Artem Chernikov, associate professor of mathematics at the UCLA College, has been selected as a 2020 Simons Fellow in Mathematics for his project titled, “Model theory, groups and hypergraph combinatorics.”
Hypergraphs are the basic discrete mathematical objects often used to represent networks, and model theory is a branch of mathematical logic that aims to classify mathematical structures and their subsets definable in a formal language. Chernikov applies model theory to study the asymptotic behavior of large hypergraphs arising in a certain geometric or algebraic manner.
Chernikov is also part of the UCLA Logic Center, and his previous awards include an NSF CAREER Award, a Sloan Research Fellowship and a Sacks prize.
The Simons Fellows program “extends academic leaves from one term to a full year, enabling recipients to focus solely on research for the long periods often necessary for significant advances.” Chernikov plans to visit several universities around the world pursuing solo work and ongoing collaborations on the topics of the project.