Romina Gaburro is a Lecturer in the Department of Mathematics and Statistics, where she is also the Director for Postgraduate studies. She is the Research Representative for the Department in the Science and Engineering Faculty Research Committee and she has recently become the country coordinator for Ireland in the European Women in Mathematics (EWM) organisation. Romina’s research interests are in inverse problems and related topics in analysis and Partial Differential Equations (PDEs). One of the main applications of inverse problems is in medical imaging: x-ray computed tomography, ultrasound, Single-Photon Emission Computed Tomography (SPECT) and Magnetic Resonance Imaging (MRI) are based on the solution of an inverse problem. The study of inverse problems is a very active area of modern applied mathematics and one of the most interdisciplinary field of science. Romina’s research in inverse problems has focused on medical imaging, Earth exploration and geophysics up to date. She received in 2016 a visiting scientist funding award by the Istituto Nazionale di Alta Matematica (INDAM) to visit the University of Trieste, Italy and she is currently one of the principal investigators of the American Institute of Mathematics (AIMS) grant SQuaREs to develop new seismic imaging algorithms in San Jose, California.
Alessandrini, G., De Hoop, M.V. & Gaburri, R. (2017). Uniqueness for the electrostatic inverse boundary value problem with piecewise constant anisotropic conductivities. Inverse Problems. 33 (12). DOI: 10.1088/1361-6420/aa982d. https://arxiv.org/pdf/1604.02948.pdf
Alessandrini, G., de Hoop, M.V., Gaburro, R. & Sincich, E. (2017). Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities. Journal de Mathématiques Pures et Appliquées. 107 (5): 638-664. https://doi.org/10.1016/j.matpur.2016.10.001
Gaburro, R. (2016). Stable determination at the boundary of the optical properties of a medium: the static case. Rend. Istit. Mat. Univ. Trieste. 48: 407-431. DOI: 10.13137/2464-8728/13204. https://www.openstarts.units.it/handle/10077/13204
Gaburro, R. & Sincich, E. (2015). Lipschitz stability for the inverse conductivity problem for a conformal class of anisotropic conductivities. Inverse Problems 31 (1). DOI:10.1088/0266-5611/31/1/015008. https://arxiv.org/abs/1405.0475
Gaburro, R. & Nolan, C.J. (2008). Enhanced imaging from multiply scattered waves’ Inverse Problems and Imaging 2 (2): 1-20. DOI: 10.3934/ipi.2008.2.225. http://aimsciences.org/article/doi/10.3934/ipi.2008.2.225