5 problems

Baker–Jin conjecture.

Strong minimality conjecture. A hyperfield is strongly minimal if and only if it is either a strongly minimal field, that is, an algebraically closed field, or a hyperfield whose h…

Inheritance-property conjecture. All hyperfields with the doubly distributive property satisfy the inheritance property.

Multiplicity-bound conjecture. All hyperfields with the doubly distributive property satisfy the multiplicity bound.

Weak Closure Property. The Weak Closure Property holds for all matroids over hyperfields. This would characterize a broad class of tract-like coefficient systems for which vector s…