## Research Interests |

- Frattini subalgebra
- Generators
- Jordan algebras
- Lie triple systems
- Leibniz algebras
- Genetic algebras
- Bernstein algebras
- Train algebras
- Superalgebras

- Solvable, completely solvable, supersolvable and triangulable Lie algebras
- Nilpotent Lie algebras
- The subalgebra lattice of a Lie algebra
- Modularity, upper and lower modularity, semimodularity
- Quasi-ideals
- Maximal subalgebras
- A-algebras
- Elementary Lie algebras
- Complemented Lie algebras
- Decomposition results
- Conjugacy properties
- Formation Theory

- Soluble groups
- Formation Theory
- Subgroup lattices of groups
- Maximal subgroups
- Algebraic groups
- Areas related to my interests in Lie algebras

- The school/university interface
- Theories of mathematical learning
- The undergraduate curriculum

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