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Contact
Email: geometryrg@maths.nuim.ie
Research Topics
Research topics of interest to this group include: Differential Geometry, Algebraic Geometry, Algebraic Topology, Analysis on Metric Spaces, and Conformal Analysis. For further information on the research interests of individual members of the group please see Staff Research Interests. For information on possible postgraduate research areas please see Proposed Research Projects.
Events Organised
- Summer School in Geometric Analysis, Samos, Greece, May 31 - June 5, 2010 Co-organisers
- Irish Geometry Conference, NUI Maynooth, 14 - 15 May, 2010
- A week on Thurston's Geometrisation, following Perelman, NUI Maynooth, January 11-15, 2010
- Summer school in Conformal Geometry, Potential Theory, and Applications: NUI Maynooth, 23-27 June 2009
Recent Publications - 2006 to 2010
-
Bechtluft-Sachs, S. and Wraith, D.J.
Manifolds of low cohomogeneity and positive Ricci curvature.
Differential Geometry and its Applications. 28 (2010), 282-289. -
Stefan Bechtluft-Sachs
An integral formula for the Maslov-index of a symplectic path.
Reports on Mathematical Physics 61, 417-427 (2008). -
Stefan Bechtluft-Sachs and E. Samiou
The Monge-Ampere equation and warped products of higher rank.
Journal of the Australian Mathematical Society 83, 11-17 (2007). -
Stefan Bechtluft-Sachs
A finite element computation of eigenvalues of elliptic operators on compact manifolds.
J. Computational Analysis and Applications 9, 385-393 (2007). -
Stefan Bechtluft-Sachs
Infima of universal energy functionals on homotopy classes.
Mathematische Nachrichten 279, 1634-1640 (2006) -
Buckley, S.M., McDougall, J. and Wraith, D.J.
On Ptolemaic metric simplicial complexes.
Mathematical Proceedings of the Cambridge Philosophical Society. 149
(2010), 93-104.(2010) -
Buckley, S.M., Falk, K. and Wraith, D.J.
Ptolemaic spaces and CAT(0)
Glasgow Math. Journal 51 (2009), 301-314. - Accepted:
S.M. Buckley
Negative curvature and complex analysis.
Accepted by Contemporary Mathematics.(2009) - Accepted:
S.M. Buckley, and S.L. Kokkendorff
Comparing the Floyd and ideal boundaries of a metric space.
Accepted: Transactions of the American Mathematical Society (2009). - Accepted:
S.M. Buckley, and S.L. Kokkendorff
Detours and Gromov hyperbolicity
Accepted: International Journal of Pure and Applied Mathematics (2009). -
S.M. Buckley, and D. Vukotic
Univalent interpolation in Besov spaces and superposition into Bergman spaces.
Potential Analysis 29, 1-16 (2008). -
S.M. Buckley, D.A. Herron, and X. Xie
Metric space inversions, quasihyperbolic distance, and uniform spaces
Indiana University Mathematics Journal 57, 837-890 (2008). -
S.M. Buckley, and D.A. Herron
Uniform domains and weak slice spaces
Conformal Geometry and Dynamics 11, 191-206 (2007). -
S.M. Buckley, and D.A. Herron
Uniform domains and capacity.
Israel Journal of Mathematics 158, 129-157 (2007). -
S.M. Buckley, and D. Vukotic
Superposition operators and the order and type of entire functions.
Contemporary Mathematics 393, 51-58 (2006). -
S.M. Buckley, and P. Koskela
Ends of metric measure spaces and Sobolev inequalities.
Matematische Zeitschrift 252, 275-285 (2006). -
J. Bjorn, S.M. Buckley, and S. Keith
Admissable measures in one dimension.
Proceedings of the American Mathematical Society 134, 703-705 (2006). - Anthony G. O'Farrell - All publications.
- A.J. Small
Formulae for Null Curves Deriving from Elliptic Curves.
Journal of Geometry and Physics 58, no. 4, 502-505 (2008). -
Bechtluft-Sachs, S. and Wraith, D.J.
Manifolds of low cohomogeneity and positive Ricci curvature.
Differential Geometry and its Applications. 28 (2010), 282-289. -
Buckley, S.M., McDougall, J. and Wraith, D.J.
On Ptolemaic metric simplicial complexes.
Mathematical Proceedings of the Cambridge Philosophical Society. 149
(2010), 93-104.(2010) -
Buckley, S.M., Falk, K. and Wraith, D.J.
Ptolemaic spaces and CAT(0)
Glasgow Math. Journal 51 (2009), 301-314. - M. Joachim and D.J. Wraith
Exotic spheres and curvature.
Bulletin of the American Math. Soc. 45, 595-616 (2008). - D.J. Wraith
New connected sums with positive Ricci curvature.
Annals of Global Analysis and Geometry 32, 343-360 (2007). - D.J. Wraith
Bundle stabilisation and positive Ricci curvature.
Differential Geometry and its Applications 25, 552-560 (2007). - D.J. Wraith
On a theorem of Ambrose.
Journal of the Australian Mathematical Society 81, 149-152 (2006).