Teaching

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Teaching

Research

Lecture courses

In 2025/26, I am co-lecturing MATH 10027 Introduction to Pure Mathematics in Teaching Block 1, and I am lecturing MATH 21800 Algebra 2 in Teaching Block 2.

Project supervision

In 2025/26, I am supervising the following undergraduate projects:
  • Felicity Lloyd (Year 3)

  • Toby Pitfield (Year 3)

  • Sean Shi (Year 3)

  • Jacob Stent (Year 4)

PhD supervision

  1. Eoghan Farrell (from September 2025)

  2. Marina Anagnostopoulou-Merkouri (August 2023 - )

  3. Hongyi Huang (January 2021 - March 2025)
    Thesis: Bases for permutation groups and related problems
    Current position: LMS Early Career Research Fellow, University of St Andrews

  4. Emily Hall (October 2019 - September 2023)
    Thesis: Almost elusive permutation groups

  5. Scott Harper (October 2015 - May 2019)
    Thesis: On the spread of classical groups
    Current position: Assistant Professor, University of Birmingham

  6. Elisa Covato (October 2013 - May 2018)
    Thesis: The involution fixity of simple groups

  7. Raffaele Rainone (October 2010 - March 2014)
    Thesis: Geometric actions of classical algebraic groups

Some problems in the theory of simple groups

In September 2016, I gave four lectures on Simple groups, fixed point ratios and applications at a workshop on

Some problems in the theory of simple groups
at the Bernoulli Center at the École Polytechnique Fédérale de Lausanne in Switzerland.

This survey article is based on the content of these lectures.


Young Algebraists' Conference

In June 2014, I gave five lectures on Permutation Groups at a summer school on

Groups, Representation Theory and Related Topics
at the École Polytechnique Fédérale de Lausanne in Switzerland.

An expanded version of the lecture notes can be found here.