Papers/preprints

My arXiv author page | My Google Scholar page

  1. Classification of extremal vertex operator algebras with two simple modules (with J.C. Grady)
  2. Representation theory in chiral conformal field theory: from fields to observables
  3. Positivity and fusion of unitary modules for unitary vertex operator algebras, submitted to RIMS Kôkyûroku (expository)
  4. Singular values of weighted composition operators and second quantization, Int. Math. Res. Not. (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, submitted
  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, submitted (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:

  • NZMRI Summer School on Random Matrix Theory, Waikanae, New Zealand, January 2019
  • Subfactors in Sydney, University of New South Wales, Sydney, Australia, February 2019 (organizer)
  • Workshop on Quantum Symmetries, ANU Kioloa Coastal Campus, Kioloa, Australia, February 2019 (organizer)
  • NCGOA/Shanks conference on Topological Quantum Computation, Vanderbilt University, Nashville, USA, May 2019
  • Oberwolfach workshop Subfactors and Applications, Oberwolfach, Germany, October 2019

Selected conference and colloquium talks and talk notes:

Conferences co-organized