Research topic 01

Formalization

Formal definitions, statements, and proofs: specification, verification, and collaboration.

What we explore

How can a mathematical proof be expressed and verified, step by step?

This proposed topic brings together the formalization of mathematical definitions, statements, and proofs. Reading, discussion, and practical work would help build a collection of reusable formal material. Tools, project scope, and prerequisites will be specified when projects begin.

  • Precise expression of mathematical concepts and theorems
  • Breaking down and checking proof structures
  • Collaborating on a growing body of formal mathematics

How we work

  1. Choose a problem

    Select a manageable piece of mathematics and identify its definitions, results, and dependencies.

  2. Discuss and implement

    Combine reading and group practice to express the argument as a checkable proof.

  3. Document and share

    Organize code, notes, and open questions to give future participants a clear starting point.

Projects

No research projects yet

Project introductions will include goals, participants, progress, and public outcomes.

Seminars & conferences

No announced events yet

Topics, dates, locations, and participation details will accompany each announcement.

Resources & outcomes

Planned materials: Proof code, Introductory notes, References.

No public resources yet

Materials will include authorship, usage guidance, and public links when they are ready.

How to take part

If you are interested in rigorous proofs, formal tools, or the relationship between mathematics and computation, reading and discussion can be a starting point. Specific requirements will appear in each project announcement.

Participation details to follow

Topic contacts and participation arrangements have not yet been announced.

Contact & participation