Brett Kolesnik

University of Warwick
Department of Statistics

Email:

Research: Probability theory. Random structures, geometry, algorithms, processes, etc. Interactions with combinatorics.

Probability at Warwick (P@W)Link opens in a new window

Teaching:

• 2025–26:
  

  ST323/412 Multivariate Statistics

• 2024–25:
  ST323/412 Multivariate Statistics

  ST921 Statistical Frontiers
  ST924 Random Graphs

Office: Zeeman B0.17

CV: PhD Mathematics, University of British Columbia, advised by 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.

BIRS BP: In April 2024, we organized a workshop on Bootstrap Percolation & its ApplicationsLink opens in a new window at the Banff International Research Station (BIRS) together with József Balogh, Janko Gravner, Karen Gunderson and Rob Morris.

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, 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 

Papers:

• 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