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Quantum spin liquids
Symmetry protected topological (SPT) phases
Symmetry enriched topological (SET) orders
Fractional quantum Hall liquids
Symmetry and filling constraints on topology: Lieb-Schultz-Mattis (LSM) Theorems
Topological magnons
Topological crystalline materials
Unconventional Superconductivity
Dirac and Weyl semimetals
Entanglement in fracton phases
Entanglement in gapped boundaries of topological orders
Entanglement characterization of measurement-driven phase transitions in random unitary circuits
Topological phase transitions driven by anyon condensation
Spontaneous symmetry breaking in topological phase transitions
Deconfined quantum criticality between symmetry protected topological phases
You can find my papers on Google Scholar or arXiv
Selected talks:
"Detecting symmetry fractionalization by magnetic impurities" (Simons Center 2022)
"Spontaneous symmetry breaking from anyon condensation" (Perimeter Institute/CMSA@Harvard/Casa Matematica Oaxaca, 2019)
"Classification of Topological Magnons" (APS March Meeting 2019, Boston)
"Tunable Surface States of Dirac Semimetals" (GRC 2017 on Topological and Correlated Matter, Hong Kong)
Lieb-Schultz-Matthis theorems for Symmetry Protected Topological phases (Simons Center 2017)
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