Research interests

Group theory - in particular, finite groups of prime-power order (finite p-groups).

Graded Lie algebras over fields of positive characteristic. In particular, graded Lie algebras of infinite dimension with bounds on the dimensions of theirt homogeneous components.

Applications of algebra to problems in cryptography.

Regular subgroups of the permutational holomorph of a group, and their connections to skew braces, Hopf Galois strctures, and set-theoretic solutions of the Yang-Baxter equation.

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