Robert Mignone

Interim Chair, Department of Engineering

EDUCATION

Ph.D. in Mathematics, The Pennsylvania State University

B.A. in Mathematics, Temple University

RESEARCH INTEREST

My research is Set Theory, which is a part of the broader area of Logic/Foundations of Mathematics.  I study the higher infinite called large cardinal hypothesis, such as super compact cardinals and huge cardinal hypothesis. Lately, my interest has focused on the Ultimate L conjecture, which seeks an inner model type structure so robust and near the boundary of consistency and inconsistency rendering forcing extensions impotent at adding things of interest, yet nice properties of inner models are preserved such as the Continuum Hypothesis, yielding an axiom for the universe of all sets, V = Ultimate L, that could comfortably align with mathematical platonism.