Logic and Foundations

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The UCI research group on Logic and Foundations of Mathematics focuses on set
theory, with emphasis on forcing, large cardinals, inner model theory, fine
structure theory, regular and singular cardinal combinatorics, and descriptive
set theory.  Two aspects of descriptive set theory are studied: the interaction
with and application of it in mainstream mathematics, most importantly ergodic
theory, as well as its connections to large cardinals, inner models, and

The group is a part of Southern California group in Logic and Foundations,
whose members mainly belong to UCLA, Caltech, and UCI. Southern California
group was recently awarded the NSF RTG Grant DMS-1044150 which funds several of
its new activities.

Contributing Faculty

Affiliated Faculty

Graduate Students