NISER

PhD in Mathematics: The Institute of Mathematical Sciences (IMSc), Chennai (2021)

MSc in Mathematics: Indian Institute of Technology Madras, Chennai (2015)

BSc in Mathematics: Ramakrishna Mission Residential College, Narendrapur, Kolkata (2013)

Partial Differential Equations

• MSCA Postdoctoral Fellowship: Seal of Excellence for the project proposal (101270361- FracUCI), under the Horizon Europe Marie Skłodowska-Curie Actions call HORIZON-MSCA-2025-PF-01-01.

• Lady Davis Fellowship: Lady Davis Fellow at Technion-Israel Institute of Technology, Haifa, Israel. 2022-2024.

• NBHM PhD. Fellowship: Selected for the award of NBHM (National Board of Higher Mathematics) PhD. Fellowship. 2015.
• NBHM MA-MSC Fellowship: Selected for the award of NBHM (National Board of Higher Mathematics, India) MA-MSc Scholarship. 2013-2015.
• INSPIRE Scholarship: Selected for the award of INSPIRE (Innovation in Science Pursuit for Inspired Research, India) Scholarship SHE (Scholarship for Higher Education), 2010-2013.

Published/Accepted

16. The space of Hardy-weights for quasilinear operators on discrete graphs  (with M. Keller and Y. Pinchover). Journal of Differential Equations, 457: Paper No. 114057, 2026. (Journal link, Arxiv link)  

15. An optimal fractional Hardy inequality on the discrete half-line (with R. Fuente-Fernández). Calculus of Variations and Partial Differential Equations, 65, 46, 2026. (Journal link, Arxiv link). 

14. On existence of minimizers for weighted $L^p$-Hardy inequalities on $C^{1,\gamma}$-domains with compact boundary (with Y. Pinchover and B. Devyver). Journal of Spectral Theory, 15(3):1089--1138, 2025.  (Journal link, Arxiv link)

13. On Landis’ conjecture for positive Schrödinger operators on graphs (with M. Keller and Y. Pinchover). International Mathematics Research Notices, 2025(12): 20 pp., 2025.  (Journal link, Arxiv link)

12. A lower bound for the weighted Hardy constant for domains satisfying a uniform exterior cone condition (with Y. Pinchover). Journal of Geometric Analysis, 35, 132, 2025. (Journal link, Arxiv link).

11. On Weighted Orlicz-Sobolev inequalities (with T. V. Anoop and S. Roy). Discrete and Continuous Dynamical Systems, 44(10): 3177--3208, 2024. (Journal link, Arxiv link).

 10. The space of Hardy-weights for quasilinear equations: Maz'ya-type characterization and sufficient conditions for existence of minimizers (with Y. Pinchover). Journal d'Analyse Mathématique, 153: 331-366, 2024. (Journal link, Arxiv link).

9. On the generalised Brézis-Nirenberg problem (with T. V. Anoop). Nonlinear Differential Equations and Applications (NoDEA), 30(4): 36 pp.,  2023. (Journal link, Arxiv link).

8. On the fourth order semipositone problem in $\mathbb{R}^N$ (with N. Biswas and A. Sarkar). Discrete and Continuous Dynamical Systems, 43(1): 411-434, 2023. (Journal link, Arxiv link).

7. On the optimization of the first weighted eigenvalue (with N. Biswas and M. Ghosh). Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 153(6):1777-1804, 2023. (Journal link, Arxiv link).

6. Existence and multiplicity results for p-q-Laplacian boundary value problems (with A. Acharya and R. Shivaji). Electronic Journal of Differential Equations: Special Issue in honour of Professor Alan C. Lazer, 293-300 pp., 2021. (Journal link).

5. Admissible function spaces for weighted Sobolev inequalities (with T. V. Anoop and N. Biswas). Communications on Pure & Applied Analysis, 20(9): 3259-3297, 2021. (Journal link, Arxiv link).

4. The compactness and the concentration compactness via p-capacity (with T. V. Anoop). Annali di Matematica Pura ed Applicata (1923 -), 200: 2715-2740, 2021. (Journal link, Arxiv link).

3. On weighted logarithmic-Sobolev & logarithmic-Hardy inequalities. Journal of Mathematical Analysis and Applications, 496(1): Paper No. 124796, 30,  2021. (Journal link, Arxiv link).

2. Existence results for a class of p-q Laplacian semipositone boundary value problems (with A. Muthunayake and R. Shivaji). Electronic Journal of Qualitative Theory of Differential Equations, Paper No. 88, 7 pp., 2020. (Journal link).

1. On the generalized Hardy-Rellich inequalities (with T. V. Anoop and A. Sarkar). Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 150(2):897-919, 2020. (Journal link, Arxiv link).

Preprints

5. Quantitative Landis-type result for Dirac operators (with L. Fanelli, L. Roncal). Arxiv:2602.16049, 2026.

4. On the Landis Conjecture for Positive Quasi-linear Operators on Graphs (with M. Keller, Y. Pinchover). Arxiv:2509.20559, 2025.

3. On the behavior of the ground state energy under weak perturbation of critical quasilinear operators in $\mathbb{R}^N$ (with H. Kovařík, and Y. Pinchover). Arxiv:2508.01940, 2025.   

2. The Landis conjecture via Liouville comparison principle and criticality theory (with Y. Pinchover). Arxiv: 2405.11695, 2024.   

1. Characterizations of compactness and weighted eigenvalue problem for fractional p-Laplacian in $\mathbb{R}^N$ (with R. Kumar and A. Sarkar). Arxiv: 2309.09532, 2023.

Analysis of PDE: Functional inequalities, Analysis on discrete graphs, Unique continuation theory, Shape optimization problems, Existence & Multiplicity results.

MAT401 & MAT801 Functional Analysis: Aug-Dec 2026