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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

Resonant spaces for volume preserving Anosov flows
M Cekić, GP Paternain
– Pure Appl. Analysis
(2019)
2,
57
Functions of constant geodesic x-ray transform
J Ilmavirta, GP Paternain
– Inverse Problems
(2019)
35,
065002
Efficient nonparametric Bayesian inference for $X$-ray transforms
F Monard, R Nickl, GP Paternain
– Annals of Statistics
(2019)
47,
1113
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
Broken ray tensor tomography with one reflecting obstacle
J Ilmavirta, GP Paternain
(2018)
Carleman estimates for geodesic X-ray transforms
GP Paternain, M Salo
(2018)
The Geodesic X-ray Transform with a $GL(n,\mathbb {C})$-Connection
F Monard, GP Paternain
– The Journal of Geometric Analysis
(2017)
30,
2515
Invariant distributions and the geodesic ray transform
GP Paternain, H Zhou
– Analysis & PDE
(2016)
9,
1903
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Room

E1.07

Telephone

01223 765890