Curriculum Vitae
Tirthankar Bhattacharyya
Ph. D. 1996, Supervisor: Rajendra Bhatia. Indian Statistical Institute, Delhi Centre.
Associate Professor at the Indian Institute of Science.
Published and Accepted Papers
1. A Henrici Theorem for Joint Spectra of Commuting Matrices (with R. Bhatia), Proceedings of American Mathematical Society, vol. 118, pp. 5-14, 1993.
2. A Generalization of The Hoffman-Wielandt Theorem (with R. Bhatia), Linear Algebra and Its Applications, vol. 179, pp. 11 - 17, 1993.
3. On The Joint Spectral Radius of Commuting Matrices (with R. Bhatia), Studia Mathematica, vol. 114, pp. 29 - 38, 1995.
4. On Tuples of Commuting Compact Operators, Publ. RIMS Kyoto Univ., vol. 32, no. 5, pp. 785 - 795, 1996.
5. On Finite-dimensional Commutative Non-hermitian Fusion Algebras, Linear Algebra and Its Applications, vol. 287, pp. 87 - 103, 1999.
6. Two Parameter Right Definite Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions (with P. A. Binding and K. Seddighi), Proceedings of Royal Society of Edinburgh, vol. 131, pp. 45 - 58, 2001.
7. Multiparameter Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions (with P. A. Binding and K. Seddighi), Journal of Mathematical Analysis and Applications, vol. 264, pp. 560 - 576, 2001.
8. Commuting compact self-adjoint operators on a Pontryagin space (with Tomaz Kosir), Integral Equations and Operator Theory, vol. 39, pp. 377 - 386, 2001.
9. A model theory for q-commuting contractive tuples (with B. V. Rajarama Bhat), Journal of Operator Theory, vol. 47, pp. 97 - 116, 2002.
10. Some thoughts on Ando's theorem and Parrott's example (with Bhaskar Bagchi and Gadadhar Misra), Linear Algebra and Its Applications, vol. 341, pp. 357 - 367, 2002.
11. Right Definite Multiparameter Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions (with Tomaz Kosir and Bor Plestyniak), Proc. Edinburgh Math. Soc., vol. 45, pp. 565 - 578, 2002.
12. Dilation of contractive tuples - a survey, in Surveys in Analysis and Operator Theory, vol. 40 of Proceedings of CMA, Australian National University, 2002.
13. Standard noncommuting and commuting dilations of commuting tuples (with B. V. Rajarama Bhat and Santanu Dey), Trans. Amer. Math. Soc. vol. 356, no.4, pp. 1551 - 1568, 2004.
14. Characteristic function of a pure commuting contractive tuple (with J. Eschmeier and J. Sarkar), Integral Equations Operator Theory 53 (2005), no. 1, pp. 23--32..
15. Two parameter uniformly elliptic Sturm-Liouville problems with eigenparameter dependent boundary conditions (with J. P. Mohandas), Proc. Edinb. Math. Soc. (2) 48 (2005), no. 3, pp. 531--547.
16. Characteristic function for polynomially contractive commuting tuples (with J. sarkar), Journal of Mathematical Analysis and Applications vol. 321, no. 1, pp. 242-259, 2005.
17. Contractive and completely contractive maps over planar algebras ( with G. Misra), Illinois Journal of Mathematics vol. 49, no. 4, pp. 1181-1201, 2005.
18. On c.n.c commuting contractive tuples (with J. Eschmeier and J. Sarkar), Proc. Indian Acad. Sci., Math. Sci., vol. 116, no. 3, pages 299 - 316, August 2006.
19. A Learning Algorithm for Risk-Sensitive Cost (with Arnab Basu and Vivek S. Borkar), Mathematics of Operations Research, Vol. 33, No. 4, November 2008, pp. 880�898.
20. Abstract characteristic function, Complex Analysis and Operator Theory.
21. Complete Pick Positivity and Unitary Invariance (with Angshuman Bhattacharya), to appear in Studia Mathematica. arXiv:0910.5093
22. Coherence of the real symmetric Hardy algebra (with Amol sasane), to appear in Operators and Matrices.
Preprint
1. Coincidence of Schur Multipliers of the Drury-Arveson Space (with Angshuman Bhattacharya), arXiv:0911.3488
2. Completely bounded kernels (with Michael A. Dritschel and Christopher S. Todd) arXiv:1001.3590
3. Coherent states on Hilbert modules (with S. Twareque Ali and Subrata Shyam Roy) arxiv:1007.0798
Mathematical Reviews.
Association Membership
American Mathematical Society
