PROBLEMS

A living board for students, lecturers, alumni, and aspiring researchers: share a question, a challenge, a technique, a counterexample, or a result worth understanding properly. Strong threads often grow into reading groups, mini-projects, and research directions.

— Problems

— Unanswered

Slow thinking is allowed here. Share methods, cite sources when helpful, and let conversations mature into work.

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Share a problem. Start a thread. Plant a research seed.

Bring something worth thinking about: a tricky example, a “why does this step work?” question, a clean theorem, a counterexample, or a short challenge that reveals a method. Research-minded posts are welcome: conjectures, extensions, “what changes if we weaken the hypothesis?”, literature pointers, or links between topics. Not a place for copy-paste homework — make it discussable, and explain your reasoning.

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Best opening line: “Here’s what I tried — where did my logic bend?”

How to use this board

• Open a title → read carefully → join the discussion thread.
• Write maths cleanly with LaTeX (MathJax is on for titles + solutions).
• Tag your post so the right people find it (level tags are welcome).
• Research vibe: share references, define terms, and explain why a step is valid.

Tracks & recurring threads

• ODEIntBee warm-ups (speed + technique)
• Research corner (conjectures, extensions, paper-to-problem threads)
• Proof clinic (definitions, lemmas, and “why this step is valid”)
• Classics & contests (beautiful problems that teach methods)