# Arlie O. Petters

## Benjamin Powell Professor

## Bass Fellow of Mathematics

## Details

** Gravitational Lensing and Black Holes
**

(2017)

** An Introduction to Mathematical Finance: Understanding and Building Financial Intuition
**

(2016)

** Lensing by Kerr Black Holes. I. General Lens Equation and Magnification Formula
**

J. Math. Phys.
(2011)

** Orbifolds, the A, D, E Family of Caustic Singularities, and Gravitational Lensing
**

J. Math. Physics
(2011)

** Lensing by Kerr Black Holes. II. Analytical Study of Quasi-Equatorial Lensing Observables
**

(2011)

** Lensing by Kerr black holes. II: Analytical study of quasi-equatorial lensing observables
**

Journal of Mathematical Physics
(2011)

** Orbifolds, the A, D, E family of caustic singularities, and gravitational lensing
**

Journal of Mathematical Physics
(2011)

** Lensing by Kerr black holes. I. General lens equation and magnification formula
**

Journal of Mathematical Physics
(2011)

** Mathematics of Gravitational Lensing: Multiple Imaging and Magnification
**

Gen. Rel. and Grav., Special Issue on Gravitational Lensing
(2010)

** Mathematics of gravitational lensing: Multiple imaging and magnification
**

General Relativity and Gravitation
(2010)

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**Mathematical Physics***Mathematics*- tools form differential geometry, singularities, and probability theory*Physics*- problems connected to the interplay of gravity and light (gravitational lensing, general relativity, astrophysics, cosmology)My current research in mathematical physics is on gravitational lensing, which is the study of how gravity acts on light. In particular, I utilizing weak and strong deflection gravitational lensing to characterize the geometry of spacetime around black holes, test theories of gravity, and probe the nature of dark matter on galactic scales. I employ tools from astrophysics, cosmology, general relativity, high energy physics, and a variety of mathematical fields (e.g., differential geometry, singularities, and probability theory).

A mathematical theory of gravitational lensing is presented in the monograph:

*Singularity Theory and Gravitational Lensing*(A. O. Petters, H. Levine, and J. Wamsbganss).Two layman articles about my research are at:

*Ripple Effect*(Scott Huler).

*Prescription lens brings spinning black holes into focus*(Ashley Yeager).**Mathematical and Scientific Methods in Business Administration***Mathematical finance with applications**Entrepreneurship and business innovation in STEM fields (developing world)*By current business administration activities are three-fold. First, I am co-authoring a text on Mathematical Finance with Xiaoying Dong, who is an Adjunct Assistant Professor in our department and a trader for over 20 years. This book is aimed at first year graduate students from mathematics, economics, physics, computer science, and engineering. Second, at Duke's Fuqua School of Business I supervise the finance concentration research projects of Executive M.B.A. students. These projects cover a variety of topics: company valuations, derivatives, portfolio theory, mergers and acquisitions, etc. Third, I am involved with sustainable business and environmentally friendly applications of Science, Technology, Engineering, and Mathematics (STEM) in a developing-world setting that integrates education and entrepreneurship. These efforts are being piloted in Belize in collaboration with the Petters Research Institute and through my appointment with Fuqua. The overall goal is to research innovative ways to help drive national development through applications of STEM tools.

**Education:**

B.A. - CUNY Hunter College

M.A. - CUNY Hunter College

** Testing Theories of Gravity with Black Hole Lensing
**

In Proceedings of the Ninth Marcel Grossmann Meeting on General Relativity, ed. R. Ruffini edited by . Summer, 2006; : .

**2012**Grand Marshal, 2012 Central American Parade in L.A., received certificate of recognition from the mayor of L.A.

**2012**Grand Marshall, Central American Parade in L.A., COFECA

**2011**Caribbean American Heritage Award for Excellence in Science and Technology, The Institute of Caribbean Studies

**2011**Robert L. Clark Award for Scientific Achievement, Bronx Community College of the City University of New York

**2010**Chairman, Belize Prime Minister's Council of Science Advisers

**2008**Honorary Doctor of Science, Hunter College of City University of New York

**2008**Named by the Queen of England to Membership in the Most Excellent Order of the British Empire

**2008**Honorary Doctor of Science, Hunter College of the City University of New York

**2008**Member of the Most Excellent Order of the British Empire, The Queen of England

**2007**Award for Service to the Educational Development of Belize, Belizean organization, Friends in Support of the Diocese of Belize, New York

**2006**Portrait Inductee, National Academy of Sciences' Portrait Gallery of Distinguished African-American Scientists, National Academy of Sciences

**2004**Mathematical Innovations Grant Award, National Science Foundation

**2003**Martin Luther King, Jr. Visiting Professor of Physics, MIT

**2002**Blackwell-Tapia Prize in Mathematics, Cornell University and the Mathematical Sciences Research Institute

**2002**Blackwell-Tapia Prize in the Mathematical Sciences, Cornell University and the Mathematical Sciences Research Institute

**1999**Hall of Fame inductee - Hunter College, C.U.N.Y., Hunter College, CUNY

**1998**Alfred P. Sloan Research Fellowship Award, Alfred P. Sloan Foundation

**1998**Bass Fellow, Society of Bass Fellows, Duke University

**1998**Faculty Early Career Grant Award, Nation Science Foundation

**1998**CAREER Grant Award, National Science Foundation

**1998**Sloan Research Fellowship-Mathematics, Alfred P. Sloan Foundation

**1996**Belizeans in Solidarity Award for Outstanding Academic Achievement, Belizean Organization, New York

**1992**Sigma Xi, MIT

**1986**Bell Laboratories Cooperative Fellowship Award, Bell Laboratories