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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 Ruelle zeta function at zero for nearly hyperbolic 3-manifolds
M Cekic, B Delarue, S Dyatlov, GP Paternain
– Inventiones mathematicae
(2022)
1
Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors
F Monard, R Nickl, GP Paternain
– Annals of Statistics
(2021)
49,
3255
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)
42,
1781
A sharp stability estimate for tensor tomography in non-positive curvature
GP Paternain, M Salo
– Mathematische Zeitschrift
(2020)
298,
1323
Consistent Inversion of Noisy Non‐Abelian X‐Ray Transforms
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
– Annals of Statistics
(2019)
47,
1113
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Room

E1.07

Telephone

01223 765890