Romina Gaburro


Contact Details

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

Biography

I am a mathematician working in the Department of Mathematics and Statistics at the University of Limerick (UL). I obtained an MSc (Italian Laura) in Mathematics from the Universitā degli Studi di Trieste, Italy and a PhD in Mathematics from the University of Manchester Institute of Science and Technology (UMIST), UK. Following my PhD, I worked as a Research Fellow at the Universitā degli Studi di Trieste, followed by a Science Foundation Ireland (SFI) Senior Postdoctoral Fellowship at UL. I am currently an associate professor (senior lecturer) in the Department of Mathematics and Statistics at UL, where I also serve as the Director for Postgraduate studies, Course Director for the MSc in Mathematical Modelling, and the Research Representative for the Department in the Science and Engineering Faculty Research Committee. At UL, I am a member of the Health Research Institute (HRI) and was a funded investigator of CONFIRM, the SFI centre for smart manufacturing. I serve on the committee of the Irish Mathematical Society (IMS), where I was appointed Chair of the 'Irish Committee for Equality, Diversity and Inclusion in Mathematics (ICEDIM)', formed in 2022. I was appointed Vice-Chair of the Royal Irish Academy 'Physical, Chemical and Mathematical Sciences Committee' for the term 2022-2026. I am involved in the promotion of gender balance in STEM also internationally. I am currently one of the two country coordinators 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

My 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.

My 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 Universitā 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.

Upcoming events I am co-organising:

ICEDIM Women in Mathematics Day, May 10, 2024, University of Limerick.

Recent events I have co-organised:

  • INI Semester programme "Rich and nonlinear tomography: a multi-disciplinary approach", Isaac Newton Institute for Mathematical Sciences, Cambridge, U.K. https://www.newton.ac.uk/event/rnt/
  • INI Workshop "Synergistic workshop on Rich and Nonlinear tomography aimed at drawing together all strands of both methods and applications with new insights," Isaac Newton Institute for Mathematical Sciences, Cambridge, U.K., June 19-23, 2023. https://www.newton.ac.uk/event/rntw04/  Deadline for applications March 20, 2023.
  • International Summer School on Inverse Problems in Geophysics, Lake Como School of Advanced Studies, September 18-22, 2023 (website under construction).
  • Irish Mathematical Society annual meeting, University of Limerick, August 31 - September 1, 2023.

Recent invited talks/scientific visits:
    • Invited speaker at the mini-symposium "Uniqueness and stability in inverse problems for partial differential equations", international conference "Applied Inverse Problems (AIP) 2023", Georg-August Universitat Gottingen, Germany, September 4-8, 2023.
    • Invited speaker at the mini-symposium "Inverse problems with anisotropy", international conference "Applied Inverse Problems (AIP) 2023", Georg-August Universitat Gottingen, Germany, September 4-8, 2023.
    • Invited speaker at the international conference "Inverse problems in the Desert", New York University Abu Dhabi, U.A.E., December 19-22, 2022.
    • Keynote speaker at the "9th Annual SIAM Student Chapter Conference", University of Galway, Ireland, December 9, 2022.
    • Invited speaker at the "SFI Centre for Research Training in Foundation of Data Science", Kemmy Business School, University of Limerick, Ireland, December 5-9, 2022.
    • Invited speaker at the international workshop "Solvers for frequency-domain wave problems and applications", Strathckyde University, Glasgow, U.K., June 20-25, 2022.
    • 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 international mini-symposium "Inverse problems for PDEs: from analysis to applications", Biennial Conference of the Royal Spanish Mathematical Society, Diudad Real, Spain, January 17-21, 2022.

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
2024 'Determining an anisotropic conductivity by boundary measurements: Stability at the boundary'
Alessandrini G.;Gaburro R.;Sincich E. (2024) 'Determining an anisotropic conductivity by boundary measurements: Stability at the boundary'. Differential Equations, 382 :115-140 [DOI] [Details]
2023 'TIME-HARMONIC DIFFUSE OPTICAL TOMOGRAPHY: HÖLDER STABILITY OF THE DERIVATIVES OF THE OPTICAL PROPERTIES OF A MEDIUM AT THE BOUNDARY'
Curran J.;Gaburro R.;Nolan C.;Somersalo E. (2023) 'TIME-HARMONIC DIFFUSE OPTICAL TOMOGRAPHY: HÖLDER STABILITY OF THE DERIVATIVES OF THE OPTICAL PROPERTIES OF A MEDIUM AT THE BOUNDARY'. Inverse Problems And Imaging, 17 (2):338-361 [DOI] [Details]
2023 'Stability and reconstruction of a special type of anisotropic conductivity in magneto-acoustic tomography with magnetic induction (accepted)'
Donlon N, Gaburro R., Moskow S., Woods I. (2023) 'Stability and reconstruction of a special type of anisotropic conductivity in magneto-acoustic tomography with magnetic induction (accepted)'. Siam Journal On Computing, [Details]
2023 'Time-harmonic diffuse optical tomography: Holder stability of the derivatives of the optical properties of a medium at the boundary'
Curran J., Gaburro R., Nolan C., Somersalo E. (2023) 'Time-harmonic diffuse optical tomography: Holder stability of the derivatives of the optical properties of a medium at the boundary'. Inverse Problems And Imaging, 17 (2):338-361 [Details]
2023 'Microlocal analysis of borehole seismic data'
R. Felea, R. Gaburro, A. Greenleand and C. Nolan (2023) 'Microlocal analysis of borehole seismic data'. Inverse Problems And Imaging, 16 (6):1543-1570 [DOI] [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]
2022 'Lipschitz stability at the boundary for time-harmonic diffuse optical tomography'
Doeva O.;Gaburro R.;Lionheart W.R.B.;Nolan C.J. (2022) '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]

Honours and Awards

  Year Title Awarding Body
2022 UL President's Research Excellence and Impact Awards - Outstanding Research Collaboration Award University of Limerick
2023 Simons Foundation Fellowship, University of Cambridge Isaac Newton Institute for Mathematical Sciences

Professional Associations

  Association Function From / To
Irish Mathematical Society (IMS) Committee member /
EMS Topical Activity Group on Inverse Problems Founding Member /
Inverse Problems International Association (IPIA) Member /
SIAM Activity Group on Imaging Science Member /
CONFIRM SFI centre for smart manufacturing Funded investigator /
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 /

Committees

  Committee Function From / To
Irish Committee for Equality, Diversity and Inclusion in Mathematics Chair /
Royal Irish Academy "Physical, Chemical and Mathematical Sciences Committee" Vice-Chair /
UL Science and Engineering Research Committee Committee member /
UL Athena Swan "Career development and support (Academics)" Committee member /
UL "Ethnic Diversity Forum" Committee member /

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
2026 Jessica Crosse University of Limerick Current PhD student
2025 David McMahon University of Limerick 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
2025 Niall Donlon University of Limerick Current PhD student