## BIOGRAPHY

## Research Interests

The fundamental theme of my research lies in the investigation of the underlying structure of various theories, so as to identify whatever features may lead to a unification. For instance, in mathematics, I have unified certain aspects of differential geometry (See D. Hurley and M. Vandyck, Topics in Differential Geometry; a new approach using D-Differentiation, 2002, Springer-Praxis, London, ISBN 1-85233-491-6.) Similarly, I have proposed, in Physics, a unification of certain superstring models (D. Hurley and M. Vandyck, Gen. Rel. Grav., (2007), 39, 1689-1695) and a unification of Newtonian Mechanics with Relativity (D. Hurley and M. Vandyck, Found. Phys., (2008), 38, 395-408). These unifications have been recognised as genuine and valuable. (See, e.g., reviews in Zentralblatt Math Database under numbers Zbl 1079.53002 and Zbl pre05277200, as well as in Mathematical Reviews MR2390265.)

## Publications

### Books

Year | Publication | |
---|---|---|

(2002) | Topics in differential geometry; a new approach using D-differentiation.D. Hurley and M. Vandyck; (2002) Topics in differential geometry; a new approach using D-differentiation. Berlin Heidelberg New-York: Springer-Verlag. [Details] | |

(2000) | Geometry, spinors and applications.D. Hurley and M.Vandyck; (2000) Geometry, spinors and applications. Berlin Heidelberg New-York: Springer-Verlag. [Details] |

### Book Chapters

Year | Publication | |
---|---|---|

(2006) | 'Two Cultures' D. Hurley and M. Vandyck; (2006) 'Two Cultures' In: An observation about the Huygens Clock Problem. Base: Kim Williams, Birkhauser. [Details] |

### Peer Reviewed Journals

Year | Publication | |
---|---|---|

(2009) | 'D-Differentiation In Hilbert Space and The Structure of Quantum Mechanics' Hurley, DJ, Vandyck, MA; (2009) 'D-Differentiation In Hilbert Space and The Structure of Quantum Mechanics' [DOI] [Details] | |

(2009) | 'D-Differentiation in Hilbert Space and the Structure of Quantum Mechanics' Hurley, DJ,Vandyck, MA; (2009) 'D-Differentiation in Hilbert Space and the Structure of Quantum Mechanics' [DOI] [Details] | |

(2008) | 'A note on the general relationship between D-differentiation and covariant differentiation' D. Hurley and M. Vandyck; (2008) 'A note on the general relationship between D-differentiation and covariant differentiation' [Details] | |

(2008) | 'A unified framework for relativity and curvilinear-time Newtonian mechanics' D. Hurley and M. Vandyck; (2008) 'A unified framework for relativity and curvilinear-time Newtonian mechanics' [Details] | |

(2007) | 'Super D-differentiation for R^\infinity-supermanifolds' D. Hurley and M. Vandyck; (2007) 'Super D-differentiation for R^\infinity-supermanifolds' [Details] | |

(2007) | 'Tensorial curvature and D-differentiation, Part I: Commutative kind' D. Hurley and M. Vandyck; (2007) 'Tensorial curvature and D-differentiation, Part I: Commutative kind' [Details] | |

(2007) | 'Tensorial curvature and D-differentiation, Part II: Principal kind and Einstein-Maxwell theory' D. Hurley and M. Vandyck; (2007) 'Tensorial curvature and D-differentiation, Part II: Principal kind and Einstein-Maxwell theory' [Details] | |

(2007) | 'A geometrical framework for dyons in the presence of the dilaton and the axion in four dimensions' D. Hurley and M. Vandyck; (2007) 'A geometrical framework for dyons in the presence of the dilaton and the axion in four dimensions' [Details] | |

(2006) | 'A geometrical interpretation of Supergauge transformations using D-differentiation' D. Hurley and M. Vandyck; (2006) 'A geometrical interpretation of Supergauge transformations using D-differentiation' [Details] | |

(2003) | 'The temperature compensator of H1' M. Vandyck; (2003) 'The temperature compensator of H1' [Details] | |

(2002) | 'On the problem of anisochronism in John Harrison¿s first sea clock, Part I' M. Vandyck; (2002) 'On the problem of anisochronism in John Harrison¿s first sea clock, Part I' [Details] | |

(2002) | 'On the problem of anisochronism in John Harrison¿s first sea clock, Part II' M. Vandyck; (2002) 'On the problem of anisochronism in John Harrison¿s first sea clock, Part II' [Details] | |

(2001) | 'A unified framework for Lie and covariant differentiation (with application to tensor fields)' D. Hurley and M. Vandyck; (2001) 'A unified framework for Lie and covariant differentiation (with application to tensor fields)' [Details] | |

(2001) | 'Quaternions in Physics: Victorian curiosities or enlightening language?' M. Vandyck; (2001) 'Quaternions in Physics: Victorian curiosities or enlightening language?' [Details] | |

(2001) | 'A unified and general treatment of solar calendars and sundials' M. Vandyck; (2001) 'A unified and general treatment of solar calendars and sundials' [Details] | |

(2001) | 'A unified and general treatment of solar calendars and sundials, Part II' M. Vandyck; (2001) 'A unified and general treatment of solar calendars and sundials, Part II' [Details] | |

(2000) | 'An application of D-differentiation to solid-state physics' D. Hurley and M. Vandyck; (2000) 'An application of D-differentiation to solid-state physics' [Details] | |

(1996) | 'Maxwell's equations in spaces with non-metricity and torsion' M. Vandyck; (1996) 'Maxwell's equations in spaces with non-metricity and torsion' [Details] | |

(1995) | 'Dust- and radiation-filled homogeneous and isotropic universes in four-dimensional generalized dilaton-gravity theory' M. Vandyck; (1995) 'Dust- and radiation-filled homogeneous and isotropic universes in four-dimensional generalized dilaton-gravity theory' [Details] | |

(1995) | 'Homogeneous and isotropic universes in dilaton-gravity theory. Part II: observational consequences' 16) M. Vandyck; (1995) 'Homogeneous and isotropic universes in dilaton-gravity theory. Part II: observational consequences' [Details] | |

(1995) | 'On the concept of Lie and covariant derivatives of spinors, Part III' D. Hurley and M. Vandyck; (1995) 'On the concept of Lie and covariant derivatives of spinors, Part III' [Details] | |

(1994) | 'An investigation of satellite orbits in the Vinti potential using the Runge-Lenz vector' F. Livesey, S. O hEighearta and M. Vandyck; (1994) 'An investigation of satellite orbits in the Vinti potential using the Runge-Lenz vector' [Details] | |

(1994) | 'On the damped harmonic oscillator in the de Broglie-Bohm hidden-variable theory' M. Vandyck; (1994) 'On the damped harmonic oscillator in the de Broglie-Bohm hidden-variable theory' [Details] | |

(1994) | 'On the concept of Lie and covariant derivatives of spinors, Part I' D. Hurley and M. Vandyck, ; (1994) 'On the concept of Lie and covariant derivatives of spinors, Part I' [Details] | |

(1994) | 'On the concept of Lie and covariant derivatives of spinors, Part II' D. Hurley and M. Vandyck; (1994) 'On the concept of Lie and covariant derivatives of spinors, Part II' [Details] | |

(1993) | 'Weak-field gravity of revolving circular cosmic strings' D. MacManus and M. Vandyck; (1993) 'Weak-field gravity of revolving circular cosmic strings' [Details] | |

(1993) | 'On the problem of space-time symmetries in the theory of supergravity, Part V' M. Vandyck; (1993) 'On the problem of space-time symmetries in the theory of supergravity, Part V' [Details] | |

(1992) | 'On a terrestrial electro-motive force induced by galactic magnetic fields' M. Vandyck and M. Chearnley; (1992) 'On a terrestrial electro-motive force induced by galactic magnetic fields' [Details] | |

(1991) | 'On Robinson¿s expansion of the axially symmetric Robinson-Trautman metrics' M. Vandyck; (1991) 'On Robinson¿s expansion of the axially symmetric Robinson-Trautman metrics' [Details] | |

(1991) | 'A remark on the twin `Paradox¿' M. Vandyck; (1991) 'A remark on the twin `Paradox¿' [Details] | |

(1991) | 'An alternative formulation of the WKB approximation in quantum mechanics' M. Vandyck; (1991) 'An alternative formulation of the WKB approximation in quantum mechanics' [Details] | |

(1990) | 'On the problem of space-time symmetries in the theory of supergravity, Part IV' M. Vandyck; (1990) 'On the problem of space-time symmetries in the theory of supergravity, Part IV' [Details] | |

(1990) | 'On the problem of space-time symmetries in the theory of supergravity, Part IV' M. Vandyck; (1990) 'On the problem of space-time symmetries in the theory of supergravity, Part IV' [Details] | |

(1989) | 'On the problem of space-time symmetries in the theory of supergravity, Part III' M. Vandyck; (1989) 'On the problem of space-time symmetries in the theory of supergravity, Part III' [Details] | |

(1989) | 'On an alternative type of water barometer' M. Vandyck; (1989) 'On an alternative type of water barometer' [Details] | |

(1988) | 'On the problem of space-time symmetries in the theory of supergravity' M. Vandyck; (1988) 'On the problem of space-time symmetries in the theory of supergravity' [Details] | |

(1988) | 'On the problem of space-time symmetries in the theory of supergravity, Part II' M. Vandyck; (1988) 'On the problem of space-time symmetries in the theory of supergravity, Part II' [Details] | |

(1987) | 'On the time evolution of some Robinson-Trautman solutions: II' 3) M. Vandyck; (1987) 'On the time evolution of some Robinson-Trautman solutions: II' [Details] | |

(1987) | 'On the motion of test-particles in the theory of supergravity' M. Vandyck; (1987) 'On the motion of test-particles in the theory of supergravity' [Details] | |

(1985) | 'Some time-dependent axially symmetric metrics generalising the Weyl and the Einstein-Rosen line elements' M. Vandyck,; (1985) 'Some time-dependent axially symmetric metrics generalising the Weyl and the Einstein-Rosen line elements' [Details] | |

(1985) | 'On the time evolution of some Robinson-Trautman solutions' M. Vandyck; (1985) 'On the time evolution of some Robinson-Trautman solutions' [Details] | |

(1984) | 'On the approach of equilibrium in the Ehrenfest two-dimensional gas model' M. Vandyck; (1984) 'On the approach of equilibrium in the Ehrenfest two-dimensional gas model' [Details] |

### Conference Publications

Year | Publication | |
---|---|---|

(2006) | Proceedings of GIREP Conference 2006: Modelling in Physics and Physics EducationJ. O¿Riordan, C. O¿Sullivan, P. Twomey and M. Vandyck; (2006) The coefficient of restitution model: how realistic is it? . In: O. Slooten, E. van den Berg and T. Ellermeijer eds. Proceedings of GIREP Conference 2006: Modelling in Physics and Physics Education Amsterdam, , pp.246-251 [Details] | |

(1987) | Proceedings of the 2nd Hungarian Relativity WorkshopM. Vandyck; (1987) On the time evolution of some Robinson-Trautman solutions . In: Z. Perejes eds. Proceedings of the 2nd Hungarian Relativity Workshop , pp.54-70 [Details] |

### Conference Contributions

Year | Publication | |
---|---|---|

(2004) | Second Irish Geometry Conference,,M. Vandyck; (2004) . [Conference Organising Committee Member], Second Irish Geometry Conference,, University College Cork , 21-MAY-04 - 22-MAY-04 |

## Professional Activities

### Employment

Employer | Position | From / To | |
---|---|---|---|

University College Cork | College Lecturer (Half Time) | 14-JUL-03 / | |

Waterford Institute of Technology | Mathematics Lecturer | 01-JAN-88 / 01-JAN-89 | |

Cork Institute of Technology | Physics Lecturer | 01-JAN-89 / 01-JAN-96 | |

University College, Cork | Physics Lecturer (temporary and part-time contracts) | 01-JAN-89 / 01-JAN-03 |

### Education

Year | Instituion | Qualification | Subject | |
---|---|---|---|---|

1981 | University of Louvain | BSC - THEORETICAL PHYSICS - LOUVAIN | Theoretical Physics | |

1985 | University of Louvain | PhD | Theoretical Physics | |

1982 | University of Louvain | MSc | Theoretical Physics |