Selected Publications



  • D. Bisch, On the existence of central sequences in subfactors, Trans. Amer. Math. Soc. 321 (1990), 117--128.
  • D. Bisch, Entropy of groups and subfactors, J. of Funct. Anal. 103 (1992), 190--208.
  • D. Bisch, A note on intermediate subfactors, Pacific J. Math. 163 (1994), 201--216.
  • D. Bisch, An example of an irreducible subfactor of the hyperfinite II1 factor with rational, noninteger index, J. reine angew. Math. 455 (1994), 21--34.
  • D. Bisch and U. Haagerup, Composition of subfactors: new examples of infinite depth subfactors, Ann. Scient. Ec. Norm. Sup. 29 (1996), 329--383.
  • D. Bisch, Bimodules, higher relative commutants and the fusion algebra associated to a subfactor, The Fields Institute for Research in Mathematical Sciences Communications Series, Vol. 13 (1997), 13--63.
  • D. Bisch and V.F.R. Jones, Algebras associated to intermediate subfactors, Invent. Math. 128 (1997), no. 1, 89--157.
  • D. Bisch and S. Popa, Examples of subfactors with property T standard invariant, Geom. Funct. Anal. 9 (1999), no. 2, 215--225.
  • D. Bisch and V.F.R. Jones, Singly generated planar algebras of small dimension, Duke Math. Journal 101 (2000), no. 1, 41--75.
  • D. Bisch, Subfactors and planar algebras, Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 775--785.
  • D. Bisch and V.F.R. Jones, Singly generated planar algebras of small dimension, Part II, Advances Math. 175 (2003), no. 2, 297--318.
  • T. Banica and D. Bisch, Spectral measures of small index principal graphs, Comm. Math. Phys. 269 (2007), 259-281.
  • D. Bisch, R. Nicoara and S. Popa, Continuous families of hyperfinite subfactors with the same standard invariant,International Journal of Mathematics, Vol. 18, No. 3 (2007) 255-267.
  • D. Bisch, P. Das and S. K. Ghosh, The planar algebra of group-type subfactors, J. Funct. Anal., Vol. 257, No. 1 (2009), 20-46.
  • D. Bisch, P. Das and S. K. Ghosh, The planar algebra of diagonal subfactors, Quanta of maths, 23–47, Clay Math. Proc., 11, Amer. Math. Soc., Providence, RI, 2010.
  • D. Bisch, P. Das and S. K. Ghosh, The planar algebra of group-type subfactors with cocycle, preprint.
  • D. Bisch, V. Jones and Z. Liu Singly generated planar algebras of small dimension, Part III preprint, arXiv:1410.2876.


    The preprints are available in PDF format and can be downloaded by clicking on the link.



    This material is based upon work supported by the National Science Foundation under grants DMS-0301173, DMS-0653717 and DMS-1001560.



    Last update: 11/12