysis,
ground states and geometric evolutions

Sobolev type inequalities in the Heinseberg group
and applications to critical problems

De Giorgi's inequality for the thresholding scheme

Generalizing the Differential Quotient and the Lie Brackets - Towards a non-smooth geometric control theory

Optimal one-dimensional structures for the principal eigenvalue of two-dimensional domains

Recent developments on fractional perimeters in Gauss space