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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.

6 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.

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B Biology

Predicting protein conformational ensembles

Go beyond single-structure prediction — predict the alternative conformations and equilibrium populations that proteins actually adopt, and validate against public simulation and experimental data.

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B Hard Biology

RNA 3D structure prediction

Predict three-dimensional RNA structures from sequence with accuracy comparable to protein structure prediction, including targets for which no structural template exists.

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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.

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