Arlie O Petters, Benjamin Powell Professor of Mathematics, secondary appt: Fuqua and Physics  

Arlie O Petters

Office Phone: (919) 660-2812
Email Address: arlie.petters@duke.edu
Web Page: http://www.math.duke.edu/~petters

Specialties:
Mathematical Physics
Geometry
Probability

Research Categories: Gravitational Lensing, General Relativity, and Cosmology

Research Description: I develop physically based mathematical theories of gravitational lensing (light deflection by gravitational fields) in a variety of astrophysical contexts and investigate the observational consequences of the associated theorems. I am currently researching flux ratio anomalies with applications to the nature of dark matter and exploring relativistic gravitational lensing with applications to supermassive black holes. One of my goals is to emphasize the stable and generic features of lensing, drawing conclusions essentially independent of the oversimplifying approximations of a chosen lens system model. At the same time, I also analyze in depth specific physically realistic models having predictive power. The mathematical tools employed draw upon the theory of singularities, differential geometry, and probability theory. My research involves collaborations with astrophysicists, mathematicians, and physicists.

Recent Publications   (More Publications)

  1. A. O. Petters and M. C. Werner, Gravitational Lensing and Black Holes (July, 2015), Springer, in preparation .
  2. A. O. Petters and X. Dong, Mathematical Finance with Applications: Understanding and Buiding Financial Intuition, SUMAT (July, 2014), Springer, in preparation .
  3. A. Aazami, C. Keeton, and A.O. Petters, Lensing by Kerr Black Holes. II. Analytical Study of Quasi-Equatorial Lensing Observables, vol. 52 (2011), pp. 102501 .
  4. A. Aazami, C. Keeton, and A.O. Petters, Lensing by Kerr Black Holes. I. General Lens Equation and Magnification Formula, J. Math. Phys., vol. 52 (2011), pp. 092502 .
  5. A. B. Aazami, A. O. Petters, and J. M. Rabin, Orbifolds, the A, D, E Family of Caustic Singularities, and Gravitational Lensing, J. Math. Physics, vol. 52 (2011) .

Curriculum Vitae

Current Ph.D. Students   (Former Students)

    Postdocs Mentored

    • Carla Cederbaum (2011/07-2014/06)  
    • Marcus Werner (2009/07-2011/06)  
    • Kumar Virbhadra (2000/09-2002/02)