Lab

Musical World

A mathematical atlas of music: hear the connections between pieces.

Search existing scores, compare melodies and harmonies, discover structural relatives, and explore recurring motifs. Transform musical ideas and create variations under explicit mathematical constraints, with notation and playback throughout.

Open access · credited Bach and OpenScore scores · no account required

Mathematical Worlds

An interactive laboratory for existence, identity and truth in mathematics.

Explore mathematical objects, compare group structures and examine how statements depend on axioms through three interactive laboratories: Existence, Identity and Axiom Worlds.

Open access · no account required

Persistent Persona Systems

Long-term memory, temporal state and evidence-grounded generation for conversational AI.

An ongoing project exploring how a conversational AI system can retain context, track changes over time, and maintain a consistent persona across conversations.

Technical notes forthcoming

Tragedy Engine

Computational literary structure: tragedy, information, causality and counterfactuals.

An evidence-grounded workspace for exploring how literary tragedy is structured. The first release follows Oedipus Rex through a sourced timeline, relationships, knowledge states and a deterministic replay of one curated intervention.

Oedipus Rex vertical slice available

Room for experimentation.

A future home for mathematics and AI experiments.

I would like to use this space to explore how computation and AI can support mathematical understanding: working through examples, examining arguments, and making abstract ideas easier to explore. Further experiments will be added as they are developed.