Surveys in Differential Geometry

Anomalous diffusion and stability of Harnack inequalities

From isoperimetric inequalities to heat kernels via symmetrization

Discrete isoperimetric inequalities

An excursion into geometric analysis

Eigenvalues of elliptic operators and geometric applications

Spectral gap, logarithmic Sobolev constant, and geometric bounds

Discrete analytic functions: An exposition

Conformal properties in classical minimal surface theory

Analysis of the cut locus via heat kernel

Analysis on Riemannian co-compact covers

Functoriality and small eigenvalues of Laplacian on Riemann surfaces

The inverse spectral problem