Will Sawin works on problems connecting arithmetic and combinatorics. His paper on the union-closed sets conjecture applies entropy inequalities to a finite family closed under unions.[ref]
An improved lower bound for the union-closed sets conjecture by Will Sawin. Original byline and abstract
For a nontrivial such family, the paper guarantees an element in at least a fraction of the sets. The argument studies the union of independent random members and bounds the resulting entropy growth. It is a quantitative advance toward the conjectured one-half fraction, with the nonempty-union condition needed to exclude the family containing only the empty set.[ref]
An improved lower bound for the union-closed sets conjecture by Will Sawin. Theorems 1–2 and family application
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Will Sawin could refer to a few different contexts, but not enough detail was provided for a specific answer. If you are referring to a person, it might relate to an individual who is known in a specific field, such as academia or public life. For example, Will Sawin is associated with work in mathematics, particularly in areas like algebraic geometry.