I am an Assistant Professor in the School of Mathematical and Computational Science, Indian Association for the Cultivation of Science, Kolkata.
My research area is holomorphic dynamics in one and several complex variables. Particularly, I am interested to study problems related to the dynamics of families of holomorphic self-maps of both complex affine and projective spaces, using methods from complex function theory, potential theory and geometric analysis.
Academic Background:
Ph.D.: Indian Institute of Science, Bangalore (2015).
Advisor: Prof. Kaushal Verma.
M.Sc. (Math): Indian Institute of Technology, Kanpur (2009).
B.Sc.(Math Hons.): Jadavpur University, Kolkata (2007).
Address:
School of Mathematical and Computational Sciences,
Indian Association for the Cultivation of Science,
Kolkata, West Bengal-700032, India.
Office: TRC-103. Contact no: +91-33-2473 4971 (2332).
Publications and Preprints:
Preprints:
Uniform non-autonomous basins of attraction (jointly with K. Verma). arXiv
Papers:
Dynamics of semigroups of Hénon maps, accepted for publication in Indiana Univ. Math. J. arXiv
On the automorphism group of certain Short C^2's (jointly with R. Pal and K. Verma), accepted for publication in IMRN (International Mathematics Research Notices). Link
On a spectral version of Cartan's Theorem (jointly with V. S. Chandel and M. Londhe), Journal of Geometric Analysis, 70(2022), 32. Link
Rigidity of Julia Sets of families of biholomorphic mappings in higher dimensions (jointly with R. Pal), Comput. Methods Funct. Theory (2021). Link
Rigidity theorems for Hénon maps-II, Fundamenta Mathematicae, 253 (2021), 2, 1-16. Link
A rigidity theorem for Hénon maps (jointly with R. Pal and K. Verma), European Journal of Mathematics 6(2020), 1, 508–532. Link
Polynomial shift-like maps in C^k, Internat. J. Math. 30 (2019), 12, 1950066, 31 pp. Link
Examples of non-autonomous basins of attraction—II, Ramanujan Math. Soc. 34 (2019), 3, 343–363. Link
Some aspects of shift-like automorphisms of C^k (jointly with K. Verma), Proc. Indian Acad. Sci. Math. Sci. 128 (2018), 1, 48 pp. Link
Examples of non-autonomous basins of attraction (jointly with R. Pal and K. Verma), Illinois J. Math. 61 (2017), 3-4, 531–567. Link
Dynamics of semigroups of entire maps of C^k (jointly with R. Pal), Complex Anal. Synerg. 2 (2016), 1, 22 pp. Link
Ph.D. Thesis
Shift-like automorphisms of C^k. PDF
Teaching:
Current:
MAT 4203: Curves and Surfaces, Spring Semester, 2022-2023.
Past:
MAT 5107: Differential Geometry, Autumn Semester, 2021-2022.
MCS 1201A: Linear Algebra and Multivariable calculus, Spring Semester, 2020-2021.
MAT 5201: Ordinary and Partial Differential equations (jointly with Prof. Jyotirmoy Sengupta), Spring Semester, 2020-2021.
MCS 1101A: One variable calculus, Autumn Semester, 2020-2021.
MAT 4203: Complex Analysis, Spring Semester, 2019-2020.
MAT 4102: Real Analysis, Autumn Semester, 2019-2020.
MAT 4101: Algebra-II (jointly with Prof. Shashi Mohan Srivastava), Autumn Semester, 2019-2020.
MAT 4203: Curves and Surfaces, Spring Semester, 2021-2022.
MAT 4103: Topology, Autumn Semester, 2022-2023.
PhD. Position: There are vacant Ph.D. positions in my lab. Interested candidates are requested to drop an email to me.