Staff profile

• Complex and Symplectic Differential Geometry
• Mathematical Optics
• Geometric Analysis

• Pure Mathematics: Geometry

• 2006: Member, Editorial Board, Proceeding of the Greek Mathematical Society:
• 0000: Editor of Proceedings of Edinburgh Mathematical Society:

Chapter in book

• Guilfoyle, Brendan & Klingenberg, Wilhelm (2008). A neutral Kähler surface with applications in geometric optics. In Recent Developments in Pseudo-Riemannian Geometry. Alekseevsky, Dmitri V. & Baum, Helga Zürich: European Mathematical Society. 149-178.

Conference Paper

• Diatta, A., Giblin, P., Guilfoyle, B. & Klingenberg, W. (2005), Level sets of functions and symmetry sets of surface sections, in Martin, R. R., Bez, H. E. & Sabin, M. A. eds, Lecture Notes in Computer Science 3604: Mathematics of Surfaces XI: 11th IMA international conference. Loughborough, Springer, 147-160.
• Klingenberg, W. (1997), Stability of the Bishop family of Holomorphic Discs, in Budzynski, Robert eds, Banach Center publications, Volume 39 Banach Center Symposium on Differential Geometry and Mathematical Physics in spring 1995. Warsaw, Polish Academy of Sciences, Institute of Mathematics, Warsaw, 73-76.

Journal Article

• Ballesteros-Chavez, Daniel, Klingenberg, Wilhelm & Lambert, Ben (2022). Weyl Estimates for spacelike hypersurfaces in de Sitter space. Pacific Journal of Mathematics 320(1): 1-11.
• Borza, Samuël & Klingenberg, Wilhelm (2022). Regularity and Continuity properties of the sub-Riemannian exponential map. Journal of Dynamical and Control Systems
• Guilfoyle, B. & Klingenberg, W. (2021). Evolving to Non-round Weingarten Spheres: Integer Linear Hopf Flows. Partial Differential Equations and Applications 2(6): 72.
• Ballesteros-Chávez, Daniel, Klingenberg, Wilhelm & Lambert, Ben (2021). Prescribed $k$ symmetric curvature hypersurfaces in de Sitter space. Canadian Mathematical Bulletin 64(4): 886-901.
• Guilfoyle, B. & Klingenberg, W. (2020). Fredholm-regularity of holomorphic discs in plane bundles over compact surfaces. Annales de la Faculté des Sciences de Toulouse 29(3): 565-576.
• Guilfoyle, B. & Klingenberg, K. (2019). Mean Curvature Flow of Compact Spacelike Submanifolds in Higher Codimension. Transactions of the American Mathematical Society 372(9): 6263-6281.
• Guilfoyle, B. & Klingenberg, W. (2019). A global version of a classical result of Joachimsthal. Houston Journal of Mathematics 45(2): 455-467.
• Guilfoyle, B. & Klingenberg, W. (2018). Parabolic Classical Curvature Flows. Journal of the Australian Mathematical Society 104(3): 338-357.
• Guilfoyle, Brendan & Klingenberg, Wilhelm (2016). A Converging Lagrangian Flow in the Space of Oriented Line. Kyushu Journal of Mathematics 70(2): 343-351.
• Georgiou, N., Guilfoyle, B. & Klingenberg, W. (2016). Totally null surfaces in neutral Kähler 4-manifolds. Balkan Journal of Geometry and Its Applications 21(1): 27-41.
• Alekseevsky, D., Guilfoyle, B. & Klingenberg, W. (2016). Erratum to: On the geometry of the space of oriented geodesicd. Annals of Global Analysis and Geometry
• Alekseevsky, D.V., Guilfoyle, B. & Klingenberg, W. (2011). On the geometry of spaces of oriented geodesics. Annals of Global Analysis and Geometry 40(4): 389-409.
• Guilfoyle, Brendan & Klingenberg, Wilhelm (2010). On Weingarten surfaces in Euclidean and Lorentzian 3-space. Differential Geometry and its Applications 28 (4): 454-468.
• Guilfoyle, B. & Klingenberg, W. (2009). Geodesic flow on the normal congruence of a minimal surface. Progress in Mathematics 265: 429-438.
• Guilfoyle, Brendan & Klingenberg, Wilhelm (2009). On C2-smooth Surfaces of Constant Width. Tbilisi Mathematical Journal 2 : 1-17.
• Guilfoyle, Brendan & Klingenberg, Wilhelm (2008). Area-stationary surfaces in neutral Kähler 4-manifolds. Beiträge zur Algebra und Geometrie 49 (2): 481-490.
• Klingenberg, Wilhelm & Guilfoyle, Brendan (2007). Geodesic Flow on Global Holomorphic Sections of TS^2. Bulletin of the Belgian Mathematical Society - Simon Stevin 14(2): 363-371.
• Klingenberg, W. & Guilfoyle, B. (2006). On Hamilton's characteristic functions for reflection. Bulletin of the Irish Mathematical Society 57: 29-40.
• Klingenberg, W. & Guilfoyle, B. (2006). Reflection of a wave off a surface. Journal of Geometry 84(1): 55-72.
• Klingenberg, Wilhelm & Guilfoyle, Brendan (2006). Reflection in a translation invariant surface. Mathematical Physics, Analysis and Geometry 9(3): 225-231.
• Klingenberg, W. & Guilfoyle, B. (2006). Isolated umbilic points on surfaces in R^3. Bulletin of the Greek Mathematical Society 51: 23-30.
• Guilfoyle, B., Klingenberg, W. & Sen, S. (2005). The Casimir effect between non-parallel plates by geometric optics. Reviews in Mathematical Physics 17(8): 859-880.
• Guilfoyle, B. & Klingenberg, W. (2005). An indefinite Kähler metric on the space of oriented lines. Journal of the London Mathematical Society 72(2): 497-509.
• Klingenberg, W. & Guilfoyle, B. (2004). Generalized surfaces in R^3. Mathematical Proceedings of the Royal Irish Academy 104A(2): 199-209.
• Guilfoyle, B. & Klingenberg, W. (2004). On the space of oriented affine lines in R^3. Archiv der Mathematik 82(1): 81-84.
• Klingenberg, W. (2001). Real hypersurfaces in Kähler manifolds. Asian Journal of Mathematics 5(1): 1-17.
• Klingenberg, W. & Huisken, G (1999). Flow of a hypersurface by the trace of the Levi form. Mathematical Research Letters 6(5): 645-661.
• Klingenberg, W. (1997). Moduli space of holomorphic discs with boundary. Archiv der Mathematik 69(3): 249-253.
• Klingenberg, W. (1985). Asymptotic curves on real analytic surfaces in C^2. Mathematische Annalen 273(1): 149-162.