Trevor Wilson

Trevor Wilson is an Associate Professor in the Department of Mathematics at Miami University. His research focuses on Set Theory, Mathematical Logic, and Foundations of Mathematics, with particular emphasis on topics such as Axiom of Determinacy, Vopěnka's Principle, and Large Cardinals. He holds a Ph.D. in Mathematics from the University of California, Berkeley.

Wilson's research explores advanced set-theoretic concepts including descriptive set theory, inner model theory, and the consistency strength of determinacy axioms. His work frequently intersects with model theory, forcing techniques, and combinatorial principles. Recent trends in his publications highlight investigations into universally Baire sets, generic absoluteness, and the interplay between large cardinal hypotheses and foundational mathematical structures.

Notable contributions include studies on the Axiom of Determinacy, Weak Vopěnka's Principle, and the application of game-theoretic methods to combinatorial problems. His analysis often bridges abstract set theory with concrete mathematical frameworks, addressing questions of categoricity, definability, and consistency strength across diverse structures.

Trevor Wilson has no listed scientific awards or grants in the provided texts. His academic advising activities and involvement in research teams are not detailed here, though his publications suggest active participation in collaborative set-theoretic research networks.