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  1. Positivity and fusion of unitary modules for unitary vertex operator algebras, submitted to RIMS Kôkyûroku (expository)
  2. Singular values of weighted composition operators and second quantization, Int. Math. Res. Not. (with M. Putinar)
  3. On classification of extremal non-holomorphic conformal field theories, J. Phys. A: Math. Theor. 50 (2017) 115204 (with Z. Wang)
  4. Geometric realization of algebraic conformal field theories, submitted
  5. Construction of the unitary free fermion Segal CFT, Commun. Math. Phys. 355 (2017), no. 2, 463-518
  6. Planar algebras in braided tensor categories, submitted (with A. Henriques and D. Penneys)
  7. Categorified trace for module tensor categories over braided tensor categories, Documenta Math. 21 (2016) 1089-1149 (with A. Henriques and D. Penneys)
  8. Subfactors of index less than 5, part 4: vines, Int. J. Math. 23 (2012), no. 3, 1250017 (with D. Penneys).
  9. Unitary equivalence to a complex symmetric matrix: low dimensions, Lin. Alg. Appl. 437 (2012), no. 1, 271-284 (with S.R. Garcia and D.E. Poore)
  10. Unitary equivalence of a matrix to its transpose, J. Operator Theory 68:1 (2012), 179-203 (with S.R. Garcia).
  11. Projections and idempotents with fixed diagonal and the homotopy problem for unit tight frames, Oper. Matrices 5 (2011) 139-155 (with J. Giol, L.V. Kovalev, D. Larson and N. Nguyen).
  12. Unitary equivalence to a complex symmetric matrix: an algorithm J. Math. Anal. Appl. 341 (2008) 640-648.

Articles in preparation

Please contact me if you are interested in a preliminary draft of the following.
  • Fusion rules for Jones-Wassermann subfactors via vertex operator algebras, in preparation
  • Construction of unitary Segal CFTs from conformal nets, in preparation (with A. Henriques)

Other writing

Upcoming talks/conferences/travel:

Selected conference and colloquium talks and talk notes:

Conferences (co)organized