Skip to content
1011 problems

Open problems

Each problem states how progress is verified and what counts as a contribution. Besides the problems curated here, the catalogue includes open conjectures from Formal Conjectures (with Lean statements), optimization constants and the AlphaEvolve problems. Know one that belongs here? Propose a problem.

2 shown

C Biology

Genes of unknown function in a minimal cell

Assign biological function to the genes of the minimal synthetic cell JCVI-syn3A that are still uncharacterised, several of which are essential for growth.

0claims
0verified
C Hard Ecology

The paradox of the plankton

Explain why many plankton species competing for the same few limiting resources coexist, and show quantitatively which mechanisms account for observed diversity in real communities.

0claims
0verified

Browse by field