Ayla Gafni

Visiting Assistant Professor of Mathematics

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

Office hours

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

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

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

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