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I'm a lecturer (assistant professor) in probability at King's College London. Previously I was a postdoc in Bath, Graz, and Dublin. I completed my PhD in Probability in 2017 at the University of Bath, having completed my MMath at the University of Oxford in 2014.
I'm a lecturer (assistant professor) in probability at King's College London. Previously I was a postdoc in Bath, Graz, and Dublin. I completed my PhD in Probability in 2017 at the University of Bath, having completed my MMath at the University of Oxford in 2014.
I'm a research mathematician with broad research interests spanning probability theory and related areas, including statistical physics, random matrix theory, free probability, representation theory, convex geometry, combinatorics, optimal transport, and in combinatorial approaches to the Jacobian conjecture.
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.
S. G. G. Johnston (2023).
A fast Berry-Esseen theorem under minimal density assumptions.
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 (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.
Invited Talks
2026
May 2026 — Będlewo, Poland: Discrete Random Structures II
Feb 2026 — University of Oxford, UK: Functional Analysis Seminar
Jan 2026 — University of Warwick, UK: Probability Seminar
2025
Dec 2025 — La Trobe University, Australia: AustMS 2025 Annual Meeting
Oct 2025 — University of Bristol, UK: Probability Seminar
Oct 2025 — Queen Mary University of London, UK: Probability and Applications Seminar
Aug 2025 — Xiangtan University, China: Third International Conference for Young Chinese Probabilists
Jun 2025 — Imperial College London, UK: Random Systems CDT
Feb 2025 — UCLA, USA: Conference in Free Entropy Theory and Random Matrices
Feb 2025 — University of Oxford, UK: Probability Seminar
Feb 2025 — Imperial College London, UK: Stochastic Analysis Seminar
2024
Dec 2024 — King’s College London, UK: CFE–CMStatistics 2024
Oct 2024 — UNAM, Mexico: Probability Seminar
Oct 2024 — CIMAT, Mexico: Probability Seminar
Oct 2024 — CIMAT, Mexico: Colloquium
Aug 2024 — Estes Park, Colorado, USA: Random Theory 2024 Workshop
Jun 2024 — Durham University, UK: Probability in the North East Workshop
May 2024 — University of Warwick, UK: Applied Probability Seminar
Apr 2024 — University of Warwick, UK: Conference in Models and Inference in Population Genetics
Apr 2024 — University of Edinburgh, UK: Probability Seminar
Feb 2024 — Queen Mary University of London, UK: Probability and Applications Seminar
2023
Nov 2023 — Warsaw University of Technology, Poland: Probability Seminar (Online)
Oct 2023 — UCLA, USA: Functional Analysis Seminar (Online)
Oct 2023 — Będlewo, Poland: Discrete Random Structures Conference
Sep 2023 — University of Bielefeld, Germany: Ancestral Lines in Genetic Models Workshop
Sep 2023 — University of Graz, Austria: Probabilistic Methods in Convexity
Jul 2023 — University of Lisbon, Portugal: Stochastic Processes and Applications
May 2023 — University of Cambridge, UK: Probability Seminar
Mar 2023 — ICMS Sofia, Bulgaria: Recent Developments in Stochastic Processes
Mar 2023 — Algebraic and Combinatorial Perspectives in the Mathematical Sciences (Online)
Feb 2023 — University of Warwick, UK: Statistical Mechanics Seminar
Feb 2023 — University of Sussex, UK: Mathematics and Applications Seminar
Jan 2023 — CIMAT, Mexico: BUC Probability Meeting
2022
Oct 2022 — UCL, UK: Probability Seminar
Sep 2022 — University of Wrocław, Poland: Probability and Analysis
Aug 2022 — CIMAT, Mexico: Probability Seminar
Jun 2022 — UCL, UK: Conference in Point Configurations and Rigidity
May 2022 — UNAM, Mexico: Seminario de Probabilidad para Estudiantes de Posgrado (Online)
Mar 2022 — University of Bath, UK: Algebra and Number Theory Seminar
2021
May 2021 — University of Bath, UK: Probability Seminar (Online)
2020
Aug 2020 — IMS–Bernoulli One World Symposium (Online)
Jun 2020 — Online Open Probability School (Online)
2019
Dec 2019 — Ruhr University Bochum, Germany: Probability Seminar
Oct 2019 — University of Graz, Austria: Algorithms and Complexity in High Dimensions
2018
Jun 2018 — Collège de France, France: Probability Seminar
Apr 2018 — University of Sheffield, UK: UK Easter Probability Meeting
Feb 2018 — University College Dublin, Ireland: Reading Group
Jan 2018 — University College Dublin, Ireland: Probability Seminar
2017
May 2017 — Beijing Normal University, China: Workshop on Branching and Related Topics
Mar 2017 — University of Bath, UK: Prob–L@B Seminar
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