Professor Arlie O. Petters

Benjamin Powell Professor


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 Current Research:

Mathematical Physics
Mathematics - Differential Geometry, Singularities, Probability Theory
Physics - Gravitational Lensing, General Relativity, Astrophysics, Cosmology

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:



Business Administration
Mathematical Finance
Entrepreneurship and Innovation in Science and Technology

I am co-authoring a two-volume text on Mathematical Finance. In addition, I am involved with Entrepreneurship and Innovation in Science and Technology, particularly in a Developing World setting. 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.



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