Dr. William Bray, department head of mathematics, had a couple of productive years. In addition to his department duties, teaching classes and advising students, Bray has also published three papers.

Old friends, new papers

Bray collaborated with Dr. Boris Rubin, from Louisiana State University, for two of the papers.

Bray has known Rubin for more than 20 years, having first collaborated in 1997.

Both papers study transformations in real hyperbolic space. They studied inversion formulas in that space as well.

Both papers involve construction inversion formulas for Radon type transforms in real hyperbolic space.

The two publications are:

• “Radon transforms over lower dimensional horospheres in real hyperbolic space”, Transactions of the American Mathematical Society, volume 372 (2019).
• “Inversion formulas of integral geometry in real hyperbolic space”, Contemporary Math, volume 733 (2019).

Advising the next generation

Ellen Hunt, 2016 M.S. mathematics alumnae, used some of her thesis topic to work on this paper with Bray.

“We obtained energy equipartition principles for problems,” Bray said. “This tells us how energy splits into two forms, kinetic and potential.”

Hunt and Bray wrote “Wave equations and energy”, AIMS Math 4 (2019).

Congratulations, Dr. Bray! Keep on publishing.