Personal webpage of Nicholas Beaton

Talks

Here's a small (and not entirely disjoint) selection of talks I've given over the years.

Self-avoiding walks pulled at an angle from a surface
ANZAMP Conference 2026
Gerringong, NSW
10 - 12 February 2026
PDF File

Lattice models of theta-shaped polymers
Polymer Modelling and DNA Topology: The Interplay between Theory, Computation and Experiments
Banff International Research Station, Banff, AB, Canada
10 - 14 November 2025
Slides

Entanglement statistics of polymers in a lattice tube and unknotting of 4-plats
Monash Topology Seminar
Monash University, VIC
8 October 2025
PDF File

Chemical distance for the half-orthant model
Stochastic Processes Seminar
School of Mathematics and Statistics, University of Melbourne, VIC
18 September 2024
PDF File

Lattice models of theta-shaped polymers and other branching structures
Monte Carlo Algorithms in Statistical Mechanics
MATRIX, Creswick VIC
26 June - 7 July 2023
Slides

A solvable model of weighted SAWs in a box
ANZAMP Conference 2023
Hobart, TAS
7 - 9 February 2023
PDF File

Physical Knots
"Highlights in Mathematical Physics" Seminar Series
School of Mathematics and Statistics, University of Melbourne, VIC
7 October 2022
PDF File

The 100 Prisoners Problem
MUMS School Olympics
School of Mathematics and Statistics, University of Melbourne, VIC
21 August 2022
PDF File

The powered Catalan numbers
A Tour of Combinatorics and Statistical Mechanics, in Memory of Richard Brak
School of Mathematics and Statistics, University of Melbourne, VIC, Australia
7 February 2022
PDF File

Life on the lattice: self-avoiding walks, polygons, animals, and more
"Highlights in Mathematical Physics" Seminar Series
School of Mathematics and Statistics, University of Melbourne, VIC
2 September 2021
Slides

Walks obeying two-step rules on the square lattice: full, half and quarter planes
"Transcendance et Combinatoire" Seminar Series (online)
Université de Versailles-St Quentin, Versailles, France
8 January 2021
PDF File

Semi-flexible directed polymers in a strip with attractive walls
AustMS Conference 2019
Monash University, Melbourne, Australia
3 - 6 December 2019
PDF File

Alignment percolation
Mathematical Physics Seminar Series
School of Mathematics and Statistics, University of Melbourne, VIC, Australia
29 October 2019
PDF File

Knotting statistics for polygons in lattice tubes
The Topology of Nucleic Acids: Research at the Interface of Low-Dimensional Topology, Polymer Physics and Molecular Biology
Banff International Research Station, Banff, AB, Canada
24 - 29 March 2019
PDF File

Powered Catalan numbers
Effective Visualisation in the Mathematical Sciences (EVIMS3)
University of Newcastle, Newcastle, Australia
13 November 2018
PDF File

Pattern-avoiding permutations: enumeration, asymptotics and generating functions
Colorado State University, Fort Collins, Colorado, USA
27 June 2018
PDF File

Catalan, Schröder, Baxter, and other sequences
Discrete Structures and Algorithms Seminar
School of Mathematics and Statistics, University of Melbourne, VIC, Australia
29 March 2018
PDF File

Partition function zeros of adsorbing walk models
ANZAMP Conference 2018
Auckland, New Zealand
30 January - 1 February 2018
PDF File

Statistical mechanics of forced and adsorbing directed polymers
Monash Workshop on Self-interacting Processes
Monash University, Melbourne, Australia
29 - 31 August 2017
PDF File

Knot probabilities and pattern theorems for polygons in tubes
Knots and Polymers: Aspects of topological entanglement in DNA, proteins and graph-shaped polymers
Ochanomizu University, Tokyo, Japan
8 - 10 August 2017
PDF File

Compressed random and self-avoiding walks
11th Prairie Discrete Mathematics Workshop
Banff International Research Station, Banff, AB, Canada
7 - 9 August 2015
PDF File

Solvable self-avoiding walk and polygon models with large growth rates
5th Biennial Canadiam Discrete and Algorithmic Mathematics Conference (CanaDAM)
University of Saskatchewan, Saskatoon, SK, Canada
1 - 4 June 2015
PDF File

Models of pulled and compressed polymers
Workshop on Combinatorial Applications to Biology, Chemistry and Physics
University of Saskatchewan, Saskatoon, SK, Canada
21 - 22 June 2014
PDF File

Solvable models of self-avoiding walks
Université de Genève, Geneva, Switzerland
30 September 2013
PDF File

Polymer adsorption on the honeycomb lattice
36th Conference on Stochastic Processes and their Applications
University of Colorado, Boulder, CO, United States
29 July - 2 August 2013
PDF File