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## Background

Arlie Petters has been the William and Sue Gross Associate Professor of Mathematics at Duke University since 1998 and was named director of undergraduate studies in the department in August 2002. Petters earned his BA and MA in mathematics and physics from Hunter College. He earned a PhD in mathematics from MIT.

## Interests

Petters’ research involves mathematical physics, cosmology, singularity theory and differential geometry. Of special interest is gravitational lensing (explaining how light bends over massive distances) and its application to the possibility of a fourth spatial dimension. In recognition of his mentorship of minority students, he received the Service Award from the Princetonians of Color Network in 1996.

## News Items

## MLK Visiting Professor, Scholar named; 4 continue as MLK profs

Koffi Maglo and Patricia Powell join the cohort of MLK Visiting Professors and Scholars.

## 4 new MLK Visiting Professors named

The MLK Visiting Professors include two mathematicians, a material scientist and an urbanologist.

## Sample Work

### Publication

#### Singularity Theory and Gravitational Lensing

Petters, Arlie O., Harold Levine, and Joachim Wambsganss.

*Singularity theory and gravitational lensing*. Vol. 21. Springer Science & Business Media, 2012.### Publication

#### Identifying Lenses with Small-Scale Structure. I. Cusp Lenses

Keeton, Charles R., B. Scott Gaudi, and A. O. Petters. “Identifying lenses with small-scale structure. I. Cusp lenses.”

*The Astrophysical Journal*598, no. 1 (2003): 138.### Publication

#### On Relativistic Corrections to Microlensing Effects: Applications to the Galactic Black Hole

Petters, A. O. “On relativistic corrections to microlensing effects: applications to the Galactic black hole.”

*Monthly Notices of the Royal Astronomical Society*338, no. 2 (2003): 457-464.### Publication

#### Wavefronts, Caustic Sheets, and Caustic Surfing in Gravitational Lensing

Frittelli, Simonetta, and A. O. Petters. “Wavefronts, caustic sheets, and caustic surfing in gravitational lensing.”

*Journal of Mathematical Physics*43, no. 11 (2002): 5578-5611.