C. Bellettini

• Stable hypersurfaces with prescribed mean curvature

C. Bishop

• Harmonic measure: Algorithms and applications

G. De Philippis

• On the structure of measures constrained by linear PDEs

D. De Silva

• Viscosity solutions approach to variational problems

A. Figalli

• Regularity of interfaces in phase transitions via obstacle problems

• Regularity of interfaces in phase transitions via obstacle problems (ICM 2018)

• Quantitative stability results for the Brunn-Minkowski inequality (ICM 2014)

• The De Giorgi conjecture for the half-Laplacian in dimension 4 (Lecture 1)

• The De Giorgi conjecture for the half-Laplacian in dimension 4 (Lecture 2)

• Stable solutions to elliptic PDEs

Y. Jhaveri

• Higher Regularity of the Singular Set in the Thin Obstacle Problem

A. Logunov

• New results on Landis conjecture and Yau's conjecture

F. Maggi

• Plateau's problem as a capillarity problem

• Isoperimetry and boundaries with almost constant mean curvature

E. Malinnikova

• Two questions of Landis and their applications

• An improvement of Liouville theorem for discrete harmonic functions

• Yau's conjecture on zero sets of Laplace eigenfunctions

D. Mangoubi

• Harmonic functions - positivity and convexity

J. Park

• An isoperimetric inequality for the Hamming cube and some consequences

X. Ros-Oton

• Generic regularity of free boundaries for the obstacle problem

O. Savin

• The singular set in the fully nonlinear obstacle problem

M. Sodin

• Nodal sets of random spherical harmonics

J. Toth

• The nodal intersection problem for Laplace eigenfunctions

H. Yu

• The singular set in the fully nonlinear obstacle problem

N. Wickramasekera

• Nature of some stationary varifolds near multiplicity 2 tangent planes

• Regularity of weakly stable codimension 1 CMC varifolds