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Dr. Romina Gaburro

Biography

Dr Romina Gaburro obtained her MSc (Italian Laura) in Mathematics from the Università degli Studi di Trieste, Italy and her PhD in Mathematics from the University of Manchester Institute of Science and Technology (UMIST), UK in 2004. Following her PhD, she worked as a Research Fellow at the Università degli Studi di Trieste for one year, followed by a four years Science Foundation Ireland (SFI) Senior Postdoctoral Fellowship at the University of Limerick (UL). She is currently a Lecturer in Applied Mathematics in the Department of Mathematics and Statistics at UL, 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, the country coordinator for Ireland in the European Women in Mathematics (EWM) organisation and the Irish ambassador for the International Mathematical Union (IMU) Committee for Women in Mathematics (CWM).

Research Interests

Romina Gaburro's research area is in inverse problems, partial differential equations and their applications to imaging and material properties identification. Inverse problems are employed to identify physical properties of materials that cannot be directly observed. These are the model parameters and are very often the coefficients of a partial differential equation describing the model.

The material under investigation is typically probed with an electromagnetic field that interacts with the material according to the governing equation describing the model. This interaction is measured and used to determine the material properties/ inhomogeneities in the material (data inversion). Examples of inhomogeneities include an oil or geothermal reservoir in the subsurface of the Earth, a tumour in the human body or a crack/defect in a material. Inverse problems have indeed wide applications in geophysics, medical imaging, nondestructive testing, radar, acoustics, signal processing, machine learning, etc. The study of inverse problems is a very active area of modern applied mathematics and one of the most interdisciplinary field of science.

Dr Gaburro's research in inverse problems has focused on Earth exploration and medical imaging to date. She received in 2016 a visiting scientist funding award by the Istituto Nazionale di Alta Matematica (INDAM) for a research collaboration with the inverse problems group at the Università degli Studi of Trieste, Italy and was one of the principal investigators of the American Institute of Mathematics (AIMS) grant SQuaREs to develop new seismic imaging algorithms in San Jose, California.

International Summer School on Inverse Problems in Geophysics, Lake Como School of Advanced Studies, Au- gust, 30 - September, 3, 2021 (virtual mode). https://iprg.lakecomoschool.org/


Recent invited talks/scientific visits:

    • Invited speaker at the mini-symposium "Microlocal concepts for imaging by waves", Conference on Mathematics of Wave Phenomena, February 18-22, 2022, Karlsruhe Institute of Technology, Germany.
    • Invited speaker at the "Seventh Annual Stokes Modelling Workshop for Undergraduate Students", June 21-24, 2021, NUI Galway, Ireland.
    • Invited speaker at the "Committee for Women in Mathematics (CWM) & European Women in Mathematics (EWM) joint event", March 23, 2021.
    • Plenary speaker at the "PhD Course in Earth Science, Fluid-Dynamics, and Mathematics. Interactions and Methods. Presentation Days: February 23-25, 2021", Università degli Studi di Trieste, Italy.
    • Visiting Professor - short term, short course on "Inverse problems for partial differential equations of geophysical interest", November 11 - December 10, 2020, Università degli Studi di Milano, Italy.
    • Invited seminar, February 4, 2020, Georg-August Universität Gottingen, Germany.
    • Invited speaker at the "SIAM UKIE annual meeting", January 10, 2020, ICMS Edinburgh, UK.
    • Invited speaker at the "Inverse Problems Network meeting 6", December 12-13, 2019, University of Manchester, UK.
    • Invited scientist at the Banff International Research Station (BIRS) workshop "Reconstruction Methods for Inverse Problems", June 23-28, 2019, Alberta, Canada. https://www.birs.ca/events/2019/5-day-workshops/19w5092
    • Invited scientist at the Banff International Research Station (BIRS) workshop "Women in Analysis", June 9-14, 2019, Alberta, Canada. http://www.birs.ca/events/2019/5-day-workshops/19w5082
    • Invited seminar "Calderon's inverse conductivity problem and its applications to imaging" at NUI Galway, May 16, 2019, Ireland.
    • Invited seminar at "Matematici al lavoro", Università degli Studi di Trieste, March 15, 2019.
    • Invited speaker at the mini-symposium "Geomathematical inverse problems", SIAM Conference on Mathematics of Planet Earth, September 13-15, 2018, Philadelphia, US.
    • Invited speaker at the "Women in Mathematics Day Ireland 2018", University College Dublin, August 29, 2018, Ireland.
    • Plenary speaker at the Indam workshop "Reconstruction methods for inverse problems", May 28 - June 1, 2018, Rome, Italy.
    • Invited speaker at the workshop "Microlocal analysis in inverse problems", 9th International Conference "Inverse Problems: Modeling and Simulations", May 21-25, 2018, Malta.
    • Plenary speaker at the "Inverse problems network meeting 3: numerical analysis for inverse problems", April 26-27, 2018, University College London, UK.
    • Invited scientist at the workshop "Recent Advances in Seismic Modeling and Inversion: From Analysis to Applications", November 6-10, 2017, as part of the Semester Program "Mathematical and Computational Challenges in Radar and Seismic Reconstruction", Institute for Computational and Experimental Research in Mathematics (ICERM), Brown University, Providence, US.
    • Invited seminar "Some inverse problems in geophysics" at the Università deli Studi di Milano, May 17, 2017, Italy.
    • Invited speaker at the "Inverse Problems workshop", LMS-EPSRC Durham Symposium "Mathematical and Computational Aspects of Maxwell's Equations", July 11 - 21, 2016, Durham, UK. Link to the seminar: http://www.maths.dur.ac.uk/events/Meetings/LMS/104/movies/1149gabu.mp4
    • Invited seminar "On the uniqueness of Calderòn inverse problem in the case of anisotropic conductivity" at the University deli Studi di Trieste, May 18, 2016, Italy.
    • Plenary speaker at the Banff International Research Station (BIRS) workshop "Dirichlet-to-Neumann Maps: Spectral Theory, Inverse Problems and Applications", May 29 - June 3, 2016, Oaxaca, Mexico. Link to the seminar: http://www.birs.ca/events/2016/5-day-workshops/16w5083/videos/watch/201606021012-Gaburro.html
    • Invited speaker at the workshop "Geo-Mathematical Imaging 2016", April 27-28, 2016, Rice University, Houston, Texas, US.
    • Invited seminar "An inverse problems in geothermal prospecting" at Rice University, January 20, 2016, Houston, Texas, US.


Conferences organisation:

    • Co-organiser (with Shari Moskow) of the the mini-symposium "Anisotropic inverse problems and asymptotics" at the Applied Inverse Problems (AIP) 2019 conference, July 8-12, 2019, Grenoble, France. https://www.aip2019-grenoble.fr/en/page/minisymposia
    • Co-organiser (with Eva Sincich) of the the mini-symposium "Stability and reconstruction in inverse problems and applications" at the Applied Inverse Problems (AIP) 2017 conference, May 29 - June 2, 2017, Hangzhou, Cina.
    • Co-organiser (with Elena Beretta) of the mini-symposium "On the stability issue for inverse boundary value problems and applications" at the Applied Inverse Problems (AIP) 2015 conference, May 25-29, 2015, Helsinki, Finland.
    • Co-organiser (with Raluca Felea) of the special session "Microlocal analysis and the inverse conductivity problem", at the 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, July 7-11, 2014, Madrid, Spain.
    • Co-organiser (with M. Giudici, A. Comunian) of the International Summer School on Inverse Problems in Geophysics, Lake Como School of Advanced Studies, Au- gust, 30 - September, 3, 2021 (virtual mode). https://iprg.lakecomoschool.org/
    • Co-organiser (with B. Lionheart, S. Holman, P. Ledger, M. Betcke, S. Gazzola, T. Tarvainen, F. Watson) of the semester programme 'Rich and nonlinear tomog- raphy - a multidisciplinary approach', Isaac Newton Institute for Mathematical Sciences, Cambridge, U.K., January - June, 2023. https://www.newton.ac.uk/event/rnt/






Teaching Interests

Modules taught at the University of Limerick to date:

MS4327 Optimisation
MS4131 Linear Algebra 1
MS4122 Further Linear Algebra
MA4102 Business Mathematics 1
MS4111 Discrete Mathematics 1
MS4021 Calculus 1
MA4602 Science Mathematics 2
MS4702 Technological Mathematics 2
MS4403 Ordinary Differential Equations
MA4402 Computer Mathematics 2


Professional Activities

Employment

  • 2013 University of Limerick - Lecturer above the bar in applied mathematics
  • 2008 University of Limerick - Lecturer below the bar in Applied Mathematics
  • 2004 University of Limerick - Senior Post-Doctoral Fellow
  • 2003 Universita' degli Studi di Trieste - Post-Doctoral Researcher

Education

  • 2004 University of Manchester (UMIST) - PhD
  • 1999 Universita`degli Studi di Trieste - BSc; MSc

Language

  • Italian
  • English

Association

  • Committee member, Irish Mathematical Society (IMS)
  • member, European Mathematical Society (EMS)
  • member, Society for Industrial and Applied Mathematics (SIAM)
  • member and country coordinator for Ireland, European Women in Mathematics (EWM)
  • Ambassador for Ireland, IMU Committee for Women in Mathematics (CWM)
  • member, Health Research Institute (HRI), University of Limerick

Outreach

Publications

Book Chapters

2015

Electrical impedance tomography
Adler A.;Gaburro R.;Lionheart W.
(2015) Electrical impedance tomography
In Handbook of Mathematical Methods in Imaging: Volume 1, Second Edition; Springer : Springer pp. 701-762
DOI: 10.1007/978-1-4939-0790-8_14

2011

Electrical Impedance Tomography
Adler, A., Gaburro, R. and Lionheart, W.R.B.
(2011) Electrical Impedance Tomography
In Handbook of Mathematical Methods in Imaging, Volume 1, First Edition; Springer : Springer pp. 599-654

Peer Reviewed Journals

2020

Lipschitz stability at the boundary for time-harmonic diffuse optical tomography
Doeva O.;Gaburro R.;Lionheart W.R.B.;Nolan C.J.
(2020) Lipschitz stability at the boundary for time-harmonic diffuse optical tomography
In Applicable Analysis;
DOI: 10.1080/00036811.2020.1758314
[ULIR]

2020

Inversion of a SIR-based model: A critical analysis about the application to COVID-19 epidemic
Comunian A.;Gaburro R.;Giudici M.
(2020) Inversion of a SIR-based model: A critical analysis about the application to COVID-19 epidemic
In Physica D-Nonlinear Phenomena;
DOI: 10.1016/j.physd.2020.132674

2020

Full Reciprocity-Gap Waveform inversion, enabling space-source acquisition (accepted)
F. Faucher, G. Alessandrini, H. Barucq, M. V. de Hoop, R. Gaburro and E. Sincich
(2020) Full Reciprocity-Gap Waveform inversion, enabling space-source acquisition (accepted)
In Geophysics;
[ULIR]

2019

Microlocal analysis of doppler synthetic aperture radar
Felea R.;Gaburro R.;Greenleaf A.;Nolan C.
(2019) Microlocal analysis of doppler synthetic aperture radar
In Inverse Problems And Imaging; pp. 1283-1307
DOI: 10.3934/ipi.2019056

2019

Inverse problem for the Helmholtz equation with Cauchy data: Reconstruction with conditional well-posedness driven iterative regularization
Alessandrini G.;De Hoop M.;Faucher F.;Gaburro R.;Sincich E.
(2019) Inverse problem for the Helmholtz equation with Cauchy data: Reconstruction with conditional well-posedness driven iterative regularization
In Esaim: Mathematical Modelling And Numerical Analysis; pp. 1002-1030
DOI: 10.1051/m2an/2019009

2018

Lipschitz stability for a piecewise linear Schrodinger potential from local Cauchy data
Alessandrini, G;de Hoop, MV;Gaburro, R;Sincich, E
(2018) Lipschitz stability for a piecewise linear Schrodinger potential from local Cauchy data
In Asymptotic Analysis; AMSTERDAM : IOS PRESS pp. 115-149
DOI: 10.3233/ASY-171457

2018

EIT in a layered anisotropic medium
Alessandrini G.;De Hoop M.;Gaburro R.;Sincich E.
(2018) EIT in a layered anisotropic medium
In Inverse Problems And Imaging; pp. 667-676
DOI: 10.3934/ipi.2018028

2017

Uniqueness for the electrostatic inverse boundary value problem with piecewise constant anisotropic conductivities
Alessandrini, G,de Hoop, MV,Gaburro, R
(2017) Uniqueness for the electrostatic inverse boundary value problem with piecewise constant anisotropic conductivities
In Inverse Problems;
DOI: 10.1088/1361-6420/aa982d

2017

Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities
Alessandrini, G,de Hoop, MV,Gaburro, R,Sincich, E
(2017) Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities
In Journal De Mathematiques Pures Et Appliquees; pp. 638-664
DOI: 10.1016/j.matpur.2016.10.001

2016

Stable determination at the boundary of the optical properties of a medium: The static case
Gaburro R.
(2016) Stable determination at the boundary of the optical properties of a medium: The static case
In Rendiconti Dell'Istituto Di Matematica Dell'Universita Di Trieste; pp. 407-431
DOI: 10.13137/2464-8728/13204

2015

Lipschitz stability for the inverse conductivity problem for a conformal class of anisotropic conductivities
Gaburro, R,Sincich, E
(2015) Lipschitz stability for the inverse conductivity problem for a conformal class of anisotropic conductivities
In Inverse Problems;
DOI: 10.1088/0266-5611/31/1/015008

2013

Microlocal analysis of sar imaging of a dynamic reflectivity function
Felea R.;Gaburro R.;Nolan C.
(2013) Microlocal analysis of sar imaging of a dynamic reflectivity function
In Siam Journal On Mathematical Analysis; pp. 2767-2789
DOI: 10.1137/120873571

2009

Recovering Riemannian metrics in monotone families from boundary data
Gaburro, R; Lionheart, WRB
(2009) Recovering Riemannian metrics in monotone families from boundary data
In Inverse Problems;
DOI: 10.1088/0266-5611/25/4/045004

2009

The Local Calderon Problem and the Determination at the Boundary of the Conductivity
Alessandrini, G; Gaburro, R
(2009) The Local Calderon Problem and the Determination at the Boundary of the Conductivity
In Communications In Partial Differential Equations; pp. 918-936
DOI: 10.1080/03605300903017397

2008

MIcrolocal analysis of synthetic aperture radar imaging in the presence of a vertical wall
R. Gaburro and C.J. Nolan
(2008) MIcrolocal analysis of synthetic aperture radar imaging in the presence of a vertical wall
In Journal Of Physics: Conference Series;

2008

Enhanced imaging from multiply scattered waves
Gaburro R.;Nolan C.
(2008) Enhanced imaging from multiply scattered waves
In Inverse Problems And Imaging; pp. 225-250
DOI: 10.3934/ipi.2008.2.225

2006

Enhanced angular resolution from multiply scattered waves
Nolan C.;Cheney M.;Dowling T.;Gaburro R.
(2006) Enhanced angular resolution from multiply scattered waves
In Inverse Problems; pp. 1817-1834
DOI: 10.1088/0266-5611/22/5/017

2001

Determining conductivity with special anisotropy by boundary measurements.
Gaburro, R; Alessandrini, G
(2001) Determining conductivity with special anisotropy by boundary measurements.
In Siam Journal On Mathematical Analysis; pp. 153-171

Conference Publications

2017

Proceedings of the Project Review, Geo-Mathematical Imaging Group at Rice University
F. Faucher, M. de Hoop, G. Alessandrini, R. Gaburro and E. Sincich
(2017) Proceedings of the Project Review, Geo-Mathematical Imaging Group at Rice University
pp. 31-42 Houston

2011

82nd European Study Group with Industry
Cooker, M.; Cribbin, L.; Dellar, P.; Fitt, A.; Gaburro, R.; Gibb, T.; Kennedy, J.; King, J.; Kubat, I.; Lapin, V.; Lee, W.; Murphy, E.; Nolan, C. J.; Parker, J.; Power, O.; Timoney, C.
(2011) 82nd European Study Group with Industry
pp. 51-73

2009

70th European Study Group with Industry (ESGI70)
Bandeira, A.; Bell, C. G.; Charpin, J. P. F.; Gaburro, R.; Soussi, S.; Wilson, E. R.
(2009) 70th European Study Group with Industry (ESGI70)
pp. 183-210

2007

Proceedings, SPIE Medical Imaging: Ultrasonic Imaging and Signal Processing
Gaburro R., Nolan C.J., Dowling T., Cheney M.
(2007) Proceedings, SPIE Medical Imaging: Ultrasonic Imaging and Signal Processing
pp. 651304-651311 San Diego, California
DOI: 10.1117/12.712569

Thesiss

2004

Anisotropic Conductivity. Inverse Boundary Value Problems.
Gaburro, R
(2004) Anisotropic Conductivity. Inverse Boundary Value Problems.
University of Manchester Institute of Science and Technology (UMIST). : University of Manchester Institute of Science and Technology (UMIST).

1999

On the Inverse Problem of Anisotropic Electrical Impedance Tomography.
Gaburro, R
(1999) On the Inverse Problem of Anisotropic Electrical Impedance Tomography.
Universita`degli Studi di Trieste : Universita`degli Studi di Trieste