Selected Publications
1. D. Bisch,
On the existence of central sequences in subfactors,
Trans. Amer. Math. Soc.
321
(1990), 117--128.
2. D. Bisch, Entropy of groups
and subfactors, J. of Funct. Anal.
103 (1992),
190--208.
3. D. Bisch,
A note on intermediate subfactors,
Pacific J. Math.
163 (1994), 201--216.
4. 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.
5. D. Bisch and U. Haagerup,
Composition of subfactors: new examples of infinite depth subfactors,
Ann. Scient. Ec. Norm. Sup.
29 (1996), 329--383.
6. 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.
7. D. Bisch and V.F.R. Jones,
Algebras associated to intermediate subfactors,
Invent. Math.
128 (1997), no. 1, 89--157.
8. D. Bisch and S. Popa,
Examples of subfactors with property T standard invariant,
Geom. Funct. Anal.
9 (1999), no. 2, 215--225.
9. D. Bisch and V.F.R. Jones,
Singly generated planar algebras of small dimension,
Duke Math. Journal
101 (2000), no. 1, 41--75.
10. D. Bisch,
Subfactors and planar algebras,
Proceedings of the International Congress of Mathematicians, Vol. II
(Beijing, 2002), 775--785.
11. D. Bisch and V.F.R. Jones,
Singly generated planar algebras of small dimension, Part II,
Advances Math.
175 (2003), no. 2, 297--318.
12. T. Banica and D. Bisch,
Spectral measures of small index principal graphs,
Commun. Math. Phys. 269 (2007), 259-281.
13. 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.
14. D. Bisch, P. Das and S.K. Ghosh,
The planar algebra of group-type subfactors,
J. Funct. Anal. 257 (2009), no. 1, 20-46.
15. 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.
16. D. Bisch, P. Das and S.K. Ghosh,
The planar algebra of group-type subfactors with cocycle,
preprint.
17. D. Bisch, V. Jones and Z. Liu,
Singly generated planar algebras of small dimension, Part III,
Trans. Amer. Math. Soc. 369 (2017) 2461-2476.
18. D. Bisch, P. Das, S.K. Ghosh, N. Rakshit,
Tube algebra of group-type subfactors, Internat. J. Math. 28 (2017),
no. 10, 32 pp.
19. D. Bisch and V. Jones,
Free product for planar algebras, and subfactors,
in preparation.
20. D. Bisch,
Degrees of noncommutativity for subfactors,
in preparation.
21. D. Bisch, D.E. Evans, R. Kirby and S. Popa,
Memories of Vaughan Jones, , Notices Amer. Math. Soc.
68 (2021), no. 9, 1540–1563.
22. D. Bisch,
Vaughan Jones – Friend, Mentor and Collaborator,
Pure Appl. Math. Q. 19 (2023), no. 5, 2235-2239.
23. D. Bisch and J. Caceres,
Graph planar algebra embeddings and infinite depth subfactors,
arXiv:2410.14819.
24. D. Bisch and J. Caceres,
New hyperfinite subfactors with infinite depth,
in preparation.
This material is based upon work supported by the National Science
Foundation under grants DMS-0301173, DMS-0653717, DMS-1001560,
DARPA grants HR0011-11-1-001, HR0011-12-1-0009,
Simons Foundation Collaboration Grant #359625, and
US ARO Grant W911NF-23-1-0026.
Last update: 10/24