Math work

Mobius transformations - a few facts and proofs

Sharply transitive groups - a short tour, including a simple proof of the non-existence of sharply transitive groups of degree 4 and 5, except the symmetric, alternating and Mathieu groups.

Fundamental domains for Γ₀(N) and Γ₁(N), including free generators for these groups.

Fundamental domains for Shimura curves over the Rationals

Groups of order p^3 - Finding all groups of order p^3 for all prime p, with detailed constructions, proofs of existence and completeness. Familiarity with basic group theory and linear algebra is assumed.