# Arlie Petters

Belizean-American mathematical physicist

## Arlie Petters's AcademicInfluence.com Rankings

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Physics Mathematics

## Why Is Arlie Petters Influential?

(Suggest an Edit or Addition)According to Wikipedia, Arlie Oswald Petters, MBE is a Belizean-American mathematical physicist, who is the Benjamin Powell Professor of mathematics and a professor of physics and economics at Duke University. Petters became the provost at New York University Abu Dhabi effective September 1, 2020. Petters is a founder of mathematical astronomy, focusing on problems connected to the interplay of gravity and light and employing tools from astrophysics, cosmology, general relativity, high energy physics, differential geometry, singularities, and probability theory. His monograph "Singularity Theory and Gravitational Lensing" developed a mathematical theory of gravitational lensing. Petters was also the dean of academic affairs for Trinity College of Arts and Sciences and associate vice provost for undergraduate education at Duke University .

## Arlie Petters's Published Works

### Published Works

- Singularity Theory and Gravitational Lensing (2001) (245)
- Formalism for testing theories of gravity using lensing by compact objects: Static, spherically symmetric case (2005) (143)
- Identifying Lenses with Small-Scale Structure. I. Cusp Lenses (2002) (116)
- Light’s bending angle due to black holes: from the photon sphere to infinity (2006) (91)
- Identifying Lenses with Small-Scale Structure. II. Fold Lenses (2003) (83)
- Formalism for testing theories of gravity using lensing by compact objects. II. Probing post-post-Newtonian metrics (2006) (71)
- Formalism for testing theories of gravity using lensing by compact objects. III. Braneworld gravity (2006) (61)
- Lensing by Kerr black holes. II: Analytical study of quasi-equatorial lensing observables (2011) (39)
- Magnification relations for Kerr lensing and testing cosmic censorship (2007) (38)
- Gravitational Microlensing near Caustics. I. Folds (2001) (37)
- On relativistic corrections to microlensing effects: applications to the Galactic black hole (2002) (37)
- Mathematics of gravitational lensing: multiple imaging and magnification (2009) (35)
- Morse theory and gravitational microlensing (1992) (29)
- Gravitational Microlensing near Caustics. II. Cusps (2002) (26)
- Lensing by Kerr black holes. I. General lens equation and magnification formula (2011) (25)
- Multiplane gravitational lensing. I. Morse theory and image counting (1995) (23)
- Arnold’s singularity theory and gravitational lensing (1993) (22)
- Singularities of the one‐ and two‐point mass gravitational lens (1993) (22)
- Multiplane gravitational lensing. II. Global geometry of caustics (1995) (21)
- Applications of singularity theory to gravitational lensing. I: Multiple lens planes (1993) (17)
- A universal magnification theorem for higher-order caustic singularities (2008) (16)
- Gravity ’ s Action on Light (2010) (16)
- A mathematical theory of stochastic microlensing. II. Random images, shear, and the Kac-Rice formula (2008) (15)
- Bounds on number of cusps due to point mass gravitational lenses (1996) (13)
- Wavefronts, caustic sheets, and caustic surfing in gravitational lensing (2002) (9)
- Multiplane gravitational lensing. III. Upper bound on number of images (1997) (8)
- A Mathematical Theory of Stochastic Microlensing I. Random Time-Delay Functions and Lensing Maps (2008) (7)
- Orbifolds, the A, D, E Family of Caustic Singularities, and Gravitational Lensing (2010) (6)
- Lower bounds on image magnification in gravitational lensing (1996) (6)
- A universal magnification theorem. II. Generic caustics up to codimension five (2009) (6)
- Caustics of the double-plane two-point-mass gravitational lens with continuous matter and shear (1995) (6)
- A universal magnification theorem. III. Caustics beyond codimension 5 (2009) (5)
- Fixed points due to gravitational lenses (1998) (5)
- An Introduction to Mathematical Finance with Applications: Understanding and Building Financial Intuition (2016) (4)
- Singularity theory and gravitational lensing : with 184 illustrations (2001) (3)
- New caustic singularities in multiple lens plane gravitational lensing (1993) (3)
- Singularities in Gravitational Microlensing (1991) (2)
- Magnification Cross Sections for the Elliptic Umbilic Caustic Surface (2019) (2)
- The Time Value of Money (2016) (1)
- Stochastic Calculus and Geometric Brownian Motion Model (2016) (1)
- Markowitz Portfolio Theory (2016) (1)
- Observations of Gravitational Lensing (2001) (0)
- FNCE 491: Quantitative Finance The General Black-Scholes-Merton Model and Beyond (2010) (0)
- Basic Physical Concepts (2001) (0)
- Ju n 20 02 Gravitational Microlensing Near Caustics II : Cusps (0)
- Testing theories of gravity with black hole lensing (2008) (0)
- A Cusp—Counting Formula for Caustics due to Multiplane Gravitational Lensing (1996) (0)
- Gravitational Microlensing Near Folds (2001) (0)
- STABLE LENS SYSTEMS, LENSED IMAGE MAGNIFICATION AND MAGNIFICATION CROSS SECTIONS (2002) (0)
- Curvature of caustics and singularities of gravitational lenses (1997) (0)
- Capital Market Theory and Portfolio Risk Measures (2016) (0)
- Ja n 20 02 Submitted to ApJ Gravitational Microlensing Near Caustics I : Folds (2002) (0)
- Preliminaries on Financial Markets (2016) (0)
- Gravitational Lensing in Spacetimes: Matter, Dark Energy, and Black Holes (2020) (0)
- Time Delay and Lensing Maps (2001) (0)
- New Caustic Phenomena in Double-Plane Lensing (1996) (0)
- ApJ Gravitational Microlensing Near Folds (2001) (0)
- Critical Points and Stability (2001) (0)
- An analytical approach to quasar variability due to microlensing (1992) (0)
- Binomial Trees and Security Pricing Modeling (2016) (0)
- The BSM Model and European Option Pricing (2016) (0)
- Global Geometry of Caustics (2001) (0)
- Wavefront Singularities due to AN Elliptical Potential (2002) (0)
- An Analytical Treatment of Quasar Variability due to Microlensing (1991) (0)
- Counting Lensed Images: Multiplane Case (2001) (0)
- Center of light curves for Whitney fold and cusp (2001) (0)
- 5. Othering and Such Climatic Joy Killers by Arlie O. Petters (2021) (0)
- Counting Lensed Images: Single-Plane Case (2001) (0)
- Ju l 2 00 2 Gravitational Microlensing Near Caustics II : Cusps (0)
- Classification and Genericity of Stable Lens Systems (2001) (0)
- Local Lensing Geometry (2001) (0)
- Derivatives: Forwards, Futures, Swaps, and Options (2016) (0)
- Computing the Euler Characteristic (2001) (0)

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