Mie Kano Glückstad

CDT Mathematics of Random Systems student

Bio

Educational background:
PhD Mathematics of Random Systems at the University of Oxford (2023 - present)
Visiting student at ETH Zürich (2022 - 2023)
MSc Mathematics at the University of Copenhagen (2021 - 2023)
BSc (Pure) Mathematics at the University of Copenhagen (2020 - 2021)
BSc Actuarial Mathematics at the University of Copenhagen (2017 - 2020)

I wrote my master's thesis under the joint supervision of Prof. Josef Teichmann (ETHZ) and Prof. Thomas Mikosch (UCPH) on rough paths and signature development on Lie groups.

Teaching:
Probability, Measures & Martingales (MT24) - 1 set
Probability on Graphs & Lattices (MT24) - 2 sets

Research Interests

Probability theory, in particular:

  • discrete and continuum random trees,
  • scaling limits,
  • branching processes,

and technical tools for dealing with such objects. Right now I am mainly working on Lévy forests and their representation as scaling limits of Galton-Watson R-forests, using measure-theoretic tools developed on somewhat general classes of measured rooted R-trees. I also have broader interests in other aspects of probability such as percolation, statistical mechanics, random walks, random geometry and stochastic processes.

Besides this I also have research interests in rough path theory and related areas, in particular in connection with signatures, randomized signatures and their interface with differential geometry.

Contact Details

Email: mie.gluckstad@exeter.ox.ac.uk

Office:

Research Groups