Kieran Ryan
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I am a mathematician working as a postdoc in the probability group at the Technical University of Vienna. I'm employed as part of the FWF SFB "Discrete random structures: enumeration and scaling limits". I work on quantum spin systems and 2D classical statistical mechanics models.
In 2023-24 I was a postdoc at Aalto University with Eveliina Peltola; in 2022-23 I was a postdoc at TU Vienna with Marcin Lis, and in 2021-22 I was a postdoc at the University of Vienna with Alexander Glazman.
In 2021 I completed my PhD at Queen Mary University of London. My supervisor was Sasha Sodin.
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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