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(PhD Potsdam)Florian Beyer (2022)

Associate Dean International (Sciences)

Office: Science III, room 218
Tel +64 3 479 7768


I am an applied mathematician working on problems in analysis, PDEs and geometry many of which are motivated by mathematical physics, especially general relativity and cosmology. I am a member of the Gravity group of the University of Otago.

Since November 2022, I am the Associate Dean International (Sciences).

Teaching responsibilities

My teaching responsibilities include:

  • MATH 120 Mathematics fort Scientists
  • MATH 304 Partial Differential Equations
  • MATH 374 Mathematical Physics
  • MATH4DG Differential Geometry
  • MATH4MF Mathematical Finance

Research Interests


My research is about asymptotics and singular limits of solutions to partial differential equations (PDEs), especially so-called Fuchsian PDEs. These are nonlinear systems of wave equations appearing frequently in mathematics and mathematical physics where some of the coefficients may have characteristic “1/t-singularities”.

The main concerns of my research are, (i), global existence, stability and asymptotics of solutions of the Cauchy problem evolved towards the singular time t=0 from some initial time T>0, and, (ii), singular initial value problems where one seeks solutions that are launched from the singular time t=0 into the increasing time direction.

Mathematical/computational general relativity/cosmology

I am interested in fundamental questions, like nonlinear stability of cosmological models, Roger Penrose's cosmic censorship conjecture, asymptotic simplicity and Mixmaster dynamics.


Beyer, F., & Oliynyk, T. (2024). Localized big bang stability for the Einstein-scalar field equations. Archive for Rational Mechanics & Analysis, 248, 3. doi: 10.1007/s00205-023-01939-9 Journal - Research Article

Beyer, F., Marshall, E., & Oliynyk, T. A. (2023). Future instability of FLRW fluid solutions for linear equations of state p = Kp with 1/3 < K < 1. Physical Review D, 107, 104030. doi: 10.1103/PhysRevD.107.104030 Journal - Research Article

Beyer, F., & Ritchie, J. (2022). Asymptotically hyperboloidal initial data sets from a parabolic-hyperbolic formulation of the Einstein vacuum constraints. Classical & Quantum Gravity, 39, 145012. doi: 10.1088/1361-6382/ac79f1 Journal - Research Article

Ames, E., Beyer, F., Isenberg, J., & Oliynyk, T. A. (2022). Stability of asymptotic behaviour within polarized T2-symmetric vacuum solutions with cosmological constant. Philosophical Transactions of the Royal Society A, 380, 20210173. doi: 10.1098/rsta.2021.0173 Journal - Research Article

Ames, E., Beyer, F., Isenberg, J., & Oliynyk, T. A. (2022). Stability of AVTD behavior within the polarized Τ2-symmetric vacuum spacetimes. Annales Henri Poincaré, 23, 2299-2343. doi: 10.1007/s00023-021-01142-0 Journal - Research Article

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