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Dr Clifford Nolan

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Clifford Nolan is a Lecturer in the Department of Mathematics & Statistics and the Course Director for the B.Sc. in Mathematics and Physics.  He is also an adjunct Professor of Mathematical Sciences at Rensselaer Polytechnic Institute in New York. Clifford’s research interests are in medical, seismic and radar imaging.  His research has been and continues to be supported as a sole PI and Co-PI on numerous grants from Science Foundation Ireland and the National Science Foundation of the United States and the American Institute of Mathematics. He has been a visiting scholar and mentor for extended visits at Brown University in Providence; Mathematical Sciences Research Institute at Berkeley; Mittag-Leffler Institute in Stockholm, Oberwolfach Research Institute for Mathematics in Germany and the Tata Institute in Bangalore.

Clifford’s current research focuses on medical and radar imaging. A major goal of his research is to develop better imaging algorithms to help doctors obtain earlier and more reliable diagnoses of malignant tumours (e.g. breast cancer).  The main mathematical tools used in his research are partial differential equations, microlocal analysis and symplectic geometry. These tools allow for improved identification of spurious artifacts in images and this is especially relevant for reducing the number of false positives in medical diagnostics.

Publications

Ambartsoumian, G., Felea, R., Krishnan, V.P., Nolan, C.J & Quinto, E.T. (2018). Singular FIOs in SAR imaging, II: transmitter and receiver at different speeds. SIAM Journal on Mathematical Analysis, 50 (1): 591–621. https://doi.org/10.1137/17M1125741

Nolan, C.J. (2015). Inversion Formulas in Inverse Scattering. Encyclopedia of Applied and Computational Mathematics. 1: 746–751. Springer, Heidelberg. https://doi.org/10.1007/978-3-540-70529-1  

Felea, R. Gaburro, R. and Nolan, C.J. (2013). Microlocal analysis of SAR imaging of a dynamic reflectivity function. SIAM Journal on Mathematical Analysis. 45 (5): 2767–2789, 2013. https://doi.org/10.1137/120873571  

Ambartsoumian, G., Felea, R., Nolan, C.J. and Quinto, E.T. (2013). A class of singular Fourier integral operators in synthetic aperture radar imaging. Journal of Functional Analysis. 264 (1): 246–269. https://doi.org/10.1016/j.jfa.2012.10.008  

Gaburro, R. and Nolan, C.J. (2008). Enhanced imaging from multiply scattered waves. Inverse Problems and Imaging. 2 (2): 225–250, 2008. https://doi.org/10.3934/ipi.2008.2.225