Department of Mathematics

The Ohio State University

231 W. 18th Avenue

Columbus, OH 43210

e-mail: (my last name) at math dot osu dot edu

office: Math Tower 758

office phone: (614) 292-9363

B.A. Mathematics, University of California, Santa Barbara,
1988.

Ph.D. Mathematics, University of Illinois at Urbana-Champaign,
1994. Thesis Advisor: L. van den Dries.

I am interested primarily in applications of
logic---specifically, model theory---to real analytic geometry,
geometric measure theory, asymptotic analysis, and questions of
differentiability and analyticity of real functions, via studying
sets and functions that are definable in "well-behaved'' (e.g.,
o-minimal) first-order structures on the field of real numbers.
Determining which structures should be regarded as well behaved is
part of the job.

01/27/21. * Corrections to "Expansions of o-minimal structures by
dense independent sets"*.

12/15/22. * ... for "Expansions of the real field by
canonical products"*.

05/30/23. *Corrections to "Expansions of o-minimal
structures by fast sequences"*.

12/01/18. *A correction to "Basics of o-minimality
and Hardy fields"*.

01/19/17. *... for "Tameness in expansions of the real field"*.

9/7/12.
*... for ''Avoiding the projective hierarchy in expansions of
the real field by sequences''*.

11/14/12. *... for ''Geometric categories and o-minimal
structures''*.

9/2/03.
*... for ''Expansions of the real field with power functions''*.

These are miscellaneous observations and results that are not necessarily intended for publication, especially in their present form. Please regard them as such.

05/28/23. * A tameness condition on definably complete expansions of ordered fields*.

02/07/23. * Re-examination of an old question*.

03/25/09. *AP-sets of rationals define the natural numbers*,
with A. Dolich.

Revised
04/25/11. *A trichotomy for expansions of R_{an} by
trajectories of analytic planar vector fields* (with Patrick
Speissegger).

Revised
12/15/06. *A weak growth dichotomy for d-minimal expansions of
the real field*.

Revised
12/15/06. *Definable choice in d-minimal expansions of ordered
groups*.

Revised
12/15/06. *D-minimal expansions of the real field have the
exchange property*.

8/7/03.
*Status of the o-minimal two-group question *(with Sergei
Starchenko).

Please contact me for e- or offprints of papers that have already
been published.