Brett Kolesnik
University of Warwick
Department of Statistics
Email: brett.kolesnik@warwick.ac.uk
Research: Probability theory. Random structures, geometry, algorithms, processes, etc. Interactions with combinatorics.
Teaching (2024–25):
- Term 1:
ST323/412 Multivariate Statistics
ST921 Statistical Frontiers - Term 2:
ST924 Random Graphs
Office: Zeeman B0.17
CV: PhD Mathematics, University of British Columbia, advised by Omer Angel in the UBC Probability Group. 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 Applications at the Banff International Research Station (BIRS) together with József Balogh, Janko Gravner, Karen Gunderson and Rob Morris.
Coauthors:
Daniel Ahlberg, David Aldous, Omer Angel, Eleanor Archer, Zsolt Bartha, Michal Bassan, Matthew Buckland, Serte Donderwinkel, Persi Diaconis, Janko Gravner, Ivailo Hartarsky, Emmanuel Jacob, Gal Kronenberg, Grégory Miermont, Rivka Mitchell, Sam Olesker-Taylor, Tomasz Przybyłowski, Mario Sanchez, Bruno Schapira, Daniel Valesin, Nick Wormald
Papers:
The snake in the Brownian map
w/ Omer Angel, Emmanuel Jacob and Grégory Miermont
arXiv:2502:13074
Tournament score sequences, Erdős–Ginzburg–Ziv numbers, and the Lévy–Khintchine method
w/ Michal Bassan and Serte Donderwinkel
arXiv:2407.01411
Graphical sequences and plane trees
w/ Michal Bassan and Serte Donderwinkel
arXiv: 2406.05110
Catalan percolation
w/ Eleanor Archer, Ivailo Hartarsky, Sam Olesker-Taylor, Bruno Schapira and Daniel Valesin
arXiv:2404.19583
Critical beta-splitting, via contraction
Electronic Communications in Probability
arXiv:2404.16021
Sinai excursions
w/ Serte Donderwinkel
arXiv:2403.12941
Tournaments and random walks
w/ Serte Donderwinkel
arXiv:2403.12940
Random walks on Coxeter interchange graphs
w/ Matthew Buckland, Rivka Mitchell and Tomasz Przybyłowski
Electronic Journal of Probability
arXiv:2401.17210
Coxeter interchange graphs
w/ Rivka Mitchell and Tomasz Przybyłowski
arXiv:2312.04532
Annihilating branching Brownian motion
w/ Daniel Ahlberg and Omer Angel
International Mathematics Research Notices
arXiv:2312.03669
H-percolation with a random H
w/ Zsolt Bartha and Gal Kronenberg
Electronic Communications in Probability
arXiv:2312.03633
Coxeter tournaments
w/ Mario Sanchez
arXiv:2302.14002
The asymptotic number of score sequences
Combinatorica
arXiv:2209.13563
Large deviations of the greedy independent set algorithm on sparse random graphs
Random Structures & Algorithms
arXiv:2011.04613
The geometry of random tournaments
w/ Mario Sanchez
Discrete & Computational Geometry
arXiv:2009.09322
Weakly saturated random graphs
w/ Zsolt Bartha
Random Structures & Algorithms
arXiv:2007.14716
Transitive closure in a polluted environment
w/ Janko Gravner
Annals of Applied Probability
arXiv:1910.01800
Randomized sequential importance sampling for estimating the number of perfect matchings in bipartite graphs
w/ Persi Diaconis
Advances in Applied Mathematics
arXiv:1907.02333
To stay discovered: On tournament mean score sequences and the Bradley–Terry model
w/ David Aldous
Stochastic Processes and their Applications
Special Issue: In Memoriam: Larry Shepp
arXiv:1811.06662
The sharp K4-percolation threshold on the Erdős–Rényi random graph
Electronic Journal of Probability
arXiv:1705.08882
Large deviations for subcritical bootstrap percolation on the Erdős–Renyi graph
w/ Omer Angel
Journal of Statistical Physics
arXiv:1705.06815
Sharp thresholds for contagious sets in random graphs
w/ Omer Angel
Annals of Applied Probability
arXiv:1611.10167
Stability of geodesics in the Brownian map
w/ Omer Angel and Grégory Miermont
Annals of Probability
arXiv:1502.04576
Lower bounds for the isoperimetric numbers of random regular graphs
w/ Nick Wormald
SIAM Journal on Discrete Mathematics
arXiv:1311.6555