## Talks

*“Pure mathematics is, in its way, the poetry of logical ideas.”*

– Albert Einstein

#### 2024

- 10 September:
** Is a finite group ever the union of conjugates of two equal-sized proper subgroups? **

Topics in Group Theory, University of Padua
- 09 July:
** Generating sets of groups **

Colloquium, University of Birmingham
- 17 June:
** How big can a minimal generating set be? **

British Mathematical Colloquium, University of Manchester (slides)

#### 2023

- 15 December:
** How big can a minimal generating set be? **

Functor Categories for Groups, University of Lincoln
- 12 October:
** Bases and generating sets for finite groups **

Algebra and Combinatorics Seminar, University of St Andrews
- 12 September:
** Generating sets for finite groups **

ARTIN 61 & GEARS Summer Meeting, University of Glasgow
- 21 June:
** Bases and generating sets for finite groups **

CMI-HIMR Summmer School: Probabilistic Group Theory, University of Bristol
- 16 June:
** Generating sets for infinite simple groups **

North British Geometric Group Theory, University of St Andrews
- 29 March:
** How big can a minimal generating set be? **

New Perspectives in Pure Mathematics, University of Bristol (slides)
- 16 January:
** Invariable generation & totally deranged elements of simple groups **

Algebra Seminar, University of Warwick

#### 2022

- 01 December:
** Generating sets for Thompson groups **

School Research Day, University of St Andrews (slides)
- 13 October:
** Derangements, invariable generation and simple groups **

Pure Mathematics Colloquium, University of St Andrews
- 09 September:
** The generating graph: spread and domination **

Young Group Theorists Workshop, SwissMAP Research Station, Switzerland
- 31 July:
** Generating finite and infinite simple groups **

Groups St Andrews, University of Newcastle (slides)
- 29 July:
** Invariable generation & totally deranged elements of simple groups **

Simple groups, representations and applications, Isaac Newton Institute, Cambridge (video**|**slides)
- 01 July:
** Invariable generation and a question of Garzoni **

Group Theory in Florence, University of Florence
- 14 June:
** Invariable generation & totally deranged elements of simple groups **

Algebra Seminar, University of Oxford

*To view the entries from before 2022 click on the relevant year.*

#### 2021

- 03 December:
** A few of my favourite proofs **

Junior Algebra Colloquium, University of Bristol
- 09 November:
** Base size & distinguishing number for graphs & groups **

Combinatorics Seminar, University of Bristol
- 20 August:
** Spread, Subgroups & Shintani Descent **

TDLC Groups via Group Actions, Banff International Research Station (video**|**slides)
- 12 August:
** Spread: Thompson groups & finite groups **

Generation of Thompson Groups, University of Bristol
- 30 June:
** Generating graphs: spread and domination **

Graphs and Groups, Cochin University of Science and Technology
- 25 May:
** The spread of a finite group **

Algebra Seminar, TU Kaiserslautern & University of Wuppertal
- 23 April:
** The finite simple groups **

Junior Algebra Colloquium, University of Bristol
- 03 March:
** Classifying Isolated Symmetries **

STEM for Britain, Parliamentary Scientific Committee (video**|**poster)

#### 2020

- 18 December:
** Why Euler was wrong **

Junior Algebra Colloquium, University of Bristol
- 05 November:
** The spread of a finite group **

Algebra Seminar, University of Milano-Bicocca
- 05 October:
** The spread of a finite group **

Algebra Seminar, University of Manchester
- 01 May:
** Generation, the symmetric group and Thompson's group V **

Groups and Combinatorics Seminar, University of Western Australia
- 13 February:
** 3/2-Generation **

Isaac Newton Institute, Cambridge (video)
- 30 January:
** Symmetry Breaking **

Junior Algebra Colloquium, University of Bristol

#### 2019

- 21 November:
** 3/2-Generated Groups **

Algebra Seminar, University of Warwick -
- 7 November:
** 3/2-Generated Groups **

Pure Mathematics Colloquium, University of St Andrews (slides)
- 8 October:
** Generation and Thompson's Group V **

Junior Algebra Colloquium, University of Bristol
- 25 June:
** Uniform Domination in Simple Groups **

Algebra Seminar: University of Padua, Italy
- 15 May:
** Uniform Domination in Simple Groups **

Algebra Seminar, University of Florence, Italy
- 11 May:
** Spread and Uniform Domination of Finite Groups **

Groups in Galway, National University of Ireland, Galway, Ireland (slides)
- 17 April:
** Generation through the Generations **

British Young Mathematicians Colloquium, University of Birmingham

#### 2018

- 2 November:
** What is a group? **

Postgraduate Seminar, University of Bristol (slides)
- 20 September:
** The Distinguishing Number of Semiprimitive Groups **

Symmetry Breaking in Discrete Structures, BIRS Casa Matemática, Oaxaca (video**|**slides)
- 17 July:
** Bases and Uniform Domination for Simple Groups **

Postgraduate Group Theory Conference, University of St Andrews
- 30 May:
** Uniform Domination in Simple Groups **

Algebra Seminar, University of Birmingham
- 24 May:
** Segre Class of Almost Complete Intersections **

Two Minute Talks, University of Bristol

* I won a prize for one of the best talks. *
- 23 May:
** 3/2-Generation of Finite Groups **

Groups and their Applications “Triangle”, University of Manchester
- 9 May:
** Uniform Domination in Simple Groups **

Algebra and Geometry Seminar, University of Bristol
- 23 February:
** Uniform Domination in Simple Groups **

Groups and Combinatorics Seminar, University of Western Australia
- 7 February:
** 3/2-Generation of Finite Groups **

Algebra and Combinatorics Seminar, University of Auckland
- 26 January:
** Uniform Domination in Simple Groups **

Groups and Geometry, University of Auckland (slides)

#### 2017

- 2 November:
** Dobbly Disappointing **

Matrix Evening Talks, University of Bristol
- 21 September:
** ABBA: Need The Winner Take It All? **

Mingle, University of Bristol
- 7 August:
** 3/2-Generation of Finite Groups **

Groups St Andrews, University of Birmingham (slides)
- 27 June:
** Generating Graphs of Finite Groups **

Postgraduate Group Theory Conference, University of Cambridge (slides)
- 6 June:
** Generating Graphs of Finite Groups **

Young Algebraists' Conference, EPFL, Switzerland (slides)
- 23 May:
** Simpson's Paradox **

Two Minute Talks, University of Bristol
- 10 March:
** 3/2-Generation of Finite Groups **

Pure Postgraduate Seminar, University of Bristol (slides)
- 3 March:
** Generation through the Generations **

University of St Andrews Mathematics Society

#### 2016

- 2 November:
** Dobbly Disappointing **

Opportunities for the Future, University of Bristol
- 22 September:
** Dobbly Disappointing **

Mingle, University of Bristol
- 2 August:
** 3/2-Generation of Finite Groups **

Young Researchers in Mathematics, University of St Andrews (slides)
- 8 July:
** Generating Graphs of Finite Groups **

LMS Graduate Student Meeting, University College London (slides)

* I won a prize for best talk. *
- 30 June:
** 3/2-Generation of Finite Groups **

Postgraduate Group Theory Conference, Imperial College London (slides)
- 17 May:
** Through the Looking-Glass **

Two Minute Talks, University of Bristol

* I won a prize for best talk. *
- 4 March:
** 3/2-Generation of Finite Groups **

Junior Algebra Seminar, University of Cambridge (slides)

#### 2015

- 13 November:
** Throwing Darts at Fractals **

Pure Postgraduate Seminar, University of Bristol (slides)
- 21 April:
** Linearity: It adds up ... but the converse doesn't hold **

University of St Andrews Mathematics Society
- 17 April:
** Sporadic Symmetry: The remarkable behaviour of the Mathieu groups **

MMath Presentation, University of St Andrews (slides)
- 21 February:
** The Mathieu Groups: Simple Sporadic Symmetry **

Tomorrow's Mathematicians Today, University of York (slides)