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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

Index computations in Rabinowitz Floer homology
WJ Merry, GP Paternain
– Journal of Fixed Point Theory and Applications
(2011)
10,
87
Bäcklund transformations for transparent connections
GP Paternain
– Journal für die reine und angewandte Mathematik (Crelles Journal)
(2011)
2011,
27
Stability of Anosov Hamiltonian structures
WJ Merry, GP Paternain
– Journal of Topology and Analysis
(2010)
2,
419
On the stability of Mane critical hypersurfaces
L Macarini, GP Paternain
– Calculus of Variations and Partial Differential Equations
(2010)
39,
579
Stability is not open
K Cieliebak, U Frauenfelder, GP Paternain
– Annales de l’institut Fourier
(2010)
60,
2449
Symplectic topology of Mane's critical values
K Cieliebak, U Frauenfelder, GP Paternain
– Geometry & Topology
(2010)
14,
1765
Stability is not open
K Cieliebak, U Frauenfelder, GP Paternain
(2009)
Helicity and the Mañé critical value
GP Paternain
– Algebraic & Geometric Topology
(2009)
9,
1413
Collapsing manifolds obtained by Kummer-type constructions
GP Paternain, J Petean
– Transactions of the American Mathematical Society
(2009)
361,
4077
Transparent connections over negatively curved surfaces
GP Paternain
– Journal of Modern Dynamics
(2008)
3,
311
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Room

E1.07

Telephone

01223 765890