ARLIE O. PETTERS
My current mathematical physics research deals with employing weak and strong deflection
gravitational lensing to test theories of gravity, explore the geometry
of spacetime around black holes, and probe the nature of dark matter
on galactic scales.
I utilize tools from astrophysics, cosmology, general relativity,
high energy physics, and a variety of mathematical fields
(e.g., differential geometry, singularity theory, and probability
theory).
This research is currently supported in part by NSF grants DMS-0302812,
AST-0434277, and
AST-0433809.
A mathematical theory of gravitational lensing is given in the following book:
My publications also contain recent research work on the mathematical and physical aspects of gravitational lensing. Related popular articles on gravitational lensing:
I am co-authoring a two-volume text on Mathematical Finance.
In addition, I am involved with Entrepreneurship and Innovation in
Science and Technology for the Developing World. These efforts
are being piloted in Belize in collaboration with the
Petters Research
Institute
and through my joint appointment with Duke's Fuqua School of Business.
The overall goal is to research and implement
innovative ways to drive national
development through high-tech industries.
Mathematical Finance
Entrepreneurship and Innovation