Mie Kano Gluckstad
DPhil Student, EPSRC CDT Mathematics of Random Systems
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Teaching Assistant:
Probability, Measures & Martingales (MT24) - 1 set
Probability on Graphs & Lattices (MT24) - 2 sets
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.
Previous qualifications:
- 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.