In this talk, we will discuss some recent works concerning rigidity of rough metric with suitable weak scalar curvature lower bound via Ricci flow. 

We investigate the behaviour of a finite chain of Brownian particles, interacting through a pairwise linear force, with one end of the chain fixed and the other end  pulled away at slow speed, in the limit of slow speed and small Brownian noise.

In a recent paper by Bazier-Matte and Schiffler, they discovered an unexpected connection between quiver representation and Alexander polynomial of links.

This talk reviews statistical methods for evaluating heterogeneous treatment effects (HTE) from randomized clinical trials and observational data including subgroup identification and estimation of individualized treatment regimens.