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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

The Geodesic X-ray Transform with a $GL(n,\mathbb {C})$-Connection
F Monard, GP Paternain
– Journal of Geometric Analysis
(2020)
30,
2515
Convex projective surfaces with compatible Weyl connection are hyperbolic
T Mettler, GP Paternain
– Analysis & PDE
(2020)
13,
1073
Consistent Inversion of NoisyNon-Abelian X-RayTransforms
F Monard, R Nickl, GP Paternain
– Communications on Pure and Applied Mathematics
(2020)
cpa.21942
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
Holomorphic differentials, thermostats and Anosov flows
T Mettler, GP Paternain
– Mathematische Annalen
(2019)
373,
553
The geodesic X-ray transform with matrix weights
GP Paternain, M Salo, G Uhlmann, H Zhou
– American Journal of Mathematics
(2019)
141,
1707
Inverse problems for the connection Laplacian
Y Kurylev, L Oksanen, GP Paternain
– Journal of Differential Geometry
(2018)
110,
457
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
(2016)
343,
83
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Room

E1.07

Telephone

01223 765890