Brett Kolesnik
University of Warwick
Department of Statistics
Contact:
Interests: Probability theory. Random structures, geometry, algorithms, processes, etc. Interactions with combinatorics.
Group: Probability at Warwick (P@W)Link opens in a new window
Teaching: ST323/412 Multivariate Statistics. Office hours on Mondays 8–11am in Zeeman B0.17. Please drop in (no need to book/email in advance).
Coauthors: Daniel AhlbergLink opens in a new window, David AldousLink opens in a new window, Omer AngelLink opens in a new window, Eleanor ArcherLink opens in a new window, Zsolt BarthaLink opens in a new window, Michal BassanLink opens in a new window, Matthew BucklandLink opens in a new window, Serte DonderwinkelLink opens in a new window, Persi DiaconisLink opens in a new window, Janko GravnerLink opens in a new window, Ivailo HartarskyLink opens in a new window, Emmanuel JacobLink opens in a new window, Gal KronenbergLink opens in a new window, Grégory MiermontLink opens in a new window, Rivka MitchellLink opens in a new window, Sam Olesker-TaylorLink opens in a new window, Yuval PeledLink opens in a new window, Tomasz PrzybyłowskiLink opens in a new window, Mario SanchezLink opens in a new window, Bruno SchapiraLink opens in a new window, Daniel ValesinLink opens in a new window, Nick WormaldLink opens in a new window, Georgii ZakharovLink opens in a new window, Maksim ZhukovskiiLink opens in a new window
Research:
- Sharp Fuss–Catalan thresholds in graph bootstrap percolation
w/ Zsolt Bartha, Gal Kronenberg and Yuval Peled
arXiv:2510.26724Link opens in a new window - On the threshold for triangulations inside convex polygons
w/ Georgii Zakharov and Maksim Zhukovskii
arXiv:2509.10160Link opens in a new window - To see the forest for the trees: On the infinite divisibility of unlabeled forests
w/ Michal Bassan and Serte Donderwinkel
arXiv:2507.16650Link opens in a new window - The snake in the Brownian sphere
w/ Omer Angel, Emmanuel Jacob and Grégory Miermont
arXiv:2502:13074Link opens in a new window - Tournament score sequences, Erdős–Ginzburg–Ziv numbers, and the Lévy–Khintchine method
w/ Michal Bassan and Serte Donderwinkel
arXiv:2407.01411Link opens in a new window - Graphical sequences and plane trees
w/ Michal Bassan and Serte Donderwinkel
arXiv: 2406.05110Link opens in a new window - Catalan percolation
w/ Eleanor Archer, Ivailo Hartarsky, Sam Olesker-Taylor, Bruno Schapira and Daniel Valesin
Probability Theory and Related FieldsLink opens in a new window
Special Issue: In celebration of Geoffrey Grimmett's 70th birthday
arXiv:2404.19583Link opens in a new window - Critical beta-splitting, via contraction
Electronic Communications in ProbabilityLink opens in a new window
arXiv:2404.16021Link opens in a new window - Sinai excursions: An analogue of Sparre Andersen's formula for the area process of a random walk
w/ Serte Donderwinkel
arXiv:2403.12941Link opens in a new window - Tournaments and random walks
w/ Serte Donderwinkel
arXiv:2403.12940Link opens in a new window - Random walks on Coxeter interchange graphs
w/ Matthew Buckland, Rivka Mitchell and Tomasz Przybyłowski
Electronic Journal of ProbabilityLink opens in a new window
arXiv:2401.17210Link opens in a new window - Coxeter interchange graphs
w/ Rivka Mitchell and Tomasz Przybyłowski
Annals of CombinatoricsLink opens in a new window
arXiv:2312.04532Link opens in a new window - Annihilating branching Brownian motion
w/ Daniel Ahlberg and Omer Angel
International Mathematics Research NoticesLink opens in a new window
arXiv:2312.03669Link opens in a new window - H-percolation with a random H
w/ Zsolt Bartha and Gal Kronenberg
Electronic Communications in ProbabilityLink opens in a new window
arXiv:2312.03633Link opens in a new window - Coxeter tournaments
w/ Mario Sanchez
arXiv:2302.14002Link opens in a new window - The asymptotic number of score sequences
CombinatoricaLink opens in a new window
arXiv:2209.13563Link opens in a new window - Large deviations of the greedy independent set algorithm on sparse random graphs
Random Structures & AlgorithmsLink opens in a new window
arXiv:2011.04613Link opens in a new window - The geometry of random tournaments
w/ Mario Sanchez
Discrete & Computational GeometryLink opens in a new window
arXiv:2009.09322Link opens in a new window - Weakly saturated random graphs
w/ Zsolt Bartha
Random Structures & AlgorithmsLink opens in a new window
arXiv:2007.14716Link opens in a new window - Transitive closure in a polluted environment
w/ Janko Gravner
Annals of Applied ProbabilityLink opens in a new window
arXiv:1910.01800Link opens in a new window - Randomized sequential importance sampling for estimating the number of perfect matchings in bipartite graphs
w/ Persi Diaconis
Advances in Applied MathematicsLink opens in a new window
arXiv:1907.02333Link opens in a new window - To stay discovered: On tournament mean score sequences and the Bradley–Terry model
w/ David Aldous
Stochastic Processes and their ApplicationsLink opens in a new window
Special Issue: In Memoriam: Larry Shepp
arXiv:1811.06662Link opens in a new window - The sharp K4-percolation threshold on the Erdős–Rényi random graph
Electronic Journal of ProbabilityLink opens in a new window
arXiv:1705.08882Link opens in a new window - Large deviations for subcritical bootstrap percolation on the Erdős–Renyi graph
w/ Omer Angel
Journal of Statistical PhysicsLink opens in a new window
arXiv:1705.06815Link opens in a new window - Sharp thresholds for contagious sets in random graphs
w/ Omer Angel
Annals of Applied ProbabilityLink opens in a new window
arXiv:1611.10167Link opens in a new window - Stability of geodesics in the Brownian map
w/ Omer Angel and Grégory Miermont
Annals of ProbabilityLink opens in a new window
arXiv:1502.04576Link opens in a new window - Lower bounds for the isoperimetric numbers of random regular graphs
w/ Nick Wormald
SIAM Journal on Discrete MathematicsLink opens in a new window
arXiv:1311.6555Link opens in a new window
Background:
- PhD Mathematics, University of British Columbia, advised by Prof Omer Angel in the UBC Probability GroupLink opens in a new window.
- NSERC of Canada Postdoctoral Fellowship and Visiting Assistant Professorships at UC Berkeley and San Diego.
- Florence Nightingale Bicentennial Fellow in Statistics at the University of Oxford and Senior Demy at Magdalen College.
Events:
- Organizing Warwick Applied Probability SeminarLink opens in a new window (2025–26).
- Organizing (with Tom Berrett, Robert Christian, Anastasia Papavasileiou, Massimiliano Tamborrino, Dario Spanò and Wenkai Xu) European Meeting of StatisticiansLink opens in a new window at Warwick (2027).
- Organizing (with Paul Chleboun, John Fernley, Brett Kolesnik, Daniel Valesin and Andi Wang) reading groupLink opens in a new window on Justin Salez's recent St Flour notes (Term 3, 2026).
- Organized (with Richard Everitt and Matthew Thorpe) Warwick Stats Student Research Experience SeminarLink opens in a new window (2025).
- Organized (with József Balogh, Janko Gravner, Karen Gunderson and Rob Morris) Bootstrap Percolation & its ApplicationsLink opens in a new window at Banff International Research Station (2024).