Justin Moore

Associate Professor of Mathematics

Web Site www.math.cornell.edu/~justin/ Contact Information Office:  555 Malott Hall Phone:  (607) 255-4185 Fax:  (607) 255-7149 Email:  justin@math.cornell.edu Courses & Office Hours

Education

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

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

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

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

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

Omega1 and omega1 may be the only minimal uncountable order types, Michigan Math. Journal (accepted).

Minimality of non sigma-scattered orders, preprint.

Last modified: September 7, 2007