Welcome to my homepage!
Currently, I am a National Postdoctoral Fellow at the Department of Mathematics in the Indian Institute of Technology, Bombay under the mentorship of Prof. Bata Krishna Das.
I have completed my Ph.D. under the supervision of Prof. Tirthankar Bhattacharyya in September 2025.
Here is my updated CV .
Email: mainak.bhowmik943@gmail.com, mainakb@iisc.ac.in , mainak@math.iitb.ac.in
8. 'The multivariate Herglotz-Nevanlinna class: Rational approximation ' - (with M. Putinar). arXiv
7. 'The multivariate Herglotz-Nevanlinna class: Superresolution ' - (with M. Putinar). Anal Math 51, 1199-1228 (2025). Dedicated in memory of Bent Fuglede. arXiv
6. 'Hankel operators and Projective Hilbert modules on quotients of bounded symmetric domains ' - (with T. Bhattacharyya and H. Sau). arXiv
5. 'Function theory on quotient domains related to the polydisc ' - joint work with P. Kumar. J. Funct. Anal. 289 (2025), no. 6, Paper No. 110978. arXiv
4. 'Herglotz representation for operator-valued function on a set associated with test functions'- (with P. Kumar). Proc. Amer. Math. Soc. 153 (2025), no. 7, 2949–2963. arXiv
3. 'Herglotz's representation and Caratheodory's approximation'- (with T. Bhattacharyya and P. Kumar). Bull. Lond. Math. Soc. 56 (2024), no 12, 3752-3776. arXiv
2. 'Factorization of functions in the Schur-Agler class related to test functions '-(with P. Kumar). Proc. Amer. Math. Soc. 152 (2024), no. 9, 3991-4001. arXiv
1. 'A note on the dilation of a certain family of tetrablock contractions '- (with T. Bhattacharyya). Oper. Theory Adv. and Appl., vol 295. Birkhäuser, Champ. arXiv
Ph.D. Indian Institute of Science, Bengaluru (Advisor: Prof. Tirthankar Bhattacharyya) (Oct 2020- Sep 2025)
M.Sc. in Mathematics Indian Institute of Technology, Kanpur (2018-20).
B.Sc. in Mathematics (Hons.) Ramakrishna Mission Residential College, Narendrapur (2015-18).
