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I'm a lecturer (assistant professor) in probability at King's College London.
I'm a lecturer (assistant professor) in probability at King's College London.
I have broad research interests in probability and related areas. At the moment, I'm particularly interested in tackling questions arising in random matrices, asymptotic representation theory, and convex geometry, and using tools from probability and statistical physics and large deviations to provide answers to such questions in the language of optimal transport, calculus of variations, and free probability.
I have broad research interests in probability and related areas. At the moment, I'm particularly interested in tackling questions arising in random matrices, asymptotic representation theory, and convex geometry, and using tools from probability and statistical physics and large deviations to provide answers to such questions in the language of optimal transport, calculus of variations, and free probability.
Preprints
S. G. G. Johnston (2025).
On creating convexity in high dimensions.
S. G. G. Johnston, A. Kyprianou, T. Rogers and E. Schertzer (2025).
S. G. G. Johnston and R. Shiatis (2025).
S. G. G. Johnston and C. McSwiggen (2024).
On the limiting Horn inequalities.
S. G. G. Johnston and J. Prochno (2024).
The macroscopic shape of Gelfand–Tsetlin patterns and free probability.
P. Dyszewski, S. G. G. Johnston, J. Prochno and S. Palau (2024).
The largest fragment in self-similar fragmentation processes of positive index.
O. Arizmendi and S. G. G. Johnston (2023).
Free probability via entropic optimal transport.
E. Bisi, P. Dyszewski, N. Gantert, S. G. G. Johnston, J. Prochno and D. Schmid (2023).
Random planar trees and the Jacobian conjecture.
Accepted publications
S. G. G. Johnston (2025+).
Continuous Kasteleyn theory for the bead model.
J. Eur. Math. Soc.
S. C. Harris, S. G. G. Johnston and J. C. Pardo (2024).
Universality classes for the coalescent structure of heavy-tailed Galton–Watson trees.
Ann. Probab.
D. Cheek and S. G. G. Johnston (2023).
Ancestral reproductive bias in branching processes.
J. Math. Biol.
S. G. G. Johnston and A. Lambert (2023).
The coalescent structure of uniform and Poisson samples from multitype branching processes.
Ann. Appl. Probab.
S. G. G. Johnston, A. Kyprianou and T. Rogers (2022).
Ann. Appl. Probab.
S. G. G. Johnston (2022).
A degree bound for strongly nilpotent polynomial automorphisms.
J. Algebra.
P. Dyszewski, N. Gantert, S. G. G. Johnston, J. Prochno and D. Schmid (2022).
Sharp concentration for the largest and smallest fragment in a k-regular self-similar fragmentation.
Ann. Probab.
S. G. G. Johnston and J. Prochno (2022).
Faà di Bruno’s formula and inversion of power series.
Adv. Math.
S. G. G. Johnston and J. Prochno (2022).
A Maxwell principle for generalized Orlicz balls.
Ann. Inst. Henri Poincaré Probab. Stat.
J. Heiny, S. G. G. Johnston and J. Prochno (2022).
Thin-shell theory for rotationally invariant random simplices.
Electron. J. Probab.
S. G. G. Johnston and J. Prochno (2022).
Berry–Esseen bounds for random projections of ℓₚᴺ balls.
Studia Math.
S. G. G. Johnston, Z. Kabluchko and J. Prochno (2022).
Projections of the uniform distribution on the cube — a large deviation perspective.
S. G. G. Johnston and N. O’Connell (2020).
Scaling limits for directed polymers and Whittaker measures.
J. Stat. Phys.
S. C. Harris, S. G. G. Johnston and M. Roberts (2020).
The coalescent structure of continuous-time Galton–Watson trees.
Ann. Appl. Probab.
S. G. G. Johnston (2019).
The genealogy of Galton–Watson trees.
Electron. J. Probab.
Miscelleneous work and notes
S. G. G. Johnston (2023).
A fast Berry-Esseen theorem under minimal density assumptions.
S. G. G. Johnston (2022).
Beads on the torus via scaling limits of lozenge tilings.
PhD students:
Rohan Shiatis (2023 - present)
Neil Mukerji (2024 - present)
Collaborators:
I've had the good fortune of collaborating with Octavio Arizmendi, Elia Bisi, Dave Cheek, Piotr Dyszewski, Nina Gantert, Simon Harris, Johannes Heiny, Zakhar Kabluchko, Andreas Kyprianou, Amaury Lambert, Colin McSwiggen, Neil O'Connell, Juan Carlos Pardo, Sandra Palau, Joscha Prochno, Matt Roberts, Tim Rogers, Emmanuel Schertzer, Dominik Schmid and Rohan Shiatis.
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