Joshua Cole, PhD

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MATH 122 | College Algebra
MATH 207 | General Elementary Statistics


Ph.D. Mathematics, University of Notre Dame, 2010.
Thesis: On the elementary theories of the Muchnik and Medvedev Lattices of Π01 classes. Advisor: Peter Cholak.
Graduate Studies in Philosophy and Theology, St. Meinrad School of Theology, 2008-2012. M.A. Mathematics, University of Notre Dame, 2008.
B.A. Mathematics and Classics, University of Dallas, 2004.


Butler Institute for Research and Scholarship, Support for Research Trip to the University of Connecticut, August, 2013.
Schmitt Fellowship, Notre Dame, 2004-2008.


The ∀∃-theory of effectively closed Medvedev degrees is decidable, with Takayuki Kihara. Archive for Mathematical Logic, 49:1-16, 2010.
Mass problems and hyperarithmeticity, with Stephen G. Simpson. Journal of Mathematical Logic, 7:125-143, 2008.
Embedding FD(ω) into Ps densely. Archive for Mathematical Logic, 46: 649-664, 2008.

Office Location: 
Price Hall 212
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