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Faculty of Mathematics

 

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)
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds
M Cekic, B Delarue, S Dyatlov, GP Paternain
– Inventiones mathematicae
(2022)
229,
303
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
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
(2021)
24,
2191
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
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
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Research Groups

Analysis & Partial Differential Equations
Cantab Capital Institute for the Mathematics of Information
Differential Geometry & Topology

Room

E1.07

Telephone

01223 765890