Justin Tatch Moore
Research:
My primary area of research is Ramsey theory of infinite sets.
Perhaps the best illustrations of this interest can be found in my solutions
to the basis problem for uncountable linear orders and to the
L space problem from general topology.
I am also interested in determining the
consequences of relating the continuum
to certain values of the aleph function.
Examples of work along these lines are my papers The Open Coloring
Axiom, the continuum, and the second uncountable cardinal and
Set mapping reflection.
In addition to this,
my future research interests include studying the role of
Ramsey theory in infinite dimensional analysis.
Recently Ramsey theory has found applications in
the study of extremely amenable groups, in Banach space geometry,
and in C*-algebras.
In each case, the past work seems to suggest there will be other
related applications in the future.
Above all, I am interested in finding new ways in which set theory and
set theoretic methods can useful to other areas of mathematics.
I am always eager to speak to those with an interest in set theory.
Editorial work:
I am an editor for the
Archive of Mathematical Logic and for the
Journal of Symbolic Logic.
I handle papers in set theory.
Electronic submissions (.pdf) are preferred.
Alternately, you may send two hard copies to the above
mailing address.
If you do not receive confirmation of receipt within
a week of electronic submission, please contact me again.
Please allow two weeks for confirmation of a submission by
regular mail.
555 Malott Hall
Department of Mathematics
Cornell University
Ithaca, NY 14853-4201
phone: (607)-255-4185
FAX: (607)-255-7149
Publications
Preprints
Cornell
Mathematics