SAMUEL COSKEY: CURRICULUM VITAE

Postdoc at the CUNY Graduate Center.

During this (compensated) visit to Germany, I collaborated with the logic group at The University of Bonn.

Doctoral thesis titled Descriptive aspects of torsion-free abelian groups. Advised by Simon Thomas.

Summa cum laude, with distinction in mathematics. Senior thesis titled Partial universes and the axioms of set theory.

countable Borel equivalence relations, set theory, descriptive set theory, ergodic theory, orbit equivalence, infinite-time computation

Borel reductions of profinite actions of SL(n,Z). Submitted, 2009.

Infinite time decidable equivalence relation theory. With Joel Hamkins. Submitted, 2009.

The complexity of classification problems for models of arithmetic. With Roman Kossak. Submitted, 2009

The conjugacy problem for the automorphism group of the random graph. With Scott Schneider and Paul Ellis. Submitted, 2009.

The classification of torsion-free abelian groups of finite rank up to isomorphism and quasi-isomorphism. Submitted, 2009.

Math 351/641, Real analysis (with graduate component)Fall, 2009
Math 136, Matrix algebraFall, 2008

Math 461, Mathematical logicSpring, 2008
Math 136, Calculus II for business and economics Summer, 2006

Math 244, Differential equationsSpring, 2007
Math 152, Calculus II for engineersFall, 2006
Math 135, Calculus I for business and economicsSpring, 2006
Math 152, Calculus II for engineersFall, 2005

During weekly meetings, we try to discover mathematics by discussing elementary but deep mathematical questions. The School is open and free to the public. For more information about our activities, visit http://thewe.net/math

Through weekly meetings, advised undergraduates in several advanced areas of study. Prepared the students to give expository talks each semester.
Topics advised: set theory, measure theory, modal logic, model theory.

Mentored individual, highly capable undergraduates in original research projects. Assisted students in writing a paper and giving a talk at the end of the summer.

Assisted students in all upper level areas of mathematics.

Assisted students in all areas of mathematics and physics.

Exposition of recent work with Joel Hamkins, titled Infinite-time Turing machines and Borel reducibility

Exposition of recent research, titled On dimension and Borel reducibility

Overview of research and research area, titled Countable Borel equivalence relations

Overview of research and research area, titled Countable Borel equivalence relations

On dimension and Borel reducibilitySpring, 2009
On the classification of torsion-free abelian groups up to quasi-isomorphismFall, 2007

Borel subsets of ω₁-Baire spaceSummer, 2009
Equivalence relations and infinite-time computable reductionsSummer, 2008

Borel equivalence relationsOctober, 2008

Borel equivalence relationsSpring, 2009
Supercompactness and superstrong cardinalsFall, 2006
The importance of superrigidity in Borel equivalence relationsFall, 2005

Scott sets generated by Cohen realsSpring, 2009
Ehrenfeucht-Mostowski models and omitting typesFall, 2008

Borel superrigidity for actions on Grassmann spaces over the p-adicsFall, 2007
Orbit equivalence of measure preserving group actionsFall, 2007
Antimodular actionsSpring, 2007
Strong ergodicity and Property (τ)Spring, 2006

The set theory of classification problems Fall, 2008

The Banach-Tarski paradox Spring, 2007

Ratner's Theorem Fall, 2006

Organized a program of descriptive set theory and equivalence relations during the Spring. Coordinated a more general program in the Fall.

Represented graduate student interests with regard to servers, networks and terminals in the mathematics department.

Henry C. Torrey Graduate Fellowship

Outstanding senior in mathematics

Winner, COMAP Mathematical Contest in Modeling

NSF REU participant

Citizen of the United States

Plays well with others