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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

Power-law bounds for critical long-range percolation below the upper-critical dimension
T Hutchcroft
– Probability Theory and Related Fields
(2021)
1
Large, lengthy graphs look locally like lines
I Benjamini, T Hutchcroft
– Bulletin of the London Mathematical Society
(2020)
53,
482
New critical exponent inequalities for percolation and the random cluster model
T Hutchcroft
– Probability and Mathematical Physics
(2020)
1,
147
On the tail of the branching random walk local time
O Angel, T Hutchcroft, A Járai
– Probability Theory and Related Fields
(2020)
180,
467
Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution
J Hermon, T Hutchcroft
– Inventiones Mathematicae
(2020)
224,
445
Nonuniqueness and mean-field criticality for percolation on nonunimodular transitive graphs
T Hutchcroft
– Journal of the American Mathematical Society
(2020)
33,
1101
Geometric and spectral properties of causal maps
N Curien, T Hutchcroft, A Nachmias
– Journal of the European Mathematical Society
(2020)
22,
3997
Mallows permutations as stable matchings
O Angel, AE Holroyd, T Hutchcroft, A Levy
– Canadian Journal of Mathematics
(2020)
1
Anomalous diffusion of random walk on random planar maps
E Gwynne, T Hutchcroft
– Probability Theory and Related Fields
(2020)
178,
567
Kazhdan groups have cost 1
T Hutchcroft, G Pete
– Inventiones mathematicae
(2020)
221,
873
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Room

D2.01

Telephone

01223 337967