Our papers are the official record of our discoveries. They allow others to build on and apply our work. Each one is the result of many months of research, so we make a special effort to make our papers clear, inspiring and beautiful, and publish them in leading journals.
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T. Fink
O. Gamayun
A. Esterov
Y. He
F. Sheldon
A. V. Kosyak
A. Ochirov
E. Sobko
M. Burtsev
M. Reeves
I. Shkredov
G. Caldarelli
R. Hannam
F. Caravelli
A. Coolen
O. Dahlsten
A. Mozeika
M. Bardoscia
P. Barucca
M. Rowley
I. Teimouri
F. Antenucci
A. Scala
R. Farr
A. Zegarac
S. Sebastio
B. Bollobás
F. Lafond
D. Farmer
C. Pickard
T. Reeves
J. Blundell
A. Gallagher
M. Przykucki
P. Smith
L. Pietronero
Graph theory
BB
JLSL European Journal of CombinatoricsHypercube eigenvalues
Hamming balls, subgraphs of the hypercube, maximise the graph’s largest eigenvalue exactly when the dimension of the cube is large enough.
Percolation theory
PBBB
MPPS Transactions of the American Mathematical SocietyBootstrap percolation models
A subset of bootstrap percolation models, which stabilise systems of cells on infinite lattices, exhibit non-trivial phase transitions.
Graph theory
JBBB
BN Forum of Mathematics, SigmaErdős-Ko-Rado theorem analogue
A random analogue of the Erdős-Ko-Rado theorem sheds light on its stability in an area of parameter space which has not yet been explored.
Percolation theory
BB
KGCJMP Electronic Journal of ProbabilityPercolation on Galton-Watson trees
The critical probability for bootstrap percolation, a process which mimics the spread of an infection in a graph, is bounded for Galton-Watson trees.