Ayla Gafni
Visiting Assistant Professor of Mathematics
Office  820 Hylan Building 
Email:  agafni at ur dot rochester period edu 
Office hours
 Tuesday 4:005:30 pm
 Thursday 4:005:30 pm
Courses I’m teaching this semester
Research
My research interests include Analytic Number Theory, Circle Method, Harmonic Analysis, Diophantine Approximation, Partitions, and Additive Combinatorics. I am primarily interested in problems at the interface of the discrete and the continuous. I completed my Ph.D. at Pennsylvania State University in 2016 under the supervision of R.C. Vaughan. In Spring 2017, I was a postdoc at MSRI in the Analytic Number Theory program.
My publications

``Additive energy and the metric Poissonian property’’, (with Thomas F. Bloom, Sam Chow, and Aled Walker), arXiv:1709.02634 [Math.NT] (2017) submitted. Link

``Power partitions’’, Journal of Number Theory 163 (2016) 1942. Link

``Longest run of equal parts in a random integer composition’’, Discrete Mathematics 338 (2015) 236247. Link

``Counting rational points near planar curves’’, Acta Arithmetica 43 (2014) 91100. Link