Research

In the recent past, I have worked with uniqueness and range characterization problems in Integral geometry and Calderon-type problems in partial differential equations. I am also interested in the analysis of such problems on more general domains, e.g., Riemanninan manifolds. Currently I am exploring microlocal analysis and its wonderful applications to the problems of integral geometry and PDEs. You can find a list of my research articles below (in reverse chronological order in each category) or on Google Scholar/arXiv.

Preprints

• Range characterization of the ray transform on Sobolev spaces  of symmetric tensor fields in two dimensions, with Venkateswaran P. Krishnan and Vladimir Sharafutdinov, 2025. Arxiv 

• A simple range characterization for spherical mean transform in even dimensions, with Gaik Ambartsoumian, Venkateswaran P. Krishnan and Nisha Singhal, 2025. Arxiv 

• Density results of biharmonic functions on symmetric tensor fields and their applications to inverse problems, with Sombuddha Bhattacharyya and Pranav Kumar, 2025. Arxiv 

• A simple range characterization for spherical mean transform in odd dimensions and its applications, with Gaik Ambartsoumian, Venkateswaran P. Krishnan and Nisha Singhal, 2023. Arxiv 

Publications

• The Light ray transform for pseudo-Euclidean metrics, with Plamen Stefanov, The Journal of Geometric Analysis  2025. Arxiv.

• d-plane transform: unique and non-unique continuation, with Nisha Singhal,  Proceedings of AMS 2025. Arxiv. 

• On the null space of the backprojection operator and Rubin's conjecture for the spherical mean transform, with Gaik Ambartsoumian, Venkateswaran P. Krishnan and Nisha Singhal,  Inverse Problems 2024. Arxiv.

• Linearized partial data Calderón problem for biharmonic operators, with Ravi Shankar Jaiswal and Suman Kumar Sahoo , Nonlinear Analysis  2024. Arxiv.

• Unique continuation results for certain generalized ray transforms of symmetric tensor fields, with Venkateswaran P. Krishnan and Sumar Kumar Sahoo, The Journal of Geometric Analysis,  2022.  Arxiv.