Staff profile

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

• 2006: Member, Editorial Board, Proceeding of the Greek Mathematical Society:
• 2000: Editor of Proceedings of Edinburgh Mathematical Society:

Chapter in book

• A neutral Kähler surface with applications in geometric optics.
  
  Guilfoyle, B., & Klingenberg, W. (2008). A neutral Kähler surface with applications in geometric optics. In D. V. Alekseevsky & H. Baum (Eds.), Recent Developments in Pseudo-Riemannian Geometry (pp. 149-178). European Mathematical Society. https://doi.org/10.4171/051-1/5

Conference Paper

• Level sets of functions and symmetry sets of surface sections
  
  Diatta, A., Giblin, P., Guilfoyle, B., & Klingenberg, W. (2005). Level sets of functions and symmetry sets of surface sections. In R. . R. Martin, H. . E. Bez, & M. . A. Sabin (Eds.), Mathematics of surfaces XI: 11th IMA international conference, Loughborough, UK, September 5-7, 2005: proceedings (pp. 147-160). Springer Verlag. https://doi.org/10.1007/11537908_9

Journal Article

• A capillary problem for spacelike mean curvature flow in a cone of Minkowski space
  
  Klingenberg, W., Lambert, B., & Scheuer, J. (2025). A capillary problem for spacelike mean curvature flow in a cone of Minkowski space. Journal of Evolution Equations, 25(1), Article 15. https://doi.org/10.1007/s00028-024-01045-7
• Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry
  
  Borza, S., & Klingenberg, W. (2024). Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry. Nonlinear Analysis, 239, Article 113421. https://doi.org/10.1016/j.na.2023.113421
• Roots of Polynomials and Umbilics of Surfaces
  
  Guilfoyle, durhamBrendan, & Klingenberg, W. (2023). Roots of Polynomials and Umbilics of Surfaces. Results in Mathematics, 78(6). https://doi.org/10.1007/s00025-023-02003-4
• Regularity and Continuity properties of the sub-Riemannian exponential map
  
  Borza, S., & Klingenberg, W. (2023). Regularity and Continuity properties of the sub-Riemannian exponential map. Journal of Dynamical and Control Systems, 29(4), 1385-1407. https://doi.org/10.1007/s10883-022-09624-y
• Weyl Estimates for spacelike hypersurfaces in de Sitter space
  
  Ballesteros-Chavez, D., Klingenberg, W., & Lambert, B. (2022). Weyl Estimates for spacelike hypersurfaces in de Sitter space. Pacific Journal of Mathematics, 320(1), 1-11. https://doi.org/10.2140/pjm.2022.320.1
• Prescribed $k$ symmetric curvature hypersurfaces in de Sitter space
  
  Ballesteros-Chávez, D., Klingenberg, W., & Lambert, B. (2021). Prescribed $k$ symmetric curvature hypersurfaces in de Sitter space. Canadian Mathematical Bulletin, 64(4), 886-901. https://doi.org/10.4153/s0008439520000910
• Evolving to Non-round Weingarten Spheres: Integer Linear Hopf Flows
  
  Guilfoyle, B., & Klingenberg, W. (2021). Evolving to Non-round Weingarten Spheres: Integer Linear Hopf Flows. Partial Differential Equations and Applications, 2(6), Article 72. https://doi.org/10.1007/s42985-021-00128-1
• Fredholm-regularity of holomorphic discs in plane bundles over compact surfaces
  
  Guilfoyle, B., & Klingenberg, W. (2020). Fredholm-regularity of holomorphic discs in plane bundles over compact surfaces. Annales De La Faculté Des Sciences De Toulouse : Mathématiques, 29(3), 565-576. https://doi.org/10.5802/afst.1639
• Mean Curvature Flow of Compact Spacelike Submanifolds in Higher Codimension
  
  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. https://doi.org/10.1090/tran/7766
• A global version of a classical result of Joachimsthal
  
  Guilfoyle, B., & Klingenberg, W. (2019). A global version of a classical result of Joachimsthal. Houston Journal of Mathematics, 45(2), 455-467.
• Parabolic Classical Curvature Flows
  
  Guilfoyle, B., & Klingenberg, W. (2018). Parabolic Classical Curvature Flows. Journal of the Australian Mathematical Society, 104(3), 338-357. https://doi.org/10.1017/s1446788717000210
• A Converging Lagrangian Flow in the Space of Oriented Line
  
  Guilfoyle, B., & Klingenberg, W. (2016). A Converging Lagrangian Flow in the Space of Oriented Line. Kyushu Journal of Mathematics., 70(2), 343-351. https://doi.org/10.2206/kyushujm.70.343
• Erratum to: On the geometry of the space of oriented geodesicd
  
  Alekseevsky, D., Guilfoyle, B., & Klingenberg, W. (2016). Erratum to: On the geometry of the space of oriented geodesicd. Annals of Global Analysis and Geometry, 50, 97–99. https://doi.org/10.1007/s10455-016-9515-3
• Totally null surfaces in neutral Kähler 4-manifolds
  
  Georgiou, N., Guilfoyle, B., & Klingenberg, W. (2016). Totally null surfaces in neutral Kähler 4-manifolds. Balkan Journal of Geometry and Its Applications : BJGA., 21(1), 27-41.
• On the geometry of spaces of oriented geodesics.
  
  Alekseevsky, D., Guilfoyle, B., & Klingenberg, W. (2011). On the geometry of spaces of oriented geodesics. Annals of Global Analysis and Geometry, 40(4), 389-409. https://doi.org/10.1007/s10455-011-9261-5
• On Weingarten surfaces in Euclidean and Lorentzian 3-space
  
  Guilfoyle, B., & Klingenberg, W. (2010). On Weingarten surfaces in Euclidean and Lorentzian 3-space. Differential Geometry and Its Applications, 28(4), 454-468. https://doi.org/10.1016/j.difgeo.2009.12.002
• On C2-smooth Surfaces of Constant Width.
  
  Guilfoyle, B., & Klingenberg, W. (2009). On C2-smooth Surfaces of Constant Width. Tbilisi Mathematical Journal, 2, 1-17.
• Geodesic flow on the normal congruence of a minimal surface.
  
  Guilfoyle, B., & Klingenberg, W. (2009). Geodesic flow on the normal congruence of a minimal surface. Progress in Mathematics, 265, 429-438.
• Area-stationary surfaces in neutral Kähler 4-manifolds
  
  Guilfoyle, B., & Klingenberg, W. (2008). Area-stationary surfaces in neutral Kähler 4-manifolds. Beiträge Zur Algebra Und Geometrie., 49(2), 481-490.
• Geodesic Flow on Global Holomorphic Sections of TS^2
  
  Klingenberg, W., & Guilfoyle, B. (2007). Geodesic Flow on Global Holomorphic Sections of TS^2. Bulletin of the Belgian Mathematical Society, Simon Stevin., 14(2), 363-371.
• Reflection in a translation invariant surface
  
  Klingenberg, W., & Guilfoyle, B. (2006). Reflection in a translation invariantsurface. Mathematical Physics, Analysis and Geometry, 9(3), 225-231. https://doi.org/10.1007/s11040-007-9013-8
• Isolated umbilic points on surfaces in R^3
  
  Klingenberg, W., & Guilfoyle, B. (2006). Isolated umbilic points on surfaces in R^3. Deltion tēs Hellēnikēs Mathēmatikēs Hetaireias = Bulletin De La Société mathématique De Grèce., 51, 23-30.
• Reflection of a wave off a surface.
  
  Klingenberg, W., & Guilfoyle, B. (2006). Reflection of a wave off a surface. Journal of Geometry, 84(1), 55-72. https://doi.org/10.1007/s00022-005-0022-0
• On Hamilton's characteristic functions for reflection
  
  Klingenberg, W., & Guilfoyle, B. (2006). On Hamilton’s characteristic functions for reflection. Bulletin, 57, 29-40.
• The Casimir effect between non-parallel plates by geometric optics
  
  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. https://doi.org/10.1142/s0129055x05002431
• An indefinite Kaehler metric on the space of oriented lines
  
  Guilfoyle, B., & Klingenberg, W. (2005). An indefinite Kaehler metric on the space of oriented lines. Journal of the London Mathematical Society, 72(2), 497-509. https://doi.org/10.1112/s0024610705006605
• Generalized surfaces in R^3
  
  Klingenberg, W., & Guilfoyle, B. (2004). Generalized surfaces in R^3. Mathematical Proceedings of the Royal Irish Academy., 104A(2), 199-209.
• On the space of oriented affine lines in R^3
  
  Guilfoyle, B., & Klingenberg, W. (2004). On the space of oriented affine lines in R^3. Archiv Der Mathematik, 82(1), 81-84. https://doi.org/10.1007/s00013-003-4861-3
• Real hypersurfaces of Kahler manifolds
  
  Klingenberg, W. (2001). Real hypersurfaces of Kahler manifolds. Asian Journal of Mathematics, 5(1), 1-18. https://doi.org/10.4310/ajm.2001.v5.n1.a1
• Flow of a hypersurface by the trace of the Levi form
  
  Klingenberg, W., & Huisken, G. (1999). Flow of a hypersurface by the trace of the Levi form. Mathematical Research Letters, 6(5), 645-661.
• Moduli space of holomorphic discs with boundary.
  
  Klingenberg, W. (1997). Moduli space of holomorphic discs with boundary. Archiv Der Mathematik, 69(3), 249-253. https://doi.org/10.1007/s000130050117
• Asymptotic curves on real analytic surfaces in C^2
  
  Klingenberg, W. (1985). Asymptotic curves on real analytic surfaces in C^2. Mathematische Annalen, 273(1), 149-162. https://doi.org/10.1007/bf01455920