Research Areas

Inverse Problems and Partial Differential Equations

Education

2022.08 - 2025.07 Ph.D. in Mathematics, Indian Institute of Science Education and Research (IISER), Bhopal, India.

Dissertation title: Inverse problems for partial differential equations

Supervisor: Prof. Sombuddha Bhattacharyya

2019.07 - 2022.07 M.S. in Mathematics Indian Institute of Science Education and Research (IISER), Bhopal, India.

2016.07 - 2019.06 BSc. (Hons) in Mathematics, Patna Science College, Patna, India.

Publications

1. Direct and inverse problem for bi-wave equation with time-dependent coefficients from partial data (with Sombuddha Bhattacharyya), arxiv preprint: https://doi.org/10.48550/arXiv.2504.15911 Submitted.

2. Density results of biharmonic functions on symmetric tensor fields and their applications to inverse problems (with Divyansh Agrawal and Sombuddha Bhattacharyya), arxiv preprint: https://doi.org/10.48550/arXiv.2501.10961 Submitted.

3. Inverse boundary value problem for the Convection-Diffusion equation with local data, (with Anamika Purohit), Applicable Analysis,11, 2195-2204, (January 2025).

4. Local data inverse problem for the polyharmonic operator with anisotropic perturbations (with Sombuddha Bhattacharyya.), Inverse Problems, 40, 055004, (2024).