During 2024–25, the CMSA will host a seminar on Quantum Matter in Mathematics and Physics, organized by Ahsan Khan, Robert Moscrop, and Sunghyuk Park.

This seminar will take place on Fridays at 9:00–10:30 am (Eastern Time) through October. In November, seminars will be held from 10:00–11:30 am. To learn how to attend this seminar, please fill out this form.

The schedule will be updated as talks are confirmed.

Videos are available at the Quantum Matter in Mathematics and Physics Youtube Playlist

  • Exactly Solvable Lattice Hamiltonians and Gravitational Anomalies

    Abstract: We construct infinitely many new exactly solvable local commuting projector lattice Hamiltonian models for general bosonic beyond group cohomology invertible topological phases of order two and four in any spacetime […]

  • Callan Rubakov Effect and Higher Charge Monopoles

    Virtual

    Abstract: In this talk we will discuss the interaction between magnetic monopoles and massless fermions. In the 1980’s Callan and Rubakov showed that in the simplest example and that fermion-monopole interactions […]

  • Anomalies, topological insulators and Kaehler-Dirac fermions

    Virtual

    Abstract: Motivated by a puzzle arising from recent work on staggered lattice fermions we introduce Kaehler-Dirac fermions and describe their connection both to Dirac fermions and staggered fermions. We show that they […]

  • Summing Over Bordisms In 2d TQFT

    Virtual

    Abstract: Some recent work in the quantum gravity literature has considered what happens when the amplitudes of a TQFT are summed over the bordisms between fixed in-going and out-going boundaries. We […]

  •  A Hike through the Swampland

    https://youtu.be/9Mq9Jvmo3ic Abstract: The Swampland program aims at uncovering the universal implications of quantum gravity at low-energy physics. I will review the basic ideas of the Swampland program, formal and phenomenological implications, […]

  • Non-zero momentum requires long-range entanglement

    Youtube Video   Abstract: I will show that a quantum state in a lattice spin (boson) system must be long-range entangled if it has non-zero lattice momentum, i.e. if it is […]

  • Renormalization group flow as optimal transport

    Youtube Video   Abstract: We show that Polchinski’s equation for exact renormalization group flow is equivalent to the optimal transport gradient flow of a field-theoretic relative entropy.  This gives a surprising information-theoretic formulation of the […]

  • Lattice Gauge Theory View of Toric Codes, X-cube, and More

    Virtual

    Youtube Video   Abstract: Exactly solvable spin models such as toric codes and X-cube model have heightened our understanding of spin liquids and topological matter in two and three dimensions. Their […]