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Research

My research focuses on inverse problems in partial differential equations. For a short introduction, click here.

Publications

  1. A partial data result for the magnetic Schrödinger inverse problem.

    Analysis and PDE, 7 (2014), 117-157. arXiv

  2. Partial data for the Neumann-Dirichlet map.

    Journal of Fourier Analysis and Applications, 21 (2015), 628-665. arXiv

  3. Partial data inverse problems for the Hodge Laplacian.

    (with M. Salo and L. Tzou.) Analysis and PDE, 10-1 (2016), 43-93. arXiv

  4. Determining a magnetic potential from partial Neumann-to-Dirichlet data.

    Inverse Problems and Imaging 8 (2014) 959-989. arXiv

  5. Partial data inverse problems for the Maxwell equations.

    (with P. Ola, M. Salo and L. Tzou.) Annales IHP (C), 35-3 (2018), 605-624. arXiv

  6. A radiative transport model for ultrasound modulated bioluminescence tomography.

    (with G. Bal and J. Schotland.) SIAM J. Math. Anal. 48-2 (2016), 1332-1347. arXiv

  7. The $L^p$ Carleman estimate and a partial data inverse problem.

    (with L. Tzou.) Trans. AMS. Series B 7 (2020) 97-132. arXiv

  8. Optical tomography on graphs. (with A. Gilbert, J. Hoskins, and J. Schotland.)

    Inverse Problems 33 (2017), 055016 (21pp.) arXiv

  9. Inverse transport and acousto-optic tomography.

    (with J. Schotland.) SIAM J. Math. Anal. 49-6 (2017) pp 4704-4721. arXiv

  10. Coherent acousto-optic tomography with diffuse light.

    (with J. Hoskins and J. Schotland.) Opt. Lett. 45(7) (2020), 1623-1626.

  11. A transport model for multi-frequency acousto-optic tomography.

    (with J. Hoskins and J. Schotland.) Inv. Prob. 36 (2020), 064004. arXiv

  12. On the transport method for hybrid inverse problems.

    (with J. Hoskins and J. Schotland.) In Mathematical & Numerical Approaches for Multi-Wave Inverse Problems L. Beilina et al. (eds.) Springer, 2020 arXiv

  13. On diffusive scaling in acousto-optic imaging.

    (with R.-Y. Lai and Q. Li.) Inv. Prob. 36 (2020) 085011 . arXiv

  14. Inverse radiative transport with local data.

    Submitted. arXiv

  15. Ultrasound modulated bioluminescence tomography with a single optical measurement.

    (with T. Yang and Y. Yang) Inv. Prob. 37 (2020) 015004. arXiv

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