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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

Inverse Problem for the Yang-Mills Equations
X Chen, M Lassas, L Oksanen, GP Paternain
– Communications in Mathematical Physics
(2021)
384,
1187
Vortices over Riemann surfaces and dominated splittings
T Mettler, GP Paternain
– Ergodic Theory and Dynamical Systems
(2021)
1
A sharp stability estimate for tensor tomography in non-positive curvature
GP Paternain, M Salo
– Mathematische Zeitschrift
(2020)
298,
1323
Consistent Inversion of NoisyNon-Abelian X-RayTransforms
F Monard, R Nickl, GP Paternain
– Communications on Pure and Applied Mathematics
(2020)
74,
1045
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
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
– 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
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Room

E1.07

Telephone

01223 765890