This is me.

I *do* mathematics at my institute.

Here are a workshop and a conference my colleague Vijay had little choice `organising' - (the poor chap had me doing some back-seat driving, to boot!) - because I couldn't possibly be obviously organising them myself:

Here are some announcements of conferences/workshops I have conducted in the past:

Here are the pdf files of some talks I have given at assorted places:

- Planar algebras and 1+1-dimensional TQFTs (lectures given at UBC, Vancouver in September 2006)
- Hopf C^*-algebras and their quantum doubles - from the point of view of subfactors (lecture given at Max-Planck Institut in Bonn in August 2007)
- $II_1$ factors and Ergodic Theory (lecture given at ISI, Bangalore in February 2008)
- Non-crossing partition and 2-cabled Temperley-Lieb planar algebras (lecture given at BIRS, Banff in March 2008)
- von Neumann algebras and free probability (lecture given at the Ramanujan Math. Society at Bangalore in May 2009)
- Catalan numbers (lecture given at CESCI, Madurai to school students on August 25, 2009.)
- Free probability: classical and free CLTs (lecture given at ISI, Bengaluru in November 2009)
- On the GJS construction for graphs: I. Presentation of two categories (first of two-part lecture given along with Vijay Kodiyalam at Vanderbilt University in May 2010)
- Hilbert von Neumann modules (lecture given at ISI, Bengaluru in January 2011)

- Temperley-Lieb algebras and non-crossing partitions (lecture given at the Ramanujan Institute for Advanced Study in Mathematics)
- When is a knot not the unknot? (lecture given at IMSc)
- Braids (lecture given at Ethiraj College)
- The Perron Frobenius Theorem (lecture given at Chennai Mathematical Institute)
- Transfinite considerations (lecture given to finishing school students at IIT, Madras)
- Self-adjoint operators and their spectra (lecture given at IIT, Madras in April 2011)

Here are the pdf files of a course of lectures I gave (at IIT Kanpur,
ISI Kolkata and at IISc Bangalore during 2008-'09) as part of the
"Panorama of Mathematics"
series organised by the National Board for Higher Mathematics. The course was
titled *"Operator algebras - Stage for non-commutativity"*,
and consisted of five lectures, as follows:

- $C^*$-algebras: the Gelfand Naimark Theorems
- K-theory of $C^*$-algebras
- von Neumann algebras
- $II_1$ factors and subfactors
- The Jones polynomial invariant of knots

Here are the pdf files of a course of lectures I gave at IIT, Bombay, in
April 2007, on *"Temperley-Lieb algebras"*

Here are the pdf files of a course of lectures I gave on von Neumann algebras at IISc, Bangalore in March 2006.

Here is an announcement of some lectures a couple of us gave to beginning undergraduate students in the Chennai area:

More material on the linear algebra course which I taught.

*Bounded Integral operators on $L^2$-spaces*, with P.R. Halmos, Ergeb. der Math., No. 96, Springer-Verlag, Berlin, 1978. (M.R. 80g:47036 and 87f:47041, Zbl 573.47020, 389.47001).*An invitation to von Neumann algebras*, Universitext, Springer-Verleg, New York, 1986. (M.R. 88f:46115, Zbl 616.46052).*Introduction to Subfactors*, with Vaughan Jones, London Math. Soc. Lect. Note Series, No. 234, Cambridge Univ. Press, Cambridge, 1997. (M.R.98h:46067 Zbl 903.46062).*Functional Analysis: Spectral Theory*, TRIM Series, No. 13, Hindustan Book Agency, Delhi, 1997, and Birkhauser Advanced Texts, Basel, 1997. (M.R. 99h:47001, Zbl 957.47001, 919.46002).*Topological quantum field theories from subfactors*, with Vijay Kodiyalam, CRC Research Notes in Mathematics Series, 423, 2000 (Zbl 992.07801).*Measure and Probability*, with Siva Athreya, Universities Press, Hyderabad, 2008. (ISBN:978-81-7371-613-3)

*Two characterisation theorems for integral operators*, Integral Eqns. and Oper. Theory, 1(1978), 250-269. (M.R.80d:47079, Zbl 376.47024).*Absolutely bounded matrices*, Indiana Univ Math. J. 27, (1978),919-927. (M.R. 80d:47052, Zbl 419.47011).*Algebra of kernels*, J of the Indian Math. Soc., 44, (1979), 143-156. (M.R. 86j:47076, Zbl 621.47031).*Unitary equivalence to integral operators*, Pacific J, of Math. 92, (1981), 211-215 (M.R. 82f:47045, Zbl 508.47020).*A non-commutative analogue of $|D X^k| = |k x^{k-1}|$*, Lin. Alg. and Applicns, 44(1982), 87-95, (M.R. 83h:47004, Zbl 486.46050).*Distance between normal operators*, Proc. Amer. Math. Soc. 84(1982), 483-484, (M.R. 83c:47040, Zbl 486.47015).*On permutations, convex hulls and normal operators*, Lin Alg and Applicns., 48,(1982),403-411.(M.R.85b:15032, Zbl 537.15014).*A spectrum modulo operators of rank less than n*, Math. Today , 1,(1983), 81-88. (M.R.85a:47018, Zbl 532.47010).*On ideals and duals of $C^*$-algebras*, Indian J. of Pure and Appl. Math, 15,(1984),601-608.(M.R.85i:46079, Zbl 588.46039).*On majorisation and Schur products*, with R.B. Bapat, Lin. Alg and Applicns., 72,(1985), 107-117. (M.R.87c:15018, Zbl 577.15016).*An extremal property of the determinant and the permanent*, with R.B. Bapat, Lin. Alg. and Applicns, 76, (1986), 153-164.(M.R.87j:15012, Zbl 602.15008).*Stochastic integration in Fock space*, Pac. J. of Math., 122,(1986), 481-491. (M.R.88c:60126, Zbl 583.60051, 543.60063).*A model for AF-algebras and a representation of the Jones projections*, J. of Oper. Theory, 18,(1987),289-301.(M.R.89e:46079, Zbl 693.46054).*N subspaces*, Canadian J. of Math., Vol XL, No.1,(1988), 38-54. (M.R.89i:46023, Zbl 656.46017).*Monomials in the Jones projections*, Proc. Amer. math. Soc., 103, (1988),761-764. (M.R.89f:46119, Zbl 673.46040).*Hypergroups and subfactors*, Proc. of a symposium on Operator Theory and Functional Analysis, Cochin (1989) 49-65. (M.R. 91 m: 46096, Zbl 718.46035).*The Laplacean spectrum of a graph*, with R. Grone and R. Merris, SIAM J. of Matrix Anal. and Applns., 11 (1990), 218-238.(M.R.91c:05130, Zbl 733.05060).*Pairs of $II_1$ factors*, Proc. of the Indian Acad. of Sci. (Math. Sci.), Vol. 100, No.2, August 1990, pp. 357-377. (M.R.:92b:46098, Zbl 727.46039).*The work of Vaughan Jones - From subfactors to knot invariants*, Current Science,59,(1990),1285-1292.*On hypergroups of matrices*, with R.B. Bapat, J. of Lin. and Multilin. Alg., 29, (1991), 125-140.(M.R.92k:20137, Zbl 734.20033).*On commuting squares and subfactors*, J. of Functional Anal. 101(1991), 286-311.(M.R.92j:46111, Zbl 739.46042).*$II_1$ factors, their bimodules and hypergroups*, Trans. of the Amer. Math. Soc. 330(1992), 227-256. (M.R. 92f:46076, Zbl 757.46053).*Unitary orbits of self-adjoints in some $C^*$- algebras*, with Klaus Thomsen, Houston J. of Math. 18(1992). 127-138, (Special Volume dedicated to the memory of Domingo Herrero). (M.R. 93e:46071, Zbl 812.46057).*From hypergroups to subfactors*, Operator Algebras and Operator Theory, Ed. W. Arveson et al,Proceedings of OATE 2 conference, Romania 1989, Pitman Research Notes in Mathematics, Longman Scientific, Essex, UK, 1992, pp. 198-216. (M.R. 93m:46074, Zbl 792.46045).*On the non-occurrence of the Coxeter graphs $\beta_{2n+1}, D_{2n+1}$ and $E_7$ as the principal graph invariant of an inclusion of $II_1$ factors*, with A.K. Vijayarajan, Pacific J. of Math., 161,(1993),185-200. (M.R.94g:46067, Zbl 798.43005)*On some convex sets and their extreme points*, with A. Rajarama Bhat and V. Pati, Math. Annalen., 296,(1993),637-648.(M.R.94f:46076, Zbl 791.46006)*On principal graphs and weak duality*, with Uma Krishnan, Math. Scand., 74,(1994),49-63.(M.R.95i:46087, Zbl 809.05057).*On the relation between subfactors and hypergroups*, Applications of hypergroups and related measure algebras, Contemp. Math., 183, pp. 331-340, 1995. (M.R.96d:46087, Zbl 830.46053).*On boundedness and $||~||_p$-continuity of second quantisation*, with H. Araki and K.B. Sinha, Publ. R.I.M.S., 31, (1995), 941-952. (M.R.97j:81166, Zbl 848.47017).*On some subfactors of integer index arising from vertex models*, with Uma Krishnan and Cherian Varughese, J. Functional Analysis, 140, (1996), 449-471. (M.R.97j:46066, Zbl 899.46049).*On biunitary permutation matrices and some subfactors of index $9$*, with Uma Krishnan, Trans. of the Amer. Math. Soc., 348, (1996), 4691-4736. (M.R. 97c:46077, Zbl 862.46035).*Notes on the imprimitivity theorem*, Analysis, Geometry and Probability, an expository volume brought out in honour of K.R. Parthasarathy), 299-321, Hindustan Book Agency, Delhi, 1996. (M.R.98k:22027, Zbl 949.22007).*Exponentials of indicator functions are total in the Boson Fock space $\Gamma (L^2[0,1])$*, with K.R. Parthasarathy, Quantum Probability Communications, Vol. X, (1998), 281-284. (M.R.2000j:81136)*Schrodinger operators with fairly arbitrary spectral features*, with M. Krishna, Rev. Math. Phys., 19, (1997), 343-360. (M.R.98d:47100, Zbl 879.34081).*Commuting Squares*, The Mathematics Student, 67, (1998), 65-72. (M.R.2001b:46101).*Fusion Rule Algebras and Walks on Graphs*, with N.J. Wildberger, The Proceedings of the Fifth Ramanujan Symposium on Harmonic Analysis, Ed. K. Parthasarathy, Publ. of the Ramanujan Inst., No.6, (1999), 53-80.*The subgroup subfactor*, with Vijay Kodiyalam, Math. Scand., 86, (2000), 45-74. (M.R.2001b:46103, Zbl 991.60290).*The algebra of $G$-relations*, with Vijay Kodiyalam and R. Srinivasan, Proc. of the Indian Acad. Sci. (Math. Sci.), 110, (2000), 263-292. (MR. 2001k:16019, Zbl 992.06392).*Flatness and fusion coefficients*, with Vijay Kodiyalam, Pac. J. Math., 201, (2001), 177-204. (M.R. 2002k:46162).*Spectra of Principal Graphs*, with Vijay Kodiyalam, Internat. J. Math., 12, (2001), 203-210. (M.R.2002b:46101).*Discrete series of fusion algebras*, with R. Srinivasan and Norman Wildberger, J. of Aust. Math. Soc., 72, (2002), 419-425. (M.R. 2003j:46096).*Planar depth and planar subalgebras*, with Zeph Landau, J. of Functional Analysis, 195, (2002), 71-88.(M.R. 2003d:46080).*On trace zero matrices*, Resonance, 7, No.6, (2002), 14-26.*Actions of finite hypergroups*, with Norman Wildberger, J. of Algebraic Combinatorics, 18(2), (2003), 135-151.. (M.R. 2004g:20092).*The planar algebra associated to a Kac algebra*, with Vijay Kodiyalam and Zeph Landau, Proc. of the Indian Acad. Sci. (Math. Sci.), 113, (2003), 15-51. (M.R. 2004d:46075)*Complete invariants for complex semisimple Hopf algebras*, with Sumant Datt and Vijay Kodiyalam, Math. Res. Lett., 10, No. 5-6, (2003), 571-587.*On Jones' planar algebras*, with Vijay Kodiyalam, J. of Knot Theory and its Ramifications, 13, No. 2(March), (2004), 219-248.*A complete set of numerical invariants for a subfactor*, with Vijay Kodiyalam, J. of Functional Analysis, 212, (2004), 1-27.*Hamel bases and measurability*, with M.G. Nadkarni, Mathematics Newsletter, vol. 14, No. 3, (2004).*The planar algebra of a semisimple and cosemisimple Hopf algebra*, with Vijay Kodiyalam, Ind. Acad. of Sci., vol. 116 no. 4, (2006), 443-458; and e-print arXiv math.QA/0506153.*von Neumann Algebras: Introduction, modular theory and classification theory*, Encyclopedia of Math. Physics, eds. J.-P. Francoise, G.L. Naber and Tsou S.T., Oxford: Elsevier, 2006 (ISBN 978-0-1251-2666-3), vol 5 pp. 379-385.*Subfactors and 1+1-dimensional TQFTs*, with Vijay Kodiyalam and Vishwambhar Pati, International Journal of Mathematics, Vol. 18, No. 1 (2007) 69-112, e-print arXiv math.QA/0507050.*Paul Halmos - Expositor par excellence*, Resonance, (2007), 17-28.-
*Temperley-Lieb and Non-crossing Partition planar algebras*, with Vijay Kodiyalam, 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). -
*The Riesz representation theorem*, Indian J. of Pure and Appl. Math., 39(6), December 2008, 467-481. -
*von Neumann Algebras and Ergodic Theory*, in `Perspectives in Mathematical Sciences II, Pure Mathematics', 199-208, World Scientific, June 2009. -
*Kac algebras, quantum doubles and planar algebras*, with S. Jijo, Contemporary Math. Vol. 490, 97-104, 2009. *von Neumann algebras and free probability*, Mathematics Newsletter of the Ramanujan Mathematical Society, Vol. 19, No. 1, pp. 7-9, June 2009.-
*Planar algebras and Kuperberg's 3-manifold invariant*, with Vijay Kodiyalam, Journal of Operator Theory, vol. 63, No. 1, (2010), 101-122, and e-print arXiv math.OA/0807.3714. -
*From subfactor planar algebras to subfactors*, with Vijay Kodiyalam, Internat. J. Math. vol. 20, No. 10, pp. 1207-1231, 2009, and e-print arXiv math.OA/0807.3714. -
*Guionnet-Jones-Shlyakhtenko subfactors associated to finite-dimensional Kac algebras*, Journal of Functional Analysis, Vol. 257, (2009), 3930-3948 and e-print arXiv math.OA/0901.3180. -
*On the Guionnet-Jones-Shlyakhtenko construction for graphs*, with Vijay Kodiyalam, Journal of Functional Analysis, 260 (2011) 2635 - 2673; and e-print arXiv math. OA/0911.2047. -
*Double cones are intervals*, Operator Theory: Advances and Applications, Vol. 207, 359-362, Birkhauser Verlag, Basel/Switzerland, 2010. -
*Israel Moiseevich Gelfand (1913 - 2009)*, Resonance, Vol. 16, No. 2, (2011), 165-179. -
*Hilbert von Neumann modules*, with Panchugopal Bikram, Kunal Mukherjee and R. Srinivasan, (special volume of) Communications in Stochastic Analysis (in honour of Prof. K. R. Parthasarathy), vol. 6, no. 1 (March 2012), 49-64, and e-print arXiv math. OA/1102.4663. -
*From graphs to free products*, with Madhushree Basu and Vijay Kodiyalam, Proc. (MathSci) of the Indian Acad. of Sciences, Vol. 122, No. 4, November 2012, 547-560, and e-print arXiv math. OA/1102.4413. *On Extendability of Endomorphisms and E_0-semigroups of factors*, with Panchugopal Bikram, Masaki Izumi and and R. Srinivasan, Kyushu Journal of Mathematics (accepted), and a preliminary version as e-print arXiv:1211.2576. [math. OA].*Continuous minimax theorems*, with Madhushree Basu, (submitted), and e-print arXiv:1210.7581 [math. OA].

Personal Information: Address (Residence): E1, Block III, Shivani Apartments; 40, East Coast Road; Thiruvanmiyur; Chennai 600 041, India. PHONE(IMSc): (044) 2254 3210,2254 3100 PHONE(Home) : (044) 2451 6082 FAX(IMSc) : (044) 2254 1586 TELEGRAMS : MATSCIENCE, MADRAS 600 113 E-MAIL : sunder@imsc.res.in