Quantum Matter in Mathematics and Physics

The CMSA will be hosting a year-long program on Quantum Matter in Math and Physics during academic year 2019-2020.  This program will foster in-depth discussions and strive for cross-field collaborations between mathematics and physics, including on the subjects of condensed matter, quantum many-body physics and quantum information, high-energy particle physics, quantum field theory, and string theory, and mathematics including geometry, topology, and category theory via algebraic or analysis methods.


  • Juven Wang (Harvard/IAS Princeton)
  • Xiao-Gang Wen (MIT)
  • Shing-Tung Yau (Harvard)


  • Ryan Thorngren (Harvard/Weizmann Institute of Science)
  • Yifan Wang (Harvard/Princeton)
  • Wei Gu (CMSA)
  • Du Pei (CMSA)

Additional points of study and discussion will include:

  • Topological gapped phases of matter and quantum anomalies: Bulk physics of Symmetry-Protected Topological state (SPTs), Symmetry-Enriched Topological Ordered state (SETs), and fractal or fractonic matter, with particular emphasis on higher-symmetries,sub-dimensional or subsystem symmetries, entanglement structures, and their boundary phenomena and dynamical constraints.
  • Critical phenomena, gapless phases, and phase transitions: Emergent or approximate conformal field theories, interactions effects to Fermi surfaces, Weyl semimetal, high-temperature superconductor such as cuprate, and strange metal, or twisted bilayer graphenes.
  • Non-perturbative effects in condensed matter and gauge theories: Applications to fractional quantum Hall states, quantum spin liquids and exotic lattice models, strong/weak interactions and beyond Standard Model physics.

On December 2-4, 2019 the CMSA will be hosting a workshop on Quantum Matter as part of our program on Quantum Matter in Mathematics and Physics

The CMSA will also be hosting a weekly seminar on Quantum Matter/Quantum Field Theory. The seminar will take place from 10:30-12:00pm in room G10.

Here is a partial list of the mathematicians and physicists who have indicated that they will attend part or all of this special program as a visitor. A full list of speakers for the Quantum Matters seminar and series on Strongly Correlated Quantum Materials and
High-Temperature Superconductors Series can be found here.