# Ayla Gafni

## Visiting Assistant Professor of Mathematics

 Office 820 Hylan Building E-mail: agafni at ur dot rochester period edu

## Office hours

• Tuesday 4:00-5:30 pm
• Thursday 4:00-5:30 pm

## 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

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

2. Power partitions’’, Journal of Number Theory 163 (2016) 19-42. Link

3. Longest run of equal parts in a random integer composition’’, Discrete Mathematics 338 (2015) 236-247. Link

4. Counting rational points near planar curves’’, Acta Arithmetica 43 (2014) 91-100. Link