I completed my Ph.D. in 1993 at the University of Michigan
with a thesis focusing on the axiomatics of Euclidean geometry under the guidance of advisor
Andreas Blass. I came to ASU in 1994.
My research interests include the
axiomatics of a variety of geometries such as affine, projective, Euclidean, ordered, equiaffine,
hyperbolic, and the geometry of metric planes. I have also examined definability questions -
syntactic equivalents of characterizations of geometric transformations under mild
hypotheses - in several geometries including Minkowski space. Another interest focuses on reverse
geometry which is the search for the most austere axiom systems inside which a certain
theorem can be proved.
I am currently writing a book about the
axiomatic foundation of geometry which will survey all contributions made from the 1882 beginning
of the modern axiomatization of geometry to the present.
Contact
- ASU West Campus
- Office: CLCC 279
- phone: (602)-543-3021
- email:
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