Eyal Kaplan

Eyal Kaplan is a Postdoctoral Scholar in the Department of Mathematics at the University of California, Berkeley. His research focuses on Mathematical Logic, specifically within the areas of Set theory, forcing, and large cardinals. Appointed in 2023, Kaplan is affiliated with the Faculty Postdoc role and can be contacted via email at eyalkaplan@berkeley.edu. His personal website provides additional details about his work and academic profile.

Eyal Kaplan is a postdoctoral researcher at the University of California, Berkeley, specializing in Set Theory. His research focuses on ultrafilters, ultrapower embeddings, and their interactions with generic extensions and ground models. He investigates properties of normal measures, restrictions of ultrapowers, and the behavior of large cardinals under forcing iterations. His work includes studies on Prikry-type forcing, Easton support iterations, and the Ketonen order. Kaplan's research contributes to understanding the structure of the set-theoretic universe, particularly in contexts involving the Continuum Hypothesis and non-stationary support iterations. His publications highlight the interplay between forcing, large cardinals, and the classification of ultrafilters.