# Department of Pure Mathematics and Mathematical Statistics

Research Interests: Planar graphs, circle packing, random graphs, maps, and other structures, random walk, potential theory, spanning forests, percolation, spin systems, self-avoiding walk, probability on groups, random permutations.

## Publications

Universality of high-dimensional spanning forests and sandpiles
T Hutchcroft
– Probability Theory and Related Fields
(2020)
176,
533
Mallows Permutations and Finite Dependence
AE Holroyd, T Hutchcroft, A Levy
– Annals of Probability
(2020)
48,
343
Uniform Spanning Forests of Planar Graphs
T Hutchcroft, A Nachmias
– Forum of Mathematics, Sigma
(2019)
7,
e29
Self-avoiding walk on nonunimodular transitive graphs
T Hutchcroft
– Annals of Probability
(2019)
47,
2801
Harmonic Dirichlet Functions on Planar Graphs
T Hutchcroft
– Discrete & Computational Geometry
(2019)
61,
479
Interlacements and the Wired Uniform Spanning Forest
T Hutchcroft
– The Annals of Probability
(2018)
46,
1170
The component graph of the uniform spanning forest: transitions in dimensions $9,10,11,\ldots$ 9 , 10 , 11 , …
T Hutchcroft, Y Peres
– Probability Theory and Related Fields
(2019)
175,
141
The Hammersley-Welsh bound for self-avoiding walk revisited
T Hutchcroft
– Electronic Communications in Probability
(2018)
23,
Indistinguishability of trees in uniform spanning forests
T Hutchcroft, A Nachmias
– Probability Theory and Related Fields
(2017)
168,
113
Boundaries of planar graphs: a unified approach
T Hutchcroft, Y Peres
– Electronic Journal of Probability
(2017)
22,
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