Vijay's Page
Vijay Kodiyalam
Some announcements of conferences/workshops:
Instructional Workshop on Subfactors and Planar Algebras, March 26  April 3, 2012.
SunderFest 2012, April 4  April 6, 2012.
Research
My training is as a commutative algebraist and I retain an interest in commutative algebra and
algebraic geometry. However my current interests are in subfactor theory, planar algebras,
free probability theory and quantum algebra.
List of publications
Links below are dummy as of now.
Monograph
 Topological quantum field theories from subfactors, with
V. S. Sunder, CRC Research Notes in Mathematics Series, 423,
2000.
Papers
 From graphs to free products, with
Madhushree Basu and V. S. Sunder, Proc. (MathSci) of the Indian Acad. of
Sciences (to appear), and eprint arXiv math. OA/1102.4413.
 On the GuionnetJonesShlyakhtenko
construction for graphs, with V. S. Sunder, Journal of
Functional
Analysis, 260 (2011) 2635  2673; and eprint arXiv math. OA/0911.2047.
 GuionnetJonesShlyakhtenko
subfactors associated to finitedimensional Kac algebras, with V. S. Sunder
Journal
of Functional Analysis, Vol. 257, (2009), 39303948 and eprint arXiv
math.OA/0901.3180.
 From subfactor planar algebras to
subfactors, with V. S. Sunder,
Internat. J. Math. vol. 20, No. 10, pp. 12071231, 2009, and
eprint arXiv math.OA/0807.3714.
 Planar algebras and Kuperberg's
3manifold invariant, with V. S. Sunder,
Journal of Operator Theory, vol. 63, No. 1, (2010), 101122,
and eprint arXiv math.OA/0807.3714.
 TemperleyLieb and Noncrossing
Partition planar algebras , with V. S. Sunder,
Noncommutative Rings, Group Rings,
Diagram Algebras and Their Applications Edited by: S. K. Jain, Ohio
University, Athens, OH, and S. Parvathi, University of Madras,
Chennai, India, Contemp. Math., Vol. 456, (2008).
 Alternating matrices over commutative rings
, with T. Y. Lam and R. Swan, Noncommutative Rings, Group Rings,
Diagram Algebras and Their Applications Edited by: S. K. Jain, Ohio
University, Athens, OH, and S. Parvathi, University of Madras,
Chennai, India, Contemp. Math., Vol. 456, (2008).
 Subfactors and 1+1dimensional TQFTs,
with Vishwambhar Pati and V. S. Sunder, International
Journal of Mathematics, Vol. 18, No. 1 (2007) 69112, eprint arXiv
math.QA/0507050.
 The planar algebra of a semisimple
and cosemisimple Hopf algebra, with V. S. Sunder,
Ind. Acad. of Sci., vol. 116
no. 4, (2006), 443458; and eprint arXiv math.QA/0506153.
 Picture invariants
and the isomorphism problem for complex semisimple Lie algebras ,
with K. N. Raghavan, Contemporary Mathematics, Vol 390, P.127136, 2005.

Bounds on the ainvariant and reduction numbers of ideals ,
with Clare D'Cruz and J. K. Verma, Journal of Algebra, Vol 274, No 2,
P.594601, 2004.
 A complete set of numerical invariants for a subfactor,
with V. S. Sunder
Journal of Functional Analysis, Vol 212, No 1,
P.127, 2004.
 Complete invariants of complex semisimple Hopf algebras,
with Sumanth Datt and V. S. Sunder, Mathematics Research
Letters, Vol 10, P.571586, 2003.
 Planar algebras and the OcneanuSzymanski theorem, with
Paramita Das
Proceedings of the American Mathematical
Society, Vol 133, P. 27512759, 2005.
 On Jones' planar algebras, with V. S. Sunder,
Journal of Knot Theory and its Ramifications, Vol 13, No.2, P.219248, 2004.
 The planar algebra associated to a Kac algebra, with V. S.
Sunder and Zeph Landau, Proceedings of the Indian Academy of Sciences, Vol
113, P.1551, 2003.
 Hilbert functions of points on Schubert varieties in the
Grassmannian, with K. N. Raghavan, Journal of Algebra, Vol 270, No 1,
P. 2854, 2003.
 Spectra of principal graphs, with V. S. Sunder,
International Journal of Mathematics, Vol 12, No 2, P. 203210, 2001.
 Flatness and fusion coefficients, with V. S. Sunder,
Pacific Journal of Mathematics, Vol 201, P. 177  204, 2001.
 The algebra of Grelations, with R. Srinivasan and V. S.
Sunder,
Proceedings of the Indian Academy of Sciences, Vol 110, No 3, P. 263292,
2000.
 The subgroup subfactor, with V. S. Sunder,
Mathematica Scandinavica, Vol 86, P. 4574, 2000.

Asymptotic behaviour of CastelnuovoMumford regularity
,
Proceedings of the American Mathematical Society, Vol 128, P. 407411,
2000.
 Symmetric powers of a complete module over a twodimensional
regular local ring, with D. Katz,
Transactions of the American Mathematical Society, Vol 349, P. 747762,
1997.
 Integrally closed modules over twodimensional regular local rings
,
Transactions of the American Mathematical Society, Vol 347, P. 35513573, 1995.
 Homological invariants of powers of an ideal
,
Proceedings of the American Mathematical Society, Vol 118, P. 757764,
1993.
Personal Information:
Address (Residence): P5, Prime Terrace;
150 LB Road;
Thiruvanmiyur;
Chennai 600 041, India.
PHONE(IMSc): (044) 2254 3212,2254 3100
PHONE(Home) : (044) 2442 2188
FAX(IMSc) : (044) 2254 1586
TELEGRAMS : MATSCIENCE, MADRAS 600 113
EMAIL : vijay@imsc.res.in