Papers/preprints

My arXiv author page | My Google Scholar page

  1. The Segal-Neretin semigroup of annuli, submitted (with A. Henriques)
  2. Non-unitary Wightman CFTs and non-unitary vertex algebras, submitted (with S. Carpi, C. Raymond, and Y. Tanimoto)
  3. Classification of finite depth objects in bicommutant categories via anchored planar algebras, submitted (with A. Henriques and D. Penneys)
  4. Unitary anchored planar algebras [APA #3], Commun. Math. Phys. 405, 137 (2024) (with A. Henriques and D. Penneys)
  5. Unitary vertex algebras and Wightman conformal field theories, Commun. Math. Phys. 395, 299–330 (2022) (with C. Raymond and Y. Tanimoto)
  6. Fusion and positivity in chiral conformal field theory [GRACFT #3], GAFA, 34 (2024), no. 4, 1226-1296
  7. Classification of extremal vertex operator algebras with two simple modules, J. Math. Phys., 61 (2020), no. 5, 052302 (with J.C. Grady, CH. Lam, and H. Yamauchi)
  8. Representation theory in chiral conformal field theory: from fields to observables [GRACFT #2], Selecta Math. (N.S.) (2019), 25:76
  9. Positivity and fusion of unitary modules for unitary vertex operator algebras, RIMS Kôkyûroku (2018), no. 2086, 6-13
  10. Singular values of weighted composition operators and second quantization, Int. Math. Res. Not. (2018), no. 20, 6426-6441 (with M. Putinar)
  11. On classification of extremal non-holomorphic conformal field theories, J. Phys. A: Math. Theor. 50 (2017) 115204 (with Z. Wang)
  12. Geometric realization of algebraic conformal field theories [GRACFT #1], Adv. Math. 349 (2019), 488-563
  13. Construction of the unitary free fermion Segal CFT, Commun. Math. Phys. 355 (2017), no. 2, 463-518
  14. Planar algebras in braided tensor categories [APA #2], Mem. Amer. Math. Soc. 282 (2023), no. 1392 (with A. Henriques and D. Penneys)
  15. Categorified trace for module tensor categories over braided tensor categories [APA #1], Documenta Math. 21 (2016) 1089-1149 (with A. Henriques and D. Penneys)
  16. Subfactors of index less than 5, part 4: vines, Int. J. Math. 23 (2012), no. 3, 1250017 (with D. Penneys).
  17. 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)
  18. Unitary equivalence of a matrix to its transpose, J. Operator Theory 68:1 (2012), 179-203 (with S.R. Garcia).
  19. 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).
  20. Unitary equivalence to a complex symmetric matrix: an algorithm J. Math. Anal. Appl. 341 (2008) 640-648.

Other writing

Theses supervised

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Conferences co-organised