Brett Kolesnik

Assistant Professor

Contact

University of Warwick
Department of Statistics
Coventry
CV4 7AL
United Kingdom

Zeeman B0.17

Research

Probability theory. Random structures, geometry, processes, etc. Interactions with combinatorics and discrete mathematics. Probability at WarwickLink opens in a new window.

Teaching

Currently teaching ST323/412 Multivariate Statistics.

Background

PhD in Mathematics advised by Prof. Omer AngelLink opens in a new window at the University of British Columbia. Natural Sciences and Engineering Research Council of Canada Postdoctoral Fellow and Visiting Assistant Professor at the University of California, Berkeley and San Diego. Florence Nightingale Bicentennial Fellow in Statistics at the University of Oxford and Senior Demy at Magdalen College.

Coauthors

Daniel AhlbergLink opens in a new window, David AldousLink opens in a new window, Omer AngelLink opens in a new window, Zsolt BarthaLink opens in a new window, Eleanor ArcherLink opens in a new window, Michal BassanLink opens in a new window, Matthew BucklandLink opens in a new window, Persi DiaconisLink opens in a new window, Serte DonderwinkelLink opens in a new window, Janko GravnerLink opens in a new window, Ivailo HartarskyLink 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, Emmanuel JacobLink 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

Preprints

• Sharp Fuss–Catalan thresholds in graph bootstrap percolation
  Z. Bartha, B. Kolesnik, G. Kronenberg, and Y. Peled
  arXiv:2510.26724Link opens in a new window
  Gil Kalai's blogLink opens in a new window
• On the threshold for triangulations inside convex polygons
  B. Kolesnik, G. Zakharov, and M. Zhukovskii
  arXiv:2509.10160Link opens in a new window
• To see the forest for the trees: On the infinite divisibility of unlabeled forests
  M. Bassan, S. Donderwinkel, and B. Kolesnik
  arXiv:2507.16650Link opens in a new window

Publications

• Coxeter tournaments
  B. Kolesnik and M. Sanchez
  Ann. Comb., to appear
  arXiv:2302.14002Link opens in a new window
• Tournaments and random walks
  S. Donderwinkel and B. Kolesnik
  Ann. Inst. Henri Poincaré, Probab. Stat., to appear
  arXiv:2403.12940Link opens in a new window
• Tournament score sequences, Erdős–Ginzburg–Ziv numbers, and the Lévy–Khintchine method
  M. Bassan, S. Donderwinkel, and B. Kolesnik
  Electron. Commun. Probab.Link opens in a new window
  arXiv:2407.01441Link opens in a new window
• Graphical sequences and plane trees
  M. Bassan, S. Donderwinkel, and B. Kolesnik
  Combin. Probab. Comput.Link opens in a new window
  arXiv:2406.05110Link opens in a new window
• Sinaĭ excursions: An analogue of Sparre Andersen's formula for the area process of a random walk
  S. Donderwinkel and B. Kolesnik
  J. Stat. Phys.Link opens in a new window
  arXiv:2403.12941Link opens in a new window
• The snake in the Brownian sphere
  O. Angel, E. Jacob, B. Kolesnik, and G. Miermont

  Int. Math. Res. Not. IMRNLink opens in a new window
  arXiv:2502.13074Link opens in a new window

• Catalan percolation
  E. Archer, I. Hartarsky, B. Kolesnik, S. Olesker-Taylor, B. Schapira, and D. Valesin
  Probab. Theory 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
• Coxeter interchange graphs
  B. Kolesnik, R. Mitchell, and T. Przybyłowski
  Ann. Comb.Link opens in a new window
  arXiv:2312.04532Link opens in a new window
• Critical beta-splitting, via contraction
  B. Kolesnik
  Electron. Commun. Probab.Link opens in a new window
  arXiv:2404.16021Link opens in a new window
• Random walks on Coxeter interchange graphs
  M. Buckland, B. Kolesnik, R. Mitchell, and T. Przybyłowski
  Electron. J. Probab.Link opens in a new window
  arXiv.2401.17210Link opens in a new window
• H-percolation with a random H
  Z. Bartha, B. Kolesnik, and G. Kronenberg
  Electron. Commun. Probab.Link opens in a new window
  arXiv:2312.03663Link opens in a new window
• Annihilating branching Brownian motion
  D. Ahlberg, O. Angel, and B. Kolesnik
  Int. Math. Res. Not. IMRNLink opens in a new window
  arXiv:2312.03669Link opens in a new window
• Weakly saturated random graphs
  Z. Bartha and B. Kolesnik
  Random Structures AlgorithmsLink opens in a new window
  arXiv:2007.14716Link opens in a new window
• The geometry of random tournaments
  B. Kolesnik and M. Sanchez
  Discrete Comput. Geom.Link opens in a new window
  arXiv:2009.09322Link opens in a new window
• The asymptotic number of score sequences
  B. Kolesnik
  CombinatoricaLink opens in a new window
  arXiv:2209.13563Link opens in a new window
• Transitive closure in a polluted environment
  J. Gravner and B. Kolesnik
  Ann. Appl. Probab.Link opens in a new window
  arXiv:1910.01800Link opens in a new window
• Large deviations of the greedy independent set algorithm on sparse random graphs
  B. Kolesnik
  Random Structures AlgorithmsLink opens in a new window
  arXiv:2011.04613Link opens in a new window
• To stay discovered: On tournament mean score sequences and the Bradley–Terry model
  D. Aldous and B. Kolesnik
  Stochastic Process. Appl.Link 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
  B. Kolesnik
  Electron. J. Probab.Link opens in a new window
  arXiv:1705.08882Link opens in a new window
• Large deviations for subcritical bootstrap percolation on the Erdős–Rényi graph
  O. Angel and B. Kolesnik
  J. Stat. Phys.Link opens in a new window
  arXiv:1705.06815Link opens in a new window
• Randomized sequential importance sampling for estimating the number of perfect matchings in bipartite graphs
  P. Diaconis and B. Kolesnik
  Adv. in Appl. Math.Link opens in a new window
  arXiv:1907.02333Link opens in a new window
• Sharp thresholds for contagious sets in random graphs
  O. Angel and B. Kolesnik
  Ann. Appl. Probab.Link opens in a new window
  arXiv:1611.10167Link opens in a new window
• Stability of geodesics in the Brownian map
  O. Angel, B. Kolesnik and G. Miermont
  Ann. Probab.Link opens in a new window
  arXiv:1502.04576Link opens in a new window
• Lower bounds for the isoperimetric numbers of random regular graphs
  B. Kolesnik and N. Wormald
  SIAM J. Discrete Math.Link opens in a new window
  arXiv:1311.6555Link opens in a new window