I am a faculty member in the Department of Mathematics and Statistics in IIT Kanpur (on lien from IACS 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:
Department of Mathematics and Statistics,
Faculty Building 102, IIT Kanpur.
Phone: 0512-259-2664
Preprints
Rigidity of the escaping set of polynomial automorphisms of C^2 (jointly with K. Verma). arXiv
Publications
Uniform non-autonomous basins of attraction (jointly with K. Verma). Inventiones Mathematicae. Link
Fatou-Bieberbach domains and attracting basins, Mathematics Newsletter. Link
Dynamics of semigroups of Hénon maps, Indiana Univ. Math. J. Link
On the automorphism group of certain Short C^2's (jointly with R. Pal and K. Verma), 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:
Courses taught in IACS Kolkata:
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, 2023-2024.
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.
MAT 4203: Curves and Surfaces, Spring Semester, 2022-2023.
MAT 5101: Functional Analysis, Autumn Semester, 2023-2024. 2024-2025.
MAT 5204: Advanced Complex Analysis, Spring Semester, 2024-2025.
MAT 4101: Linear Algebra, Autumn Semester, 2025-2026.
MAT 5201: Partial Differentaial Equations, Spring Semester 2025-2026