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Department of Pure Mathematics and Mathematical Statistics

Professor of Mathematics

Research Interests: Differential Geometry, Analysis and Dynamical Systems. Geometric inverse problems, especially geodesic ray transforms.

Publications

Invariant distributions, Beurling transforms and tensor tomography in higher dimensions
GP Paternain, M Salo, G Uhlmann
– Mathematische Annalen
(2015)
363,
305
On the existence of three closed magnetic geodesics for subcritical energies
A Abbondandolo, L Macarini, GP Paternain
– Commentarii Mathematici Helvetici
(2015)
90,
155
Spectral rigidity and invariant distributions on Anosov surfaces
GP Paternain, M Salo, G Uhlmann
– Journal of Differential Geometry
(2014)
98,
147
Tensor tomography: Progress and challenges
GP Paternain, M Salo, G Uhlmann
– Chinese Annals of Mathematics, Series B
(2014)
35,
399
Symplectic and contact properties of the Mane critical value of the universal cover
GP Paternain, A Sorrentino
– Nonlinear Differential Equations and Applications NoDEA
(2014)
21,
679
On the Range of the Attenuated Ray Transform for Unitary Connections
GP Paternain, M Salo, G Uhlmann
– International Mathematics Research Notices
(2013)
2015,
873
Tensor tomography on surfaces
GP Paternain, M Salo, G Uhlmann
– Inventiones mathematicae
(2012)
193,
229
Equivariant symplectic homology of Anosov contact structures
L Macarini, GP Paternain
– Bulletin of the Brazilian Mathematical Society, New Series
(2012)
43,
513
Floer homology for magnetic fields with at most linear growth on the universal cover
U Frauenfelder, WJ Merry, GP Paternain
– J FUNCT ANAL
(2012)
262,
3062
Floer homology for magnetic fields with at most linear growth on the universal cover
U Frauenfelder, WJ Merry, GP Paternain
– Journal of Functional Analysis
(2012)
262,
3062
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Room

E1.07

Telephone

01223 765890