Marcia J. Groszek

Dartmouth College — United States

Mathematics · Physical Sciences

10h-index200citations26works0.02yr avg
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Research Topics

Advanced Topology and Set Theory(20), Computability, Logic, AI Algorithms(20), semigroups and automata theory(7), Rings, Modules, and Algebras(3), Mathematical and Theoretical Analysis(3)

Publications26 total

Schmerl decompositions in first order arithmetic
Annals of Pure and Applied Logic·2019
OF THE TURING DEGREES
2016
Reverse Mathematics and Ramsey Properties of Partial Orderings
Notre Dame Journal of Formal Logic·2015· 1 cited
Ramsey Properties of Countably Infinite Partial Orderings
The Electronic Journal of Combinatorics·2013· 1 citedOpen Access
Reverse mathematics and Ramsey's property for trees
Journal of Symbolic Logic·2010· 22 cited
Grigorieff Forcing on Uncountable Cardinals Does Not Add a Generic of Minimal Degree
Notre Dame Journal of Formal Logic·2009· 2 citedOpen Access
2006–07 Winter Meeting of the Association for Symbolic Logic
Bulletin of Symbolic Logic·2007
Uncountable superperfect forcing and minimality
Annals of Pure and Applied Logic·2006· 10 cited
In honor of James E. Baumgartner’s sixtieth birthday
Annals of Pure and Applied Logic·2006
An almost deep degree
Journal of Symbolic Logic·2001· 19 cited
Independence results from ZFC in computability theory: some open problems
Contemporary mathematics - American Mathematical Society·2000
A Basis Theorem for Perfect Sets
Bulletin of Symbolic Logic·1998· 14 cited
∑2-constructions and I∑1
Annals of Pure and Applied Logic·1998
Sigma2-constructions and ISigma1
1998
Π10 classes and minimal degrees
Annals of Pure and Applied Logic·1997· 4 citedOpen Access
The Sacks density theorem and Σ<sub>2</sub>-bounding
Journal of Symbolic Logic·1996· 12 cited
as an initial segment of the <i>c</i>-degrees
Journal of Symbolic Logic·1994· 6 cited
Generalized iteration of forcing
Transactions of the American Mathematical Society·1991· 25 cited
Σ2-induction and the construction of a high degree
Lecture notes in mathematics·1990· 6 cited
Applications of iterated perfect set forcing
Annals of Pure and Applied Logic·1988· 14 cited
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Frequent Co-authors

Theodore A. Slaman(8), Jared Corduan(2), Michael E. Mytilinaios(2), Tamara Hummel(2), Thomas Jech(1), Joseph R. Mileti(1), Peter Cholak(1), Richard Laver(1), Elizabeth T. Brown(1), Richard A. Shore(1), Brooke M. Andersen(1), François G. Dorais(1), Zachary Evans(1), Seth Harris(1)