Dr Alan McCarthy

Senior Lecturer and Discipline Head of Mathematics
BA(Hons.), MA, PhD

Email: Alan.McCarthy@nd.edu.au
Phone: 8204 4125

  • Biography

    Dr Alan McCarthy is a Lecturer and the Discipline Head of Mathematics in the School of Arts and Sciences, The University of Notre Dame Australia (Sydney Campus).

    Alan is originally from Ireland and was awarded his PhD from University College Cork. He moved to Sydney in 2014 to further pursue his research and was appointed to his current position in Notre Dame in 2017.

    His research interests lie in the area of differential and discrete geometry.

  • Teaching areas

    • Algebra
    • Calculus
    • Geometry
    • Discrete Mathematics
    • Differential Geometry
    • Discrete Geometry

  • Research interests and current projects:

    Dr McCarthy's research interests lie in the area of differential and discrete geometry.
    He is currently a member of a project looking at the discretisation of Projective Minimal Surface theory as well as investigating the deformation theory of flat tori in the 3-sphere.
    He is also part of a group looking at mathematical education in high schools and in particular the retraining of out-of-field mathematics teachers.

  • Journal articles and proceedings

    • McCarthy A, Schief WK, 2018, "Discrete projective minimal surfaces", Advances in Mathematics, vol. 336, pp. 1-37,
    • McCarthy A, Schief WK, 2017, "On the Combinatorics of Demoulin Transforms and (Discrete) Projective Minimal Surfaces", Discrete and Computational Geometry, vol. 57, pp. 215 - 230, http://dx.doi.org/10.1007/s00454-016-9827-x
    • A. McCarthy, 2014, "Doughnuts and the Fourth Dimension", The Boolean, 79-83. http://publish.ucc.ie/boolean/2014/00/mccarthy/15/en (2014).

  • Professional affiliations

    Member of the Australian Mathematical Society.

  • Community engagement

    Invited speaker at the Sydney Catholic Schools MX2 day, 2019 and 2020.