## Slides of some talks
2013 | 2014 | 2015
| 2016 |

This page contains only the screen versions of talks. Instructions at the foot of the page explain how to create a printer version if you want one.

- The ADE affair, International Conference on Contemporary Research in Mathematics (ICCRM), Coimbatore, Tamil Nadu, India, 27 February 2023
- Regular polytopes of high rank for symmetric groups, St Andrews Pure Mathematics Colloquium, 9 February 2023: slides
- What can graphs and algebraic structures say to each other? International Conference on Recent Advances in Graph Theory and Allied Areas, Thrissur, Kerala, India, 4 February 2023: slides
- Finding the jewel in the lotus, CIRCA lunchtime talk, 26 January 2023: notes

- Graphs defined on groups, Indian Mathematical Society session on Graphs related to Algebraic and Ordered Structures, Ranchi, Jharkhand, India, 27-30 December 2022; my talk 29 December, 10:30: slides
- Graphs defined on groups, International Conference on Combinatorics, Cryptography, Computer Science and Computation, IUST, Tehran, Iran, 16 November 2022: slides
- The ADE affair, seminar, UBI, Covilhã, Portugal, 17 October 2022: slides
- Graphs on groups, York algebra seminar, 30 September 2022: slides
- Resistance distance and resistance distance transform, CCGTA, Deerfield Beach, FL, USA, 15 August 2022: slides
- Graphs defined on groups, GEARS, Edinburgh, 9 August 2022:
- First lecture: The big picture
- Second lecture: Some details

- Fifty years around Jan: Some history and some mathematics, Talk at Saxl Day, 22 July 2022: slides
- Finding geometries in the power graphs of simple groups, talk at BCC, Lancaster, 12 July 2022: slides
- Graphs on groups, Postgraduate Group Theory Conference, London, 8 July 2022: slides
- Classes of groups defined by graphs, talk at Florence Group Theory conference, 1 July 2022: slides
- Synchronization: from automata to weakly perfect graphs, talk at AlCoVE (Algebraic Combinatorics Virtual Exploration), 06 June 2022: slides
- Graphs on groups and their relations, talk at ICADM, Pune, 27 May 2022: slides
- Conjugacy class graphs on groups, St Andrews Combinatorics Day, 24 May 2022: slides
- Complete mappings of finite semigroups, AMS spring meeting, Denver, 14 May 2022: slides
- Networks, random walks and statistical optimality, talk at CUTN, 25 April 2022: slides
- A bridge between algebra and combinatorics, Peter Neumann memorial meeting, Oxford, 9 April 2022: slides
- Super graphs on groups, 6AGT, Novosibirsk, 24 March 2022: screen version
- Southeastern Conference on Combinatorics, Graph Theory and Computing, Boca Raton, 9 and 10 March 2022:
- Running a research discussion in south India, SUMS lunchtime talk, 17 February 2022: slides

- Graphs defined on groups, Algebraic Graph Theory International Webinar, 7 December 2021: slides
- Generalisations of EPPO groups using graphs, Ural Seminar on Group Theory and Combinatorics, 23 November 2021: slides
- Generalisations of EPPO groups using graphs, St Andrews Algebra and Combinatorics Seminar, 10 November 2021: slides
- Synchronizing automata, de Bruijn graphs, and applications, Advances in Mathematics towards Industrial Applications, Chennai, India, 29 October 2021: slides
- A hierarchy of graphs defined on groups (Combinatorics Today series), Bandung, Indonesia, 22 October 2021
- International Conference on Discrete Mathematics, Tirunelveli, India,
7 and 12 October 2021:
- Conference talk, The geometry of diagonal groups
- Workshop talk, A hierarchy of graphs defined on groups

- Johannesburg Graph Theory School, 4 October 2021:
- The geometry of diagonal groups, seminar at KTH, Stockholm, 22 September 2021
- Progress resulting from RDGG, Research discussion on graphs and groups, CUSAT, Kochi, India, 11 August 2021: slides
- Synchronization and semigroups, graphs and groups, G2S2, Sochi, Russia, 9 August 2021: slides
- Conversations between graphs and groups, ENSPM80, Lisbon, 14 July 2021: slides, video
- The diagonal semilattice and the diagonal graph, minisymposium at BCC, Durham, 6 July 2021: slides
- Graphs defined on groups, Intensive Course at LTCC, 8-9 June 2021:
- Lecture 1, Some of the players: slides
- Lecture 2, The hierarchy: slides
- Lecture 3, Cographs and twin reduction: slides
- Lecture 4, The Gruenberg–Kegel graph: slides
- Lecture 5, Connectedness: slides
- Lecture 6, Universality: slides
- Lecture 7, Onward and upward: slides
- Lecture 8, Other worlds: slides
- Notes from the course

- Graphs defined on groups, London Combinatorics Colloquia, 12 May 2021: slides
- Graphs defined on groups, Research discussion on graphs and groups, CUSAT, Kochi, India, 24 and 25 March 2021: slides
- The geometry of diagonal groups, UEA Pure Mathematics Seminar, 22 March 2021
- The Gruenberg–Kegel graph and graphs defined on groups, 4th workshop on Algebraic Graph Theory and Applications, Novosibirsk, 4 March 2021: slides
- Integrals of groups, 13th Iranian International Conference on Group Theory, Urmia, 28 January 2021: slides

- From automata to permutation groups, ICNTDM, Kochi, India, 12 December 2020: slides
- Graphs on groups: old and new connections, Ural Seminar on Group Theory and Combinatorics, Yekaterinburg, 8 December 2020: slides
- Diagonal graphs and the Hall–Paige conjecture, Shanghai Jiao Tong University Combinatorics Seminar, 2 December 2020
- Graphs defined on groups, International Conference on Algebraic Graph Theory and Applications, Presidency University, Kolkata, India, 22 November 2020: slides
- The geometry of diagonal groups, St Andrews Pure Mathematics colloquium, 12 November 2020 (with R. A. Bailey)
- Graphs defined on groups, 3rd Workshop on Algebraic Graph Theory and its Applications, Novosibirsk, Russia, 7 November 2020
- The geometry of diagonal groups, Glasgow algebra seminar, 28 October 2020
- Graphs defined on groups, St Andrews algebra seminar, 21 October 2020: slides
- The geometry of diagonal groups, Bristol algebra seminar (virtual), 7 October 2020
- From de Bruijn graphs to automorphisms of the shift, Ural Workshop on Group Theory and Combinatorics (virtual), 28 August 2020: slides
- Lockdown theorem, MCW, Prague, 3 August 2020
- The geometry of diagonal groups, UWA Groups and Combinatorics seminar (virtual), 22 May 2020: slides
- Synchronization, diagonal structures, and the Hall--Paige conjecture, Rocky Mountain Algebraic Combinatorics Seminar (virtual), 24 April 2020: slides
- Synchronization, Università di Firenze, 12 February 2020: slides
- Finite permutation groups: applications to transformation semigroups and synchronization, Isaac Newton Institute, Cambridge, 10 January 2020: slides
- Finite permutation groups: the landscape post-CFSG, Isaac Newton Institute, Cambridge, 9 January 2020: slides

- Diagonal groups, synchronization, and association schemes, London Algebra Colloquium, Imperial College, 28 November 2019: slides
- Growth rates and orbit algebras for oligomorphic permutation groups, Logic seminar, Imperial College, 27 November 2019: slides
- Growth rates for oligomorphic groups, A&C seminar, 9 October 2019: slides
- AS-free permutation groups, CIRCA seminar, 26 September 2019
- Short course on Laplacian eigenvalues and optimality (with R. A.
Bailey), G2D2, Yichang, China, 13-17 August 2019:
- Lecture 1: Block designs
- Lecture 2: The Laplacian of a graph
- Lecture 3: Designs, graphs amd optimality
- Lecture 4: Further topics

- Four precious jewels, short course at Zhejiang University, Hangzhou,
China, 6-7 August 2019:
- Lecture 1: The random graph
- Lecture 2: The rational numbers
- Lecture 3: The Urysohn space
- Lecture 4: The pseudo-arc

- Hall–Paige and synchronization, British Combinatorial Conference, Birmingham, 30 July 2019: slides
- Problems around groups and semigroups, LMS Undergraduate Summer School, Leeds, 23 July 2019: slides
- The random graph, LMS Undergraduate Summer School, Leeds, 25 July 2019: slides
- Latin squares, Sutton Trust summer school, St Andrews, 3 July 2019: slides
- Diagonal association schemes, St Andrews Algebra/Combinatorics seminar, 15 May 2019
- Four precious jewels, Virtual Combinatorics Colloquium, Northeast Combinatorics Network, 25 April 2019: slides
- The random graph, Mathematical Sciences Colloquium, Worcester Polytechnic Institute, Worcester, MA, 29 March 2019
- Synchronization, MIT Combinatorics Seminar, Cambridge, MA, 20 March 2019: slides
- The ADE affair, SUMS lunchtime talk, St Andrews, 18 February 2019
- The Hall–Paige conjecture and an application, St Andrews Algebra and Combinatorics Seminar, 30 January 2019: slides
- The Hall–Paige conjecture, St Andrews Research Day, 24 January 2019

- Synchronization update, CMS Winter Meeting (special session for Robert Woodrow), Vancouver, Canada, 7 December 2018: slides
- Permutation groups and regular semigroups, Queen Mary Algebra Seminar, London, 3 December 2018
- Trees, cycles and chocolate bars, Queen Mary Combinatorics Study Group, London, 30 November 2018
- Equitable partitions of Latin square graphs, Old Codgers Combinatorics Meeting, Reading, 7 November 2018
- The ADE affair, lecture to students, SUSTech, Shenzhen, China, 15 October 2018
- Integrals of groups, Group Actions and Transitive Graphs, Shenzhen, China, 12 October 2018: slides
- The existential transversal property, Combinatorics seminar, Shanghai Jiao Tong University, 8 October 2018
- Synchronization and separation in the Johnson scheme, Combinatorics seminar, Shanghai Jiao Tong University, 4 October 2018
- Oligomorphic groups and their orbit algebras, From Permutation Groups to Model Theory, Edinburgh, 17-21 September 2018: slides
- Graphs, groups and semigroups, 8th Cracow Graph Theory Conference, Rytro, Poland, 10-14 September 2017: slides
- Group theory problems from semigroups and automata, Groups, Geometry and Representations, Oxford, 3-7 September 2018: slides
- Jordan schemes: relaxing associativity, keeping symmetry, Linstat, Będlewo, Poland, 20-24 August 2018: slides
- Association schemes, graph homomorphisms, and synchronization, Symmetry vs Regularity, Pilsen, 2-6 July 2018: slides
- Equitable partitions of Latin square graphs, Scottish Combinatorics Meeting, 27 April 2018: slides
- Inverse group theory, CIRCA lunch, 12 April 2018: slides
- The ADE affair, CEMAT Algebra Seminar, Lisbon, 23 March 2018
- The commutative law, Venn Lecture, University of Hull, 8 March 2018: slides
- Reed-Muller codes and Thomas' conjecture, Alg and Comb seminar, St Andrews, 7 February 2018: notes
- Equitable partitions of Latin square graphs, Research Day, St Andrews, 23 January 2018: slides
- The ADE affair, PhD seminar, Central European University, Budapest, 17 January 2018
- Permutation groups in semigroup theory, Rényi Institute, Budapest, 15 January 2018
- Equitable partitions of Latin square graphs, QMUL Combinatorics Study Group, 12 January 2018: notes /
- Synchronization and separation in the Johnson schemes, Bannai–Ito Theory workshop, Hangzhou, 23–26 November 2017: slides
- De Bruijn graphs and their foldings, Shanghai Jiao Tong University, November 2017: slides
- Applications of permutation groups to transformation semigroups, short
course at Shanghai Jiao Tong University, November 2017:
- Lecture 1: Introduction
- Lecture 2: Synchronization
- Lecture 3: Regularity
- Lecture 4: Idempotent generation

- Reciprocal polynomials, CIRCA lunch, 12 October 2017: notes
- Permutation groups: introduction and applications to semigroups,
Marienheide, 18-22 September 2017:
- Lecture 1: Permutation groups and group actions
- Lecture 2: Semigroups
- Lecture 3: Synchronization
- Lecture 4: Regularity
- Lecture 5: Idempotent generation

- Perchance to dream …, All kinds of mathematics remind me of you, Lisbon, 24-28 July 2017: slides
- Synchronization, association schemes and Steiner systems, British Combinatorial Conference, Strathclyde, 3-7 July 2017: slides
- Eigenvalues and root systems in finite geometries, Finite Geometry summer school, Brighton, 26-27 June 2017: notes
- Sum-free sets, Topological dynamics, functional equations, infinite combinatorics and probability, London, 12-14 June 2017: slides
- Regular semigroups and the existential transversal property, Groups, Generalisations and Applications, St Andrews, 4 May 2017: notes
- Sum-free sets, Additive Combinatorics reading group, 19 April 2017: notes
- Cap-sets, Additive Combinatorics reading group, 12 April 2017
- Permutation groups and transformation semigroups (PhD course), Vienna, 20-24 March 2017: notes
- The ADE affair, informal colloquium, University of Vienna, 22 March 2017: slides
- The random graph, departmental colloquium, University of Vienna, 22 March 2017: slides
- Combining the cycle index and the Tutte polynomial? Combinatorics seminar, Technical University Vienna, 21 March 2017: slides
- Derangements, CIRCA lunchtime talk, 26 January 2017: slides
- Mathematics with and without CFSG, Prospects in Mathematics, York, 17 December 2016
- Some of my favourite problems, Old Codgers Combinatorics Meeting, Reading, 2 November 2016: slides
- Power graph, commuting graph, and all that, MUSIC (Monash-UWA Symposium in Combinatorics), University of Western Australia, 28 September 2016: slides
- Idempotent generation and road closures, Algebra/Combinatorics seminar, University of Western Australia, 23 September 2016: slides
- The random graph and its friends, departmental colloquium, University of Western Australia, 15 September 2016
- Mathematics with and without CFSG, Young Researchers in Mathematics, St Andrews, 1 August 2016: slides
- Cryptography: How safe are your secrets? International Science Summer School, St Andrews, 12 July 2016
- Combinatorial problems from synchronization theory, 3rd Istanbul Design Theory, Graph Theory and Combinatorics Workshop, Istabul, 13 June 2016
- Secret codes, How the Light Gets In, Hay-on-Wye, 3 June 2016:
- Road colouring and road closures: synchronization and idempotent generation, Groups & their Applications, Bristol, 1 June 2016: slides
- Combinatorics of transformation semigroups and synchronization, New Directions in Combinatorics, Singapore, 23 May 2016: slides
- Synchronization, graph endomorphisms and permutation groups, Theoretical and computational discrete mathematics, Derby, 22 March 2016
- Idempotent generation and road closures, CIRCA/Algebra seminar, St Andrews, 9 March 2016: slides
- Summary, Discrete Mathematics and Big Data symposium, St Andrews, 17 February 2016: slides
- Trees, cycles and chocolate bars, St Andrews research day, 11 January 2016: summary
- Beyond matroids? Permutation group bases and boolean representable complexes, Conference in honour of Geoff Whittle, Wellington, 14-16 December 2015: slides
- Four precious jewels, 39th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, University of Queensland, 7 December 2015: slides
- The amazing random graph, talk to QM Mathsoc, 19 November 2015
- From school mathematics to mathematics, seminar at University of Hertfordshire, 18 November 2015
- Synchronizing groups, CEMAT Universidade de Lisboa, 11 November 2015
- Paradox, Colegio Planalto, Lisboa, 11 November 2015
- Regular polytopes with symmetric and alternating groups, CEMAT seminar, Universidade de Lisboa, 23 Octber 2015: slides
- The random graph, seminar at Universidade de Aveiro, 14 October 2015
- Donald at Queen Mary: climbing walls and PLRs, Donald Preece memorial day, Queen Mary, University of London, 17 September 2015: slides
- Numerical and graphical invariants of finite groups, Asymptotic group theory, Budapest, 17-21 August 2015: slides
- Tutte polynomial and orbit-counting, New directions for the Tutte polynomial, Royal Holloway, University of London, 11 July 2015: slides
- Remembering Donald Preece, 25th British Combinatorial Conference, University of Warwick, 6 July 2015: slides
- Permutation patterns as ages of relational structures, Permutation Patterns, De Morgan House, London, 18 June 2015: slides
- Synchronization, endomorphisms and butterflies, Scottish Combinatorics Conference, University of Glasgow, 30 April 2015
- Finding where you are: automata, graph endomorphisms and foldings, NBSAN, St Andrews, 23 April 2015: slides
- Breaking boundaries between topology, geometry and analysis, University of Sussex, 15-16 April 2015:
- Orbital combinatorics, Postgraduate Combinatorics Conference, Queen Mary, University of London, 14 April 2015: slides
- Chains of subsemigroups, Algebra seminar, University of Aberdeen, 26 February 2015: slides
- Synchronization, Pure Maths colloquium, University of Edinburgh, 10 February 2015
- Synchronization and butterflies, talk at CIRCA lunch, 5 February, 2015
- Automorphic loops, St Andrews Research Day, 20 January 2015
- Synchronization and endomorphisms, Workshop on Algebraic and Model-Theoretic Methods in Constraint Satisfaction, BIRS, Banff: Synchronization, 24 November 2014 (slides, video), Graphs and transformation monoids, 25 November 2014 (slides, video), The almost synchronizing conjecture, 26 November 2014 (slides, video)
- Regular polytopes, Algebra and Combinatorics Seminar, St Andrews, 19 November 2014
- Acyclic orientations and poly-Bernoulli numbers, Bristol Combinatorics Seminar, 6 November 2014
- Regular polytopes, Old Codgers Combinatorics Meeting, Reading, 5 November 2014: slides
- Regular polytopes, QM Combinatorics Study Group, 4 November 2014
- Hadamard matrices, Maths Study Group, South Bank University, 8 October 2014: slides
- Paradox, Queen Mary Math Soc, 7 October 2014
- The random graph, Department of Mathematics Colloquium, Auckland, 18 September 2014
- Acyclic orientations, Algebra and Combinatorics Seminar, Auckland, 27 August 2014
- Automorphisms of hypergraphs and switching classes, MCW, Prague, 28 July 2014: extended abstract
- Talks at Workshop on Computational Algebra, July 2014: Lists of exceptions, 21 July 2014 (slides), Testing synchronization, 23 July 2014 (slides)
- The random graph, Colloquium at Coimbra, 17 July 2014 (no slides)
- The random graph, Portuguese Mathematical Society, Caparica, 14 July 2014: slides
- Endomorphisms and synchronization, Godsil 65, Waterloo, 25 June 2014: slides
- Measuring triangle-free graphs, Vershik 80, St Petersburg, 14 June 2014: slides
- Two-graphs revisited, Villanova conference, 2 June 2014: slides
- The infinite quest, How the Light Gets In, Hay-on-Wye, 30 May 2014 (videos here):
- Paradox lost, How the Light Gets In, Hay-on-Wye, 29 May 2014: slides
- Parties, permutations and diagrams, Flanders Mathematical Olympiad prizegiving, 21 May 2014: slides
- The random graph, colloquium talk at KU Leuven, 20 May 2014: no slides
- Combinatorial problems from transformation semigroups (the Norman Biggs Lecture), Combinatorics Colloquium, LSE, 15 May 2014: slides
- Permutation groups and transformation semigroups, Bristol Algebra Day, 22 April 2014 (no slides)
- Synchronization, Seminar at Leeds, 2 April 2014 (no slides)
- Entropy, partitions, groups and association schemes, 1, CIRCA/Algebra seminar, St Andrews, 26 February 2014: slides
- The random graph, St Andrews Mathematics Society, 5 February 2014 (no slides)
- Poly-Bernoulli numbers and acyclic orientations, CIRCA/Algebra seminar, St Andrews, 29 January 2014 (no slides)
- Acyclic orientations, Graphs and Probability workshop, Eindhoven, 6 January 2014: slides
- Combinatorial Yang-Baxter, Workshop on Combinatorial Physics, Cardiff, 16 December 2013: slides
- Acyclic orientations and poly-Bernoulli numbers, QM CSG, 13 December 2013: notes
- The random graph and its relations, Oxford Invariants, 26 November 2013 (no slides)
- Combinatorial Yang-Baxter, QM CSG, 25 October 2013 (no slides)
- Primitivity and rigidity, QM PMC, 7 October 2013 (no slides)
- A graph partition problem, QM CSG, 4 October 2013 (no slides)
- Homogeneous Cayley objects, Algebra, Combinatorics, Dynamics and Applications (Belfast 2013): slides
- Permutation groups and transformation semigroups, Groups St Andrews 2013, 3-10 August 2013: slides
- Primitivity (Combinatorics, Algebra and More, 8 July 2013): slides
- Synchronization, graph homomorphisms, and combinatorics, 24th British Combinatorial Conference, 2 July 2013: slides
- Permutation groups and transformation semigroups, Novi Sad Algebraic Conference, 5 June 2013: slides
- Mathematics: The next generation, LMS-Gresham lecture, Museum of London LT, 14 May 2013: slides, video of the lecture
- Derangements, Pure Mathematics Colloquium, 18 April 2013: slides
- 44th Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton, FL, USA, 8 March 2013
- Algorithmic aspects of synchronization, Queen Mary Algorithms Day, 20 February 2013: slides

The "screen versions" are either the Beamer slides of the talks or versions
made with the `handout` option to Beamer, which simply ignores pauses
and produces one page per frame. My default Beamer font is Palatino, using the
`mathpazo` package.

The "print versions" are produced as follows. If the output from the screen
version is called `x1.pdf`, then run `pdflatex` on the following
input file:

\documentclass[a4paper]{article} \usepackage{pdfpages} \begin{document} \includepdf[pages=1,landscape=false,frame=false,noautoscale=false]{x1.pdf} \includepdf[pages=2-last,nup=2x3,landscape=false,frame=true, noautoscale=true,scale=0.7,delta=0mm 5mm]{x1.pdf} \end{document}This puts the first slide on the front page and the others 3 rows and 2 columns per page.

Note that the filename occurs twice!

If you don't have a handout version of the slides, note the numbers of the last slide of each frame and put the list of these numbers in place of 2-last.

Peter J. Cameron

4 February 2023