Samuel Coskey / Research

☢ Samuel Coskey / Research

My dissertation research was in countable Borel equivalence relations; I was particularly interested in the classification problem for torsion-free abelian groups of finite rank. I am currently continuing this research. I have also become involved with new projects, involving equivalence relations, which are connected with other areas of logic.

My projects and publications are listed below. You can also see a list of abstracts for some recent invited talks, or my full professional curriculum vitae.

Invariant properties of countable Borel equivalence relations. With Scott Schneider. In progress.
Borel reductions of profinite actions of SL_n(Z). Submitted, 2009. (arΧiv)
I gave a talk on this at the ESI Wien in June, 2009. (slides)
Infinite time decidable equivalence relation theory. With Joel Hamkins.
Submitted, 2009. (arΧiv)
Also see the extended abstract for my talk at the July, 2009 CiE in Heidelberg.
The complexity of classification problems for models of arithmetic. With Roman Kossak. Submitted, 2009. (arΧiv)
The conjugacy problem for the automorphism group of the random graph. With Scott Schneider and Paul Ellis. Submitted, 2009. (arΧiv)
The classification of torsion-free abelian groups of finite rank up to isomorphism and up to quasi-isomorphism. Submitted, 2009. (arΧiv)
I gave a somewhat specialized talk on this to logicians at the October, 2008 AMS meeting at Wesleyan. (slides)
Descriptive aspects of torsion-free abelian groups. Phd thesis, 2008. (pdf)
I gave a very short and accessible talk on this at the January, 2008 joint meetings. (slides)