Justin Moore

Associate Professor of Mathematics

555 Malott Hall

(607) 255-4185

Ph.D. (2000) University of Toronto

Research Area

Set theory, mathematical logic, and set theoretic topology

My area of research is set theory and infinite combinatorics. I am particularly interested in applications of forcing axioms and in Ramsey theory at the level of the first uncountable cardinal. These pursuits arise naturally in the study of basis problems for uncountable structures and in the study of Cantor's Continuum Problem.

Selected Publications

Parametrized diamond principles, Transactions of the American Mathematical Society 356 (2004), 2281–2306.

Set mapping reflection, Journal of Mathematical Logic 5 no. 1 (2005), 87–98.

A five element basis for the uncountable linear orders, Annals of Mathematics (2) 163 no. 2 (2006), 669–688.

A solution to the L space problem, Journal of the American Mathematical Society 19 no. 3 (2006), 717–736.

Omega1 and omega1* may be the only minimal uncountable order types, Michigan Math. Journal 55 no. 2 (2007), 437–457.

A universal Aronszajn line, Mathematical Research Letters (to appear).