New Book

Dilations, Completely, Positive Maps and Geometry (with Tirthankar Bhattacharyya), TRIM series Hindustan Book Agency (2023). Available through Springer or Amazon.

Recent papers and preprints

1. C*- extreme maps and nests, (with Manish Kumar), J. Funct. Anal. 282 (2022), no. 8, Paper No. 109397, 40 pp. MR4372150.

2. Poisson boundary on full Fock space, (with Panchugopal Bikram, Sandipan De, Narayan Rakshit), Trans. Amer. Math. Soc. 375 (2022), 5645-5668. MR4469232.

3. Iterative square roots of functions (with Chaitanya Gopalakrishna), Ergodic Theory Dynam. Systems 43 (2023), no. 7, 2201-2227. MR4598772.

4. The non-iterates are dense in the space of continuous self-maps, (with Chaitanya Gopalakrishna), Nonlinearity 36 (2023), no. 6, 3419-3430. MR4594747.

5. C*-extreme points of entanglement breaking maps (with Repana Devendra, Nirupama Mallick, K. Sumesh), Rev. Math. Phys. 35 (2023), no. 3, Paper No. 2350005, 17 pp. MR4568914.

6. On products of symmetries in von Neumann algebras (with Soumyashant Nayak and P Shankar), To appear in the J. of Operator Theory.

7. Peripheral Poisson Boundary (with Bharat Talwar and Samir Kar). Sept. 2022.

8. Peripherally automorphic unital completely positive maps (with Samir Kar and Bharat Talwar), Linear Algebra and its Applications, 678(2023) 191-205.

9. Schoenberg Correspondence for k-(Super) Positive Maps on Matrix Algebras (with Purbayan Chakraborty and Uwe Franz), Positivity 27, 51 (2023).

10. Iterative Roots of Multifunctions (with Chaitanya Gopalakrishna). Dec. 2022.

11. Operator moment dilations as block operators (with Anindya Ghatak and Santhosh Kumar Pamula). Feb. 2023.

12. Error Basis and Quantum Channel (with Purbayan Chakraborty and Uwe Franz). May 2023.

13. A minimal completion theorem and almost everywhere equivalence for completely positive maps (with Arghya Chongdar). June 2023.

Publications 2015-2021

1. On submajorization and eigenvalue inequalities, (with Arup Chattopadhyay, G. Sankara Raju Kosuru),Linear Multilinear Algebra, 63 (2015), no. 11, 2245-2253. MR3401940.

2. Stability of Quantum Dynamical Semigroups (with Sachi Srivastava), Operator semigroups meet complex analysis, harmonic analysis and mathematical physics, (Ed. W. Arendt, R. Chill and Y. Tomilov), Operator Theory: Advances and Applications, Vol. 250, 67-85 (2015).MR3468209.

3. Pure semigroups of isometries on Hilbert C*-modules, ( with Michael Skeide), Journal of Functional Analysis 269 (2015), no. 5, 1539-1562. MR3369946.

4. On the equivalence of separability and extendability of quantum states, (with K. R. Parthasarathy and Ritabrata Sengupta), Reviews in Mathematical Physics, Vol. 29, No. 4 (2017) 1750012. MR3647289.

5. Regular representations of completely bounded maps (with Nirupama Mallick and K. Sumesh), Pacific Journal of Mathematics, Vol. 289 (2017), No 2, 257-286. DOI: 10.2140/pjm.2017.289.257. MR3667173.

6. Additive units of product systems (with J. Martin Lindsay and Mithun Mukherjee), Transactions of the American Mathematical Society, 370 (2018), no. 4, 2605-2637. MR3748579.

7. Real Normal Operators and Williamson's Normal Form (with Tiju Cherian John), Acta Sci Math (Szeged), Volume 85, Numbers 3-4, ( 2019), 507-518.

8. Infinite mode quantum Gaussian states (with Tiju Cherian John and R. Srinivasan), Rev. Math. Phys. 31 (2019), no. 9, 1950030, 33 pp. 8. MR4014466. arXiv:1804.05049.

9. Roots of completely positive maps (with Robin Hillier, Nirupama Mallick, and Vijaya Kumar U ). Linear Algebra Appl. 587 (2020), 143-165. MR4030295.

10. Two states (with Mithun Mukherjee), Houston J. Math. 47 (2021), no. 1, 63-95. MR4447964.

11. Structure of block quantum dynamical semigroups and their product systems (with Vijaya Kumar U), Infin. Dimens. Anal. Quantum Probab. Relat. Top. Vol. 23, No. 01, 2050001 (2020). MR 4107238.

12. A factorization property of positive maps on C*-algebras (with H. Osaka), Int. J. Quantum Inf. 18 (2020), no. 5, 2050019, 6 pp. MR4149452.

13. A caricature of dilation theory, (with Sandipan De, Narayan Rakshit), Adv. Oper. Theory 6 (2021), no. 4, Paper No. 63, 20 pp. MR4296273.

14. Stinespring's theorem for unbounded operator valued local completely positive maps and its applications, (with Anindya Ghatak and Santhosh Kumar Pamula), Indag. Math. (N.S.) 32 (2021), no. 2, 547-578. MR4218508.

15. C*-extreme points of positive operator valued measures and unital completely positive maps, (with Tathagata Banerjee, Manish Kumar), Comm. Math. Phys. 388 (2021), no. 3, 1235-1280. MR4340930.

16. Lattices of logmodular algebras (with Manish Kumar) 2021. To appear in Publ. RIMS.