Staff
Wilhelm Klingenberg, PhD Purdue University
Nat Sci Course Director, Associate Professor (Reader), Geometry in the Department of Mathematical Sciences
Telephone: +44 (0) 191 33 43069
Room number: CM332
Member of the Centre for Communications Systems
Contact Wilhelm Klingenberg (email at wilhelm.klingenberg@durham.ac.uk)
Supervises
- Mr Supanat Kamtue
- Mr Jack Towers
- Mr Tristan Hasson
- Mr Samuel Borza
- Mr Amar Al-jzari
- Mr Mohamed Abdulali
Research Groups
- Pure Mathematics: Geometry
Research Interests
- Complex and Symplectic Differential Geometry
- Geometric Analysis
- Mathematical Optics
Selected Publications
Journal Article
- 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. (2019). Fredholm-regularity of holomorphic disks in plane bundles. Annales de la Faculté des Sciences de Toulouse
- Guilfoyle, B. & Klingenberg, K. (2019). Mean Curvature Flow of Compact Spacelike Submanifolds in Higher Codimension. Transactions of the Americal Mathematical Society 372(9): 6263-6281.
- 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.
- Alekseevsky, D., Guilfoyle, B. & Klingenberg, W. (2016). Erratum to: On the geometry of the space of oriented geodesicd. Annals of Global Analysis and Geometry
- 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.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, Wilhelm & Guilfoyle, Brendan (2006). Reflection in a translation invariant surface. Mathematical Physics, Analysis and Geometry 9(3): 225-231.
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.