Kieran Ryan
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I am a postdoc in mathematics at the Technical University of Vienna, in the probability group. I'm employed as part of the FWF SFB "Discrete random structures: enumeration and scaling limits".
Previously I was a postdoc at Aalto University with Eveliina Peltola, at TU Vienna with Marcin Lis, and at the University of Vienna with Alexander Glazman.
In 2021 I completed my PhD in maths at Queen Mary University of London. My supervisor was Sasha Sodin.
My research interests include quantum spin systems such as the Heisenberg model and related models, 2D classical lattice models such as percolation, the six-vertex model, and dimer models, and representation theory, for example of Brauer algebras.
My papers on arXiv and Google Scholar
Preprints:
Conformally invariant boundary arcs in double dimer models (with Marcin Lis and Lucas Rey) - 2024 - [arxiv]
Dimerization in O(n)-invariant quantum spin chains (with Jakob Björnberg) - 2025 - [arxiv]
Exponential decay in O(n)-invariant quantum spin systems (with Jakob Björnberg) - 2025 - [arxiv]
Publications:
Heisenberg models and Schur-Weyl Duality (with Jakob Björnberg and Hjalmar Rosengren) - Advances in Applied Mathematics Vol. 151, 2023 - [arxiv] [journal]
On a class of orthogonal-invariant quantum spin systems on the complete graph - IMRN, 2022 - [arxiv] [journal]
The Manhattan and Lorentz Mirror Models – A result on the Cylinder with low density of mirrors - JSP, Vol. 185, No. 7, 2021 - [arxiv] [journal]
Teaching
In the summer term 2024 I taught a Master's course in Percolation at Aalto University.
Contact:
kieran[dot]ryan[at]tuwien[dot]ac[dot]at
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