Publications
Inverse problem for a time-dependent Convection-diffusion equation in admissible geometries. (with Anamika Purohit and Manmohan Vashisth), May 2024. (Submitted). Arxiv
Inversion of generalized V-line transforms of vector fields in R2. (with Rahul Bhardwaj and Manmohan Vashisth), April 2024. (Submitted). Arxiv
Inversion formula, unique continuation property, and range characterization of the mixed ray transform in R2.(with Suman K. Sahoo and Chandni Thakkar), April 2024. (Submitted). Arxiv
Inversion of a restricted transverse ray transform on symmetric m-tensor fields in 3-dimensional space (with Chandni Thakkar). Inverse Problems, vol. 40(4):045025, 2024. Arxiv
V-line 2-tensor tomography in the plane (with Gaik Ambartsoumian and Indrani Zamindar). Inverse Problems, vol. 40(3):035003, 2024. Arxiv
Numerical implementation of generalized V-line transforms on 2D vector fields and their inversions (with G. Ambartsoumian and Mohammad Javad Latifi). SIAM Journal on Imaging Sciences, vol.17(1), pp. 595–631,2024. Arxiv.
The C^∞-isomorphism property for a class of singularly-weighted X-ray transforms (with François Monard and Yuzhou Zou). Inverse Problems, vol. 39(2):024001, 2022. Arxiv.
The generalized Saint Venant operator and integral moment transforms (with Suman K. Sahoo). Proceedings of the American Mathematical Society, vol. 151, pp. 189–199, 2022. Arxiv.
A sparsity-based nonlinear reconstruction method for two-photon photoacoustic tomography (with Madhu Gupta and Souvik Roy). Inverse Problems, 37(4):044001, 2021, Arxiv.
Injectivity and range description of first (k+1) integral moment transforms over m-tensor fields in Rn (with Suman K. Sahoo). SIAM Journal on Mathematical Analysis, vol. 53(1), pp. 253-278, 2021. Arxiv.
Microlocal inversion of a 3-dimensional restricted transverse ray transform of symmetric m-tensor fields (with Venkateswaran P. Krishnan and Suman K. Sahoo). Journal of Mathematical Analysis and Applications, vol. 495(1), 124700, 2020. Arxiv.
Range characterizations and Singular Value Decomposition of the geodesic X-ray transform on disks of constant curvature (with François Monard). Journal of Spectral Theory, vol.11(3), pp. 1005-1041, 2021. Arxiv.
Determining the time-dependent matrix potential appearing in a wave equation from partial boundary data (with Manmohan Vashisth). Applicable Analysis, vol. 100(16), 3492–3508, 2021. Arxiv
Generalized V-line transforms in 2D vector tomography (with G. Ambartsoumian and M. J. L. Jebelli). Inverse problems, vol. 36(10): 104002, 2020. Arxiv.
Sparse reconstruction of log-conductivity in current density impedance tomography (with Madhu Gupta and Souvik Roy). Journal of Mathematical Imaging and Vision, vol. 62, pp.189–205, 2020. Arxiv.
Full reconstruction of a vector field from its restricted Doppler transform and first integral moment transform in Rn. Journal of Inverse and Ill-posed Problems, vol. 28(2), pp. 173-184, 2019. Arxiv
On solenoidal-injective and injective ray transforms of tensor fields on surfaces (with Venkateswaran P. Krishnan and François Monard). Journal of Inverse and Ill-posed Problems, vol. 27(4), pp. 527-538, 2019. Arxiv.
Microlocal analysis for restricted ray transform of symmetric m-tensor fields in Rn (with Venkateswaran P. Krishnan). SIAM Journal on Mathematical Analysis, vol. 50(6), 6230–6254, 2018. Arxiv.
Support theorems and an injectivity result for integral moments of a symmetric m-tensor field (with Anuj Abhishek). Journal of Fourier Analysis and Applications, vol. 25, pp. 1487–1512, 2018. Arxiv.
Inverse source problems for Maxwell's equations and the windowed Fourier transform (with Roland Griesmaier and Christian Schmiedecke). SIAM Journal on Scientific Computing, vol. 40(2): A1204–A1223, 2018.