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  1. Roots of Polynomials and Umbilics of Surfaces

    Article • Results in Mathematics, September 2023, Springer Science + Business Media

    Prof. Brendan Guilfoyle

  2. From CT scans to 4-manifold topology via neutral geometry

    Article • Irish Mathematical Society Bulletin, January 2023, Maynooth University

    Prof. Brendan Guilfoyle

  3. Umbilic Points on the Finite and Infinite Parts of Certain Algebraic Surfaces

    Article • Mathematical Proceedings of the Royal Irish Academy, January 2023, Project Muse

    Prof. Brendan Guilfoyle

  4. A Uniqueness Theorem for Incompressible Fluid Flows with Straight Streamlines

    Article • Journal of Mathematical Fluid Mechanics, July 2022, Springer Science + Business Media

    Prof. Brendan Guilfoyle

  5. Almost paracomplex structures on 4-manifolds

    Article • Differential Geometry and its Applications, June 2022, Elsevier

    Prof. Brendan Guilfoyle

  6. A new geometric structure on tangent bundles

    Article • Journal of Geometry and Physics, February 2022, Elsevier

    Prof. Brendan Guilfoyle

  7. An extension of Asgeirsson's mean value theorem for solutions of the ultra-hyperbolic equation in dimension four

    Article • Differential Geometry and its Applications, December 2021, Elsevier

    Prof. Brendan Guilfoyle

  8. Evolving to non-round Weingarten spheres: integer linear Hopf flows

    Article • Partial Differential Equations and Applications, October 2021, Springer Science + Business Media

    Prof. Brendan Guilfoyle

  9. Fredholm-Regularity of Holomorphic Discs in Plane Bundles over Compact Surfaces

    Article • Annales de la faculté des sciences de Toulouse Mathématiques, November 2020, Cellule MathDoc/CEDRAM

    Prof. Brendan Guilfoyle

  10. On isolated umbilic points

    Article • Communications in Analysis and Geometry, January 2020, International Press of Boston

    Prof. Brendan Guilfoyle

  11. Mean curvature flow of compact spacelike submanifolds in higher codimension

    Article • Transactions of the American Mathematical Society, February 2019, American Mathematical Society (AMS)

    Prof. Brendan Guilfoyle

  12. PARABOLIC CLASSICAL CURVATURE FLOWS

    Article • Journal of the Australian Mathematical Society, October 2017, Cambridge University Press

    Prof. Brendan Guilfoyle

  13. Hopf hypersurfaces in spaces of oriented geodesics

    Article • Journal of Geometry, September 2017, Springer Science + Business Media

    Prof. Brendan Guilfoyle

  14. Erratum to: On the geometry of spaces of oriented geodesics

    Article • Annals of Global Analysis and Geometry, June 2016, Springer Science + Business Media

    Prof. Brendan Guilfoyle

  15. A CONVERGING LAGRANGIAN FLOW IN THE SPACE OF ORIENTED LINES

    Article • Kyushu Journal of Mathematics, January 2016, Faculty of Mathematics, Kyushu University

    Prof. Brendan Guilfoyle

  16. The definitions of three‐dimensional landmarks on the human face: an interdisciplinary view

    Article • Journal of Anatomy, December 2015, Wiley

    Prof. Brendan Guilfoyle

  17. Marginally trapped surfaces in spaces of oriented geodesics

    Article • Journal of Geometry and Physics, August 2014, Elsevier

    Prof. Brendan Guilfoyle

  18. On the three-dimensional Blaschke-Lebesgue problem

    Article • Proceedings of the American Mathematical Society, May 2011, American Mathematical Society (AMS)

    Prof. Brendan Guilfoyle

  19. On the geometry of spaces of oriented geodesics

    Article • Annals of Global Analysis and Geometry, March 2011, Springer Science + Business Media

    Prof. Brendan Guilfoyle

  20. Minimal Lagrangian surfaces in the tangent bundle of a Riemannian surface

    Article • Journal of Geometry and Physics, January 2011, Elsevier

    Prof. Brendan Guilfoyle

  21. A characterization of Weingarten surfaces in hyperbolic 3-space

    Article • Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, September 2010, Springer Science + Business Media

    Prof. Brendan Guilfoyle

  22. On Weingarten surfaces in Euclidean and Lorentzian 3-space

    Article • Differential Geometry and its Applications, August 2010, Elsevier

    Prof. Brendan Guilfoyle

  23. Lagrangian Curves on Spectral Curves of Monopoles

    Article • Mathematical Physics Analysis and Geometry, July 2010, Springer Science + Business Media

    Prof. Brendan Guilfoyle

  24. On $\mathrm{C}^2$-smooth Surfaces of Constant Width

    Article • Tbilisi Mathematical Journal, January 2009, Tbilisi Centre for Mathematical Sciences

    Prof. Brendan Guilfoyle

  25. Geodesic Flow on Global Holomorphic Sections of ${TS}^2$

    Article • Bulletin of the Belgian Mathematical Society - Simon Stevin, June 2007, The Belgian Mathematical Society

    Prof. Brendan Guilfoyle

  26. Reflection in a Translation Invariant Surface

    Article • Mathematical Physics Analysis and Geometry, January 2007, Springer Science + Business Media

    Prof. Brendan Guilfoyle

  27. Reflection of a wave off a surface

    Article • Journal of Geometry, March 2006, Springer Science + Business Media

    Prof. Brendan Guilfoyle

  28. An Indefinite Kähler Metric on the Space of Oriented Lines

    Article • Journal of the London Mathematical Society, October 2005, Wiley

    Prof. Brendan Guilfoyle

  29. THE CASIMIR EFFECT BETWEEN NON-PARALLEL PLATES BY GEOMETRIC OPTICS

    Article • Reviews in Mathematical Physics, September 2005, World Scientific Pub Co Pte Lt

    Prof. Brendan Guilfoyle

  30. A structure theorem for stationary perfect fluids

    Article • Classical and Quantum Gravity, April 2005, Institute of Physics Publishing

    Prof. Brendan Guilfoyle

  31. On the space of oriented affine lines in $$ \mathbb{R}^3 $$

    Article • Archiv der Mathematik, January 2004, Springer Science + Business Media

    Prof. Brendan Guilfoyle

  32. The local moduli of Sasakian3-manifolds

    Article • International Journal of Mathematics and Mathematical Sciences, January 2002, Hindawi Publishing Corporation

    Prof. Brendan Guilfoyle

  33. Volatile Compound Release during Consumption: A Proposed Aroma Stimulus Index

    Article • September 2000, American Chemical Society (ACS)

    Prof. Brendan Guilfoyle

  34. Interior Weyl-type Solutions to the Einstein-Maxwell Field Equations

    Article • General Relativity and Gravitation, November 1999, Springer Science + Business Media

    Prof. Brendan Guilfoyle

  35. Weyl-type fields with geodesic lines of force

    Article • Journal of Mathematical Physics, April 1999, American Institute of Physics

    Prof. Brendan Guilfoyle

  36. Yang's Gravitational Theory

    Article • General Relativity and Gravitation, March 1998, Springer Science + Business Media

    Prof. Brendan Guilfoyle

  37. Geodesic Flow on the Normal Congruence of a Minimal Surface

    Article • Springer Science + Business Media

    Prof. Brendan Guilfoyle