A second order smooth variational principle on Riemannian manifolds

A second variation formula for Perelman's $\mathcal{W}$-functional along the modified Kähler-Ricci flow

A second-order identity for the Riemann tensor and applications

A semicontinuous trace for almost local operators on an open manifold

A sequence of connections and a characterization of Kähler manifolds

A sharp bound for the area of minimal surfaces in the unit ball

A sharp estimate for the bottom of the spectrum of the Laplacian on Kähler manifolds

A sharp lower bound for the scalar curvature of certain steady gradient Ricci solitons

A sharp stability estimate in tensor tomography

A sharp upper bound for the first eigenvalue of the Laplacian of compact hypersurfaces in rank-1 symmetric spaces

A short course on Witten Helffer-Sjöstrand theory

A short note on 2-step nilpotent Lie algebras associated with graphs

A short proof of Gromov's filling inequality

A short proof of the differential Grothendieck-Riemann-Roch theorem

A short proof of the Hölder-Poincaré Duality for $L_{p}$-cohomology

A short proof to the rigidity of volume entropy

A short survey on biharmonic maps between Riemannian manifolds

A Simple Geometric Representative for $μ$ of a Point

A Simple Proof for the Generalized Frankel Conjecture

A simple proof of Perelman's collapsing theorem for 3-manifolds