Teaching

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Teaching

Research

Lecture courses

In 2024/25 I am lecturing MATH 21800 Algebra 2 in Teaching Block 2.

Project supervision

In 2024/25, I am supervising the following undergraduate projects:
  • Keqin Chen: The power graph of a finite group

  • Riya de Caires: Algebraic varieties

  • Jack Gidney: The commutativity degree of a finite group

  • Kenny Stone: The commuting graph of a finite group

PhD supervision

  1. Marina Anagnostopoulou-Merkouri (August 2023 - )

  2. Hongyi Huang (January 2021 - March 2025)
    Thesis: Bases for permutation groups and related problems

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

  4. Scott Harper (October 2015 - May 2019)
    Thesis: On the spread of classical groups
    Current position: EPSRC Postdoctoral Fellow, University of St Andrews

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

  6. 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.