skip to content

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
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
Conformal great circle flows on the 3-sphere
A Harris, GP Paternain
– Proceedings of the American Mathematical Society
(2015)
144,
1725
Floer homology for non-resonant magnetic fields on flat tori
U Frauenfelder, WJ Merry, GP Paternain
– Nonlinearity
(2015)
28,
1351
On the existence of three closed magnetic geodesics for subcritical energies
A Abbondandolo, L Macarini, GP Paternain
– Commentarii Mathematici Helvetici
(2015)
90,
155
Tensor tomography: Progress and challenges
GP Paternain, M Salo, G Uhlmann
– Chinese Annals of Mathematics, Series B
(2014)
35,
399
On the Range of the Attenuated Ray Transform for Unitary Connections
GP Paternain, M Salo, G Uhlmann
– International Mathematics Research Notices
(2015)
2015,
873
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
Contact geometry of the restricted three-body problem
P Albers, U Frauenfelder, O Van Koert, GP Paternain
– COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
(2012)
65,
229
Transparent Pairs
GP Paternain
– Journal of Geometric Analysis
(2012)
22,
1211
  • <
  • 2 of 10
  • >

Room

E1.07

Telephone

01223 765890