Lie theory for fusion categories : a research primer / Andrew Schopieray -- Entanglement and the Temperley-Lieb category / Michael Brannan and Benoit Collins -- Lifting shadings on symmetrically self-dual subfactor planar algebras / Zhengwei Liu, Scott Morrison, and David Penneys -- Q-systems and compact W*-algebra objects / Corey Jones and David Penneys -- Dimension as a quantum statistic and the classification of metaplectic categories / Paul Bruillard, Paul Gustafson, Julia Plavnik, and Eric Rowell -- The rank of G-crossed braided extensions of modular tensor categories / Marcel Bischoff -- Symmetry defects and their application to topological quantum computing / Colleen Delaney and Zhenghan Wang -- Topological quantum computation with gapped boundaries and boundary defects / Iris Cong and Zhenghan Wang -- Classification of gapped quantum liquid phases of matter / Xiao-Gang Wen -- Schur-type invariants of branched G-covers of surfaces / Eric Samperton -- Quantum error-correcting codes over finite Frobenius rings / Andreas Klappenecker, Sangjun Lee, and Andrew Nemec -- A short history of frames and quantum designs / Bernhard Bodmann and John Haas.