Romina Gaburro


Contact Details

Lecturer in Applied Mathematics
University of Limerick
T: +353 (0)61213193
E: romina.gaburro@ul.ie
 
researcher

Biography

Dr Romina Gaburro is a mathematician working in the Department of Mathematics and Statistics at the University of Limerick (UL). She obtained an MSc (Italian Laura) in Mathematics from the Università degli Studi di Trieste, Italy and a 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 UL. Dr Gaburro 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 and the Course Director for the MSc in Mathematical Modelling. She is the Research Representative for the Department in the Science and Engineering Faculty Research Committee and she recently joined the committee of the Irish Mathematical Society (IMS). Dr Gaburro is a member of the Health Research Institute (HRI) at UL and a funded investigator of CONFIRM, the SFI centre for smart manufacturing at UL. Dr Gaburro is also 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/





Research Projects

  Project Role Description Start Date End Date
Government of Ireland Academic Mobility Programme 2019 Other Government of Ireland Academic Mobility Programme 2019 01-MAR-19 01-DEC-19
University of Limerick Internationalisation Activity Challenge Fund 2018 Other University of Limerick Internationalisation Activity Challenge Fund 2018 01-APR-18 01-SEP-18
Erasmus + Other Erasmus + 01-JAN-17 01-JAN-17
Visiting scientist funding award Other Visiting scientist funding award 01-JAN-17 01-JAN-17
SQuaREs Other SQuaREs 01-JAN-16 01-JAN-18

Peer Reviewed Journals

  Year Publication
2022 'Microlocal analysis of borehole seismic data (accepted)'
R. Felea, R. Gaburro, A. Greenleand and C. Nolan (2022) 'Microlocal analysis of borehole seismic data (accepted)'. Inverse Problems And Imaging, [Details]
2021 'Stability for the Calderon's problem for a class of anisotropic conductivities via an ad hoc misfit functional'
Foschiatti, S;Gaburro, R;Sincich, E (2021) 'Stability for the Calderon's problem for a class of anisotropic conductivities via an ad hoc misfit functional'. Inverse Problems, 37 [DOI] [Details]
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'. Physica D-Nonlinear Phenomena, 413 [DOI] [Details]
2020 'Full reciprocity-gap waveform inversion enabling sparse-source acquisition'
F. Faucher, G. Alessandrini, H. Barucq, M. V. de Hoop, R. Gaburro, and E. Sincich (2020) 'Full reciprocity-gap waveform inversion enabling sparse-source acquisition'. Geophysics, 85 (6) [DOI] [Details]
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'. Applicable Analysis, [DOI] [ULIR Link] [Details]
2019 'Microlocal analysis of doppler synthetic aperture radar'
Felea R.;Gaburro R.;Greenleaf A.;Nolan C. (2019) 'Microlocal analysis of doppler synthetic aperture radar'. Inverse Problems And Imaging, 13 (6):1283-1307 [DOI] [Details]
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'. Esaim: Mathematical Modelling And Numerical Analysis, 53 (3):1002-1030 [DOI] [Details]
2018 'EIT in a layered anisotropic medium'
Alessandrini G.;De Hoop M.;Gaburro R.;Sincich E. (2018) 'EIT in a layered anisotropic medium'. Inverse Problems And Imaging, 12 (3):667-676 [DOI] [Details]
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'. Asymptotic Analysis, 108 :115-149 [DOI] [Details]
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'. Inverse Problems, 33 [DOI] [Details]
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'. Journal De Mathematiques Pures Et Appliquees, 107 :638-664 [DOI] [Details]
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'. Rendiconti Dell'Istituto Di Matematica Dell'Universita Di Trieste, 48 (1):407-431 [DOI] [Details]
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'. Inverse Problems, 31 [DOI] [Details]
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'. Siam Journal On Mathematical Analysis, 45 (5):2767-2789 [DOI] [Details]
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'. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 34 (8):918-936 [DOI] [Details]
2009 'Recovering Riemannian metrics in monotone families from boundary data'
Gaburro, R; Lionheart, WRB (2009) 'Recovering Riemannian metrics in monotone families from boundary data'. INVERSE PROBLEMS, 25 (4) [DOI] [Details]
2008 'Enhanced imaging from multiply scattered waves'
Gaburro R.;Nolan C. (2008) 'Enhanced imaging from multiply scattered waves'. Inverse Problems And Imaging, 2 (2):225-250 [DOI] [Details]
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'. Journal Of Physics: Conference Series, [Details]
2006 'Enhanced angular resolution from multiply scattered waves'
Nolan C.;Cheney M.;Dowling T.;Gaburro R. (2006) 'Enhanced angular resolution from multiply scattered waves'. Inverse Problems, 22 (5):1817-1834 [DOI] [Details]
2001 'Determining conductivity with special anisotropy by boundary measurements'
Gaburro, R; Alessandrini, G (2001) 'Determining conductivity with special anisotropy by boundary measurements'. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 33 (1):153-171 [Details]

Book Chapters

  Year Publication
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. [DOI] [Details]
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. [Details]

Conference Publications

  Year Publication
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) Acoustic Full Waveform Inversion from Cauchy data via conditional well-posedness driven iterative regularisation Proceedings of the Project Review, Geo-Mathematical Imaging Group at Rice University Houston, , pp.31-42 [Details]
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) Haptic Touchscreens 82nd European Study Group with Industry , pp.51-73 [Details]
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) Solar Reflector Design 70th European Study Group with Industry (ESGI70) , pp.183-210 [Details]
2007 Proceedings, SPIE Medical Imaging: Ultrasonic Imaging and Signal Processing
Gaburro R., Nolan C.J., Dowling T., Cheney M. (2007) Imaging from Multiply Scattered Waves Proceedings, SPIE Medical Imaging: Ultrasonic Imaging and Signal Processing San Diego, California, , pp.651304-651311 [DOI] [Details]

Thesis

  Year Publication
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): Thesis [Details]
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: Thesis [Details]

Professional Associations

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

Employment

  Employer Position From / To
University of Limerick Lecturer below the bar in Applied Mathematics 01-OCT-08 / 30-NOV-13
Universita' degli Studi di Trieste Post-Doctoral Researcher 01-NOV-03 / 01-OCT-04
University of Limerick Senior Post-Doctoral Fellow 01-OCT-04 / 01-OCT-08
University of Limerick Lecturer above the bar in applied mathematics 01-DEC-13 /

Education

  Year Institution Qualification Subject
1999 Universita`degli Studi di Trieste BSc; MSc Mathematics
2004 University of Manchester (UMIST) PhD Mathematics

Languages

  Language Reading Writing Speaking
English Fluent Fluent Fluent
Italian Fluent Fluent Fluent

Outreach Activities

  Description

https://www.youtube.com/watch?v=WrPn0sujv58

Reviews

  Journal Role
Journal Of Fourier Analysis And Applications Reviewer
Siam Journal On Mathematical Analysis Reviewer
Inverse Problems And Imaging Reviewer
Revista Matematica Iberoamericana Reviewer
Applied Mathematics Letters Reviewer
Mathematical Methods In The Applied Sciences Reviewer
Siam Journal On Applied Mathematics Reviewer
Inverse Problems Reviewer
Measurement Science And Technology Reviewer
Rendiconti Dell'Istituto Di Matematica Dell'Universita Di Trieste Reviewer

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


Recent Postgraduates

  Graduation Student Name University Degree Thesis
2023 Sonia Foschiatti University of Trieste Current PhD student
2017 Olga Doeva University of Limerick Master of Science Optical tomography and medical imaging
2023 Jason Curran University of Limerick Current PhD student
2021 Christopher Murphy University of Limerick Master of Science
2024 Shraddha Naidu University of Limerick Current PhD student
2024 Niall Donlon University of Limerick Current PhD student