A living collection of activities grouped into four tracks. Filter by track, or jump directly to a specific activity using the anchors.
Read, solve, publish, code, present, collaborate, and think about next steps from one connected programmes map. Focus on one track when you need clarity, or use the full page as a landscape of possibilities.
Focus one rhythm when you want a clean path, or keep every track open when you want the whole map.
Activities focused on reading, understanding, and communicating mathematics with clarity.
Invariant Letters is the platform’s publication home for expository notes, problem write-ups, short essays, and interviews, with room for both polished prose and pure LaTeX.
Learn from carefully curated lectures and seminars, then scroll straight into LaTeX-enabled discussions. Ask questions, share solutions, and build ideas together in structured mathematical threads.
Activities focused on doing mathematics: solving problems, writing code, and typesetting clearly.
Use the online problem hub to explore carefully chosen problems and community submissions. Each problem has its own discussion page where people share full solutions, alternative approaches, and comments.
Learn tools such as Python, SageMath, Maple, Mathematica, and Manim together. Use the coding labs to support number theory, combinatorics, visualisation projects, and experiments for coursework and research.
LaTeX clinics and the LaTeX Lab help people write mathematics cleanly. Each participant completes a mini project such as a typed solution sheet or a short exposition linked to a course or a personal topic.
Support and participate in the ODE–Integration Bee and related contests. Build tradition, teamwork, and problem-solving skill in a friendly competitive environment.
Activities that connect people across backgrounds: researchers, students, educators, and collaborators working with mathematics in different contexts.
Short lectures and discussions with mathematicians and researchers, announced, streamed, and archived via the Events page.
Organise visits to local schools to give accessible math talks and small problem sessions. Build confidence and serve as role models for younger students.
Collaborate with people working in computer science, physics, statistics, engineering, economics, education, or industry. Host joint sessions that show how mathematical ideas move across fields — from theory to applications and back again.
Discussions and resources for navigating research, graduate study, industry, and teaching pathways in mathematics.
Conversations with researchers, graduate students, and professionals on paths in academia, industry, teaching, and applied work. Key ideas and resources are preserved for later reference.
