Louie Bernhardt

• Stability of Einstein-de Sitter universes (with David Fajman and Zoe Wyatt), Preprint, arXiv:2607.09326, (2026).

• Stability and scattering problems for expanding cosmologies in general relativity, PhD thesis, University of Melbourne, (2026).

• Future stability of solutions of the Einstein-nonlinear scalar field system with decelerated expansion, Preprint, arXiv:2508.15303, (2025).

• Linear waves on the expanding region of Schwarzschild-de Sitter spacetimes: Forward asymptotics and scattering from infinity, Commun. Math. Phys. 406(1), (2025).

• John’s blow up examples and scattering solutions for semi-linear wave equations (with Volker Schlue and Dongxiao Yu), 2023 MATRIX Annals, MATRIX Book Series, vol 6. Springer, (2025).

• Analysis, Geometry and PDE seminar, Monash University, Australia (Aug. 2026)

• Partial Differential Equations and Analysis Seminar, ANU, Australia (Jun. 2026)

• PhD completion seminar, University of Melbourne, Australia (Feb. 2026)

• Harmonic Analysis and Hamiltonian PDE Session, AustMS Annual Conference 2025, La Trobe University, Australia (Dec. 2025)

• Seminar, Differential geometry and general relativity, KTH, Sweden (Dec. 2025)

• General Relativity Reading Group, University of Cambridge, UK (Nov. 2025)

• Junior Analysis Seminar, Imperial College London, UK (Nov. 2025)

• Cretan Stars Workshop in Anogia, Greece (Nov. 2025) 

• Analysis, Geometry and PDE seminar, Monash University, Australia (Sep. 2025)

• Joint Meeting of the NZMS, AustMS, and AMS, University of Auckland, New Zealand (Dec. 2024)

• Seminar on Mathematical General Relativity, Sorbonne Université, France (Nov. 2024)

• Analysis Seminar, University of Melbourne, Australia (Sep. 2024)

• Pure Mathematics Seminar, University of Melbourne, Australia (Sep. 2024)

• Topics in General Relativity Seminar, University of Münster, Germany (Jul. 2024)

• Analysis Seminar, University of Melbourne, Australia (Apr. 2024)

• Hyperbolic PDEs and Nonlinear Evolution Problems, MATRIX, Australia, (Sep. 2023)

• Australia–New Zealand Student Conference on Relativity, Online, (May. 2023)

I am/was a class tutor for the following subjects at the University of Melbourne:

• (2026) MAST20033: Real Analysis Advanced, MAST30026: Metric and Hilbert Spaces, MAST90020: Functional Analysis,

• (2025) MAST20026: Real Analysis, MAST20033: Real Analysis Advanced, MAST90012: Measure Theory,

• (2023) MAST10006: Calculus 2, MAST10021: Advanced Calculus, MAST20026: Real Analysis.

In 2024, I was a class tutor for the General Relativity subject at the AMSI Summer School in the Mathematical Sciences, ANU.

I was a class tutor for the following subjects at the University of Otago:

• (2021) COMO101: Computational Modelling for Mathematics, MATH201: Real Analysis,

• (2020) MATH201: Real Analysis.