My arXiv author page | My Google Scholar page

  1. Classification of extremal vertex operator algebras with two simple modules, submitted (with J.C. Grady)
  2. Representation theory in chiral conformal field theory: from fields to observables, submitted
  3. Positivity and fusion of unitary modules for unitary vertex operator algebras (expository), RIMS Kôkyûroku (2018), no. 2086, 6-13
  4. Singular values of weighted composition operators and second quantization, Int. Math. Res. Not. (2018), no. 20, 6426-6441 (with M. Putinar)
  5. On classification of extremal non-holomorphic conformal field theories, J. Phys. A: Math. Theor. 50 (2017) 115204 (with Z. Wang)
  6. Geometric realization of algebraic conformal field theories, Adv. Math. 349 (2019), 488-563
  7. Construction of the unitary free fermion Segal CFT, Commun. Math. Phys. 355 (2017), no. 2, 463-518
  8. Planar algebras in braided tensor categories, Mem. Amer. Math. Soc., to appear (with A. Henriques and D. Penneys)
  9. Categorified trace for module tensor categories over braided tensor categories, Documenta Math. 21 (2016) 1089-1149 (with A. Henriques and D. Penneys)
  10. Subfactors of index less than 5, part 4: vines, Int. J. Math. 23 (2012), no. 3, 1250017 (with D. Penneys).
  11. 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)
  12. Unitary equivalence of a matrix to its transpose, J. Operator Theory 68:1 (2012), 179-203 (with S.R. Garcia).
  13. 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).
  14. Unitary equivalence to a complex symmetric matrix: an algorithm J. Math. Anal. Appl. 341 (2008) 640-648.

Other writing

Theses advised

Upcoming conferences:

  • Oberwolfach workshop Subfactors and Applications, Oberwolfach, Germany, October 2019
  • MSRI Program on Quantum Symmetries, Berkeley, USA, January 2020 - May 2020
  • The Mathematics of Conformal Field Theory, Australian National University, Canberra, Australia, July 2020 (organiser)

Selected conference and colloquium talks and talk notes:

Conferences co-organized