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.
Date Position Institution name 2020 Postdoctoral Fellow University of Adelaide 2019 - 2020 Postdoctoral Fellow Australian National University
Language Competency French Can read
Date Institution name Country Title — The University of Wollongong Australia PhD
Year Citation 2020 MacDonald, L. (2020). Equivariant KK-theory for non-Hausdorff groupoids. Journal of Geometry and Physics, 154, 17 pages.
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.
— MacDonald, L., & Rennie, A. (n.d.). The Godbillon-Vey invariant in equivariant $KK$-theory. Th., 5, 249-294.
— MacDonald, L. E. (n.d.). Hierarchies of holonomy groupoids for foliated bundles. — MacDonald, L. E. (n.d.). The holonomy groupoids of singularly foliated bundles. — Macdonald, L., Mathai, V., & Saratchandran, H. (n.d.). On the Chern character in Higher Twisted K-theory and spherical
Year Citation — MacDonald, L. (n.d.). A characteristic map for the holonomy groupoid of a foliation.
Connect With Me