Welcome
Welcome to the topological matter theory research group at Columbia University. We investigate quantum phenomena of condensed matter systems and are fascinated with symmetry and topology. We explore how topology crucially influences fundamental characteristics of solid-state materials.
News
Nish to give an invited talk at the APS Global Summit 2025
Tune in at invited session Quantum Geometry in Interacting Flat Bands
Raquel wins Sloan Fellowship
Raquel Queiroz has won the 2025 Sloan Research Fellowship! The Sloan Fellowship is one of the most distinguished honors awarded to early-career scholars who exemplify the innovation of elite emerging scientists.
What makes diamonds pretty?
Ellen Neff wrote a nice article about our recent work published in Nature Communications:
https://quantum.columbia.edu/news/what-makes-diamond-pretty
Featured Publications
Research Projects
Classification of topological matter
Topological phases appear in many forms and shapes. We strive for a exhaustive understanding of the topology of condensed matter systems, studying novel phases, novel invariants and boundary signatures.
Disordered topological matter
Dirt and impurities are unavoidable in real physical systems. They break translation symmetry and invalidate Bloch's theorem. But can we still find order in disorder? Are there topological invariants that subside these harsh conditions?