Department of Mathematics
The Ohio State University
231 W. 18th Avenue
Columbus, OH 43210
e-mail: (my last name) at math dot ohio hyphen state dot edu
office: Math Tower 758
office phone: (614) 292-9363
FAX: (614) 292-1479
(Please contact me for e- or offprints of papers that have already been published.)
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07/02/09.
Expansions of o-minimal structures on the real field by
trajectories of linear vector fields.
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07/01/09.
Generic expansions of ordered structures, with A. Dolich and C. Steinhorn.
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11/29/08.
Expansions of the real field by open sets:
definability versus interpretability, with H. Friedman, K. Kurdyka,
and P. Speissegger.
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Revised 03/18/08
(some minor typos fixed).
Structures having o-minimal open core, with A. Dolich and C.
Steinhorn, to appear in Trans. Amer. Math. Soc.
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2/19/06.
... for ``Avoiding the projective hierarchy in expansions of the
real field by sequences''.
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2/5/05.
... for ``Geometric categories and o-minimal structures''.
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9/2/03. ... for ``Expansions of the real field with power
functions''.
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03/25/09.
AP-sets of rationals define the natural numbers, with A. Dolich.
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Revised
12/15/06.
A trichotomy for expansions of R_{an} by trajectories of
analytic planar vector fields (with Patrick Speissegger).
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Revised
12/15/06.
A
weak growth
dichotomy for d-minimal expansions of the real field.
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Revised
12/15/06.
Definable
choice in d-minimal expansions of ordered groups.
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Revised 12/15/06. D-minimal
expansions of the
real field have the exchange property.
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8/7/03. Status of the o-minimal two-group question (with
Sergei
Starchenko).
ASL (Association for Symbolic Logic)
Deconstructing
Evaluations , by Paul Trout