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
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.
Before moving to Oxford, I completed my Master's degree in Mathematics at the University of Copenhagen, specializing in probability theory and stochastic analysis. I spent the second year of my MSc studies at ETH Zürich in Switzerland, where I wrote my Master's thesis under the supervision of Prof. Josef Teichmann (ETHZ) and Prof. Thomas Mikosch (UCPH) on rough path theory and signature developments on Lie groups. Prior to this, I completed two Bachelor's degrees at the University of Copenhagen in Actuarial Mathematics (2020) and (Pure) Mathematics (2021), respectively.