Lachlan MacDonald

Lachlan MacDonald

School of Mathematical Sciences

Faculty of Engineering, Computer and Mathematical Sciences

I completed my PhD at the University of Wollongong under the supervision of A. Rennie. The title of my thesis is ``Characteristic Classes of Foliated Manifolds in Noncommutative Geometry", wherein I studied how formulae for characteristic classes (such as the Godbillon-Vey invariant) could be obtained using equivariant KK-theory and local index formulae.

My current research is into the equivariant cohomology of foliated manifolds, with a view to defining characteristic classes for singular foliations. In my spare time I daydream about applications of differential-geometric ideas to learning theory, physics and economics.

  • Journals

    Year Citation
    2020 MacDonald, L. (2020). Equivariant KK-theory for non-Hausdorff groupoids. Journal of Geometry and Physics.
    2020 MacDonald, L. E., & Rennie, A. (2020). The Godbillon-Vey invariant and equivariant KK-theory. Annals of K-Theory.
    2016 Pan, A. V., MacDonald, L., Baiej, H., & Cooper, P. (2016). Theoretical Consideration of Superconducting Coils for Compact Superconducting Magnetic Energy Storage Systems. IEEE Transactions on Applied Superconductivity, 26(3), 1-5.
  • Internet Publications

    Year Citation
    2019 MacDonald, L. E. (2019). A characteristic map for the holonomy groupoid of a foliation. Elsevier.

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