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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

Lens Rigidity for a Particle in a Yang–Mills Field
GP Paternain, G Uhlmann, H Zhou
– Communications in Mathematical Physics
(2019)
366,
681
Inverse problems for the connection Laplacian
Y Kurylev, L Oksanen, GP Paternain
– Journal of Differential Geometry
(2018)
110,
457
Holomorphic differentials, thermostats and Anosov flows
T Mettler, GP Paternain
– Mathematische Annalen
(2018)
373,
553
The geodesic X-ray transform with a $GL(n,\mathbb{C})$-connection
F Monard, GP Paternain
– The Journal of Geometric Analysis
(2017)
30,
2515
Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level
A Abbondandolo, L Macarini, M Mazzucchelli, GP Paternain
– Journal of the European Mathematical Society
(2017)
19,
551
Invariant distributions and the geodesic ray transform
GP Paternain, H Zhou
– Analysis & PDE
(2016)
9,
1903
The X-Ray Transform for Connections in Negative Curvature
C Guillarmou, GP Paternain, M Salo, G Uhlmann
– Communications in Mathematical Physics
(2015)
343,
83
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
Invariant distributions, Beurling transforms and tensor tomography in higher dimensions
GP Paternain, M Salo, G Uhlmann
– Mathematische Annalen
(2015)
363,
305
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Room

E1.07

Telephone

01223 765890