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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

Consistent Inversion of Noisy Non‐Abelian X‐Ray Transforms
F Monard, R Nickl, GP Paternain
– Communications on Pure and Applied Mathematics
(2020)
cpa.21942
Convex projective surfaces with compatible Weyl connection are hyperbolic
T Mettler, GP Paternain
– Analysis & PDE
(2020)
13,
1073
The geodesic X-ray transform with matrix weights
GP Paternain, M Salo, G Uhlmann, H Zhou
– American Journal of Mathematics
(2019)
141,
1707
Efficient nonparametric Bayesian inference for $X$-ray transforms
F Monard, R Nickl, GP Paternain
– The 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
The Geodesic X-ray Transform with a $GL(n,\mathbb {C})$-Connection
F Monard, GP Paternain
– 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 and PDE
(2016)
9,
1903
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Room

E1.07

Telephone

01223 765890