Courant Institute of Mathematical Sciences

Joint-RPCA: domain-aware multi-omics integration for systems microbiology

Integrating multi-omics data is essential for microbiome research, as microbial communities are shaped by and respond to interdependent processes, including taxonomic composition, metabolite production and utilization, and gene expression. However, accurately capturing ecosystem-...

Realization of unconventional staircase topological Anderson phase transitions

Topological Anderson insulators provide a paradigm for disorder-induced topology, in which the underlying system turns from a trivial to a topological phase. It is widely recognized that the latter disappears at large disorder amplitude. Here, and contrary to the general belief,...