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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 Transport Oka-Grauert principle for simple surfaces
J Bohr, GP Paternain
– Journal de l’École polytechnique — Mathématiques
(2023)
10,
727
Marked length spectrum rigidity for Anosov surfaces
C Guillarmou, T Lefeuvre, GP Paternain
(2023)
Invariant distributions and the transport twistor space of closed surfaces
J Bohr, T Lefeuvre, GP Paternain
(2023)
Geometric Inverse Problems
GP Paternain, M Salo, G Uhlmann
(2023)
204,
1
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds
M Cekic, B Delarue, S Dyatlov, GP Paternain
– Inventiones Mathematicae
(2022)
229,
303
Broken ray tensor tomography with one reflecting obstacle
J Ilmavirta, GP Paternain
– COMMUNICATIONS IN ANALYSIS AND GEOMETRY
(2022)
30,
1269
Detection of Hermitian connections in wave equations with cubic non-linearity
X Chen, M Lassas, L Oksanen, GP Paternain
– Journal of the European Mathematical Society
(2022)
24,
2191
STATISTICAL GUARANTEES for BAYESIAN UNCERTAINTY QUANTIFICATION in NONLINEAR INVERSE PROBLEMS with GAUSSIAN PROCESS PRIORS
F Monard, R Nickl, GP Paternain
– The Annals of Statistics
(2021)
49,
3255
On some information-theoretic aspects of non-linear statistical inverse problems
R Nickl, G Paternain
(2021)
Inverse Problem for the Yang-Mills Equations
X Chen, M Lassas, L Oksanen, GP Paternain
– Communications in Mathematical Physics
(2021)
384,
1187
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Room

E1.07

Telephone

01223 765890