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Welcome to my presentations page.

Selected presentations

2025
Short-length mesh pattern distributions, Invited presentation, Postgraduate Combinatorial Conference PCC 2025, May 2, 2025

What is a good bijection? A case study on pattern-avoiding permutations, Math Department Colloquium, SUSTech, Shenzhen, China, April 17, 2025

Naturally labelled posets and a hierarchy related to interval orders, Shenzhen International Center for Mathematics Colloquium, Shenzhen, China, April 9, 2025

1-11-representable graphs, workshop "Sequences in London", City, University of London, UK, February 6, 2025
2024
Human-verifiable proofs in the theory of word-representable graphs, The 8th Xi'an International Workshop on Graph Theory and Combinatorics, Xi'an, China, June 30, 2024

Singleton mesh patterns in multidimensional permutations, Invited presentation at Scottish Combinatorics Meeting, University of St Andrews, St Andrews, UK, May 28, 2024

Singleton mesh patterns in multidimensional permutations, Distinguished Colloquium, Harbin Institute of Technology, Harbin, China, May 17, 2024

Differential equations and permutation patterns, Seminar on Combinatorial Theory and Algorithms, Academy of Mathematics and System Science, Chinese Academy of Science (Organizer: Shaoshi Chen), Beijing, China, May 13, 2024

What is a good bijection? A case study on pattern-avoiding permutations, Chern Shing-Shen Class Lecture, School of Mathematical Sciences, Nankai University, Tianjin, China, May 9, 2024

Singleton mesh patterns in multidimensional permutations, Groups and Combinatorics Seminar, University of Western Australia, Perth, Australia, March 1, 2024
2023
Singleton mesh patterns in multidimensional permutations, Shenzhen International Center for Mathematics Colloquium, Shenzhen, China, November 14, 2023

Singleton mesh patterns in multidimensional permutations, Seminar on Combinatorial Theory and Algorithms, Academy of Mathematics and System Science, Chinese Academy of Science (Organizer: Shaoshi Chen), Beijing, China, October 31, 2023

Naturally labelled posets and a hierarchy related to interval orders, Applied Algebra and Optimization Research Center (AORC) Special Invited Talk, Sungkyunkwan University, Korea, June 1, 2023
2022
Some aspects of semi-transitively orientable graphs, Online 2nd School on Graph Theory (3-6 October 2022), University of Johannesburg, South Africa, October 3, 2022

The symbolic method, differential equations and permutation patterns, Invited talk at the virtual workshop on combinatorial species, operads, Riordan arrays and related topics, hosted by the Applied Algebra and Optimization Research Center (AORC), Sungkyunkwan University, Korea, February 23, 2022
2021
Distribution of mesh patterns, 28th British Combinatorial Conference (BCC), July 7, 2021
2020
On partially ordered patterns of length 4 and 5 in permutations, 2020 Permutation Patterns Virtual Workshop, June 30, 2020

On k-11-representable graphs, 2020 Permutation Patterns Virtual Workshop, June 30, 2020

Uniform distribution of resources, Invited talk at Neuroscience and Complex Systems Networking Event, Scottish Universities Insight Institute, Glasgow, UK, March 9, 2020
2019
Computational challenges in the theory of word-representable graphs, Invited lecture at Algorithms and Software for Discrete Computational Mathematics, CoDiMa Workshop 2019, The University of Manchester, May 24, 2019

Equidistributions on planar maps via involutions on description trees, Invited talk at the One-Day Meeting in Combinatorics, Sungkyunkwan University, Korea, April 8, 2019
2018
Encoding graphs by words and patterns, Invited talk at the 2nd IMA Conference on Theoretical and Computational Discrete Mathematics, University of Derby, Derby, UK, September 14, 2018

New directions of research on Riordan graphs and Riordan matrices, Invited talk at the 5th International Conference on Riordan Arrays and Related Topics (5RART), Busan, Korea, June 29, 2018
2017
Introduction to the theory of word-representable graphs, Invited lecture at the One-Day Meeting in Combinatorics, Sungkyunkwan University, Korea, September 13, 2017

A comprehensive introduction to the theory of word-representable graphs, Invited Speaker at the 21st International Conference on Developments in Language Theory (DLT2017), University of Liege, Liege, Belgium, August 7, 2017

Crown graphs and their representation numbers, 26th British Combinatorial Conference, Glasgow, UK, July 3, 2017

Universal partial words, Invited talk at the 2017 AORC Open School on Combinatorial Methods in the Analysis of Algorithm and Data Structures, Sungkyunkwan University, Korea, February 22, 2017
2015
Encoding graphs via pattern-avoiding words, Invited talk at Scottish Combinatorics Meeting, University of Glasgow, Glasgow, UK, April 29, 2015
2014
Word-representable graphs and permutation patterns, Plenary talk at Permutation Patterns Conference 2014, East Tennessee State University, Johnson City, TN, USA, July 8, 2014.
2013
Two involutions on description trees and their applications, Colloquium talk, University of California, San Diego, January 17, 2013

Crucial and bicrucial permutations with respect to arithmetic monotone patterns, Invited talk at the AMS Special Session on Patterns in Permutations and Words, at San Diego AMS-MAA Joint Meetings, San Diego, January 12, 2013
2012
On interval orders and related objects, Colloquium talk, Department of Mathematics, California Polytechnic State University, San Luis Obispo, February 17, 2012

Interval orders and related combinatorial objects, Colloquium talk, University of California, San Diego, February 16, 2012
2011
On graphs representable by words, Pure Maths Colloquium, University of St Andrews, St Andrews, UK, November 24, 2011

On (2+2)-free posets and equinumerous objects, DIMAP Workshop on Combinatorics and Graph Theory, University of Warwick, UK, April 4, 2011
2010
Enumerating (2+2)-free posets by the number of minimal elements and other statistics, Poster at the 22nd International Conference on Formal Power Series & Algebraic Combinatorics, San Francisco State University, San Francisco, USA, August 2-6, 2010

Enumerating (2+2)-free posets by the number of minimal elements and other statistics, Invited talk at the AMS Special Session on Enumerative Combinatorics at San Francisco AMS-MAA Joint Meetings, San Francisco, January 15, 2010
2009
Crucial words for abelian powers, 13th International Conference on Developments in Language Theory (DLT 09), Universitat Stuttgart, Germany, July 2, 2009

(2+2)-free posets, ascent sequences, regular linearized chord diagrams, and pattern avoiding permutations, Special Discrete Mathematics Seminar, University of California, Berkeley, March 18, 2009

Restricted permutations and beta(1,0)-trees, Combinatorics Seminar, California Institute of Technology, Pasadena, February 5, 2009
2008
Counting ordered patterns in words generated by morphisms, 2nd International Conference on Language and Automata Theory and Applications (LATA 2008), Tarragona, Spain, March 18, 2008
2007
Generalized pattern avoidance, beta(1,0)-trees, and two-stack sortable permutations, Permutation Patterns Conference 2007, University of St Andrews, St Andrews, Scotland, UK, June 12, 2007
2006
Universal cycles and combinatorial objects, Colloquium Lecture, University of Kentucky, Lexington, November 9, 2006

Classifying descents according to equivalence mod k, Permutation Patterns Conference 2006, Reykjavik University, Reykjavik, Iceland, June 12, 2006

An introduction to permutation patterns, The second ICE-TCS Symposium, University of Iceland, Reykjavik, Iceland, May 31, 2006
2004
Independent sets on path-schemes, Conference on Discrete Analysis and Operations Research (DAOR'2004), Sobolev Institute of Mathematics, Novosibirsk, Russia, July 1, 2004

Numerical characteristics of unavoidable sets, The Combinatorics Seminar at California Institute of Technology, Pasadena, March 4, 2004

The Dragon curve, the Peano curve, and combinatorics on words, PIC Special Research Seminar at University of California, Los Angeles, March 3, 2004

On a common feature in certain sequences, The Combinatorics Seminar, University of Illinois at Urbana-Champaign, Urbana, February 24, 2004

On some famous sequences, The Combinatorics Seminar at Massachusetts Institute of Technology, Cambridge, February 20, 2004

Non-overlapping patterns in permutations, The Combinatorics Seminar, University of Pennsylvania, Philadelphia, February 19, 2004
2002
Partially Ordered Generalized Patterns, Poster at the 14th International Conference on Formal Power Series & Algebraic Combinatorics (FPSAC'02) at University of Melbourne, Melbourne, Australia, July 8-12, 2002

Simultaneous Avoidance of Generalized Patterns, Workshop "Algebraic Combinatorics" at Royal Institute of Technology, Stockholm, Sweden, May 21-22, 2002

Multi-Avoidance of Generalized Patterns, The 48th Seminaire Lotharingien de Combinatoire at Domaine Saint-Jacques, France, 2002
2000
On non-existence of an iterative morphism which defines an Arshon sequence, Swedish-Russian conference "Combinatorics, Dynamics, Probabilities" at Royal Institute of Technology, Stockholm, Sweden, October 3-7, 2000