I am an Associate Professor in the Mathematics department at The Ohio State University at Columbus. My passion for mathematics centers around harmonic analysis with applications to geometric measure theory and analytic number theory. A theme throughout my work is the use of the Fourier transform and generalized projection theory (think, the “shadow of a set”) to understand the geometry of fractal sets. Applications include the study of distances, sums, products, existence of finite point configurations within subsets of Euclidean space. In addition to my pursuits in pure mathematics, I am interested in time series data analysis.
Before coming to OSU, I was an Industrial Postdoc at the Institute for Mathematics and its Applications at the University of Minnesota hosted by Professor Fadil Santosa.
I received my Ph.D. in mathematics from the University of Rochester, May 2012 under the direction of Professor Alex Iosevich. After graduating, I spent a year as a Postdoctoral Fellow in mathematics at the Technion- Israel Institute of Technology.
I created the Math to Industry seminar to empower students to use their mathematics degree to land rewarding jobs, and I organized one of the first international workshops in Harmonic analysis and fractal sets in the midwest: HAFS2017. Upcoming events that I am involved with include organizing HAFS 2023 and delivering an invited address at the 2023 AMS Sectional Meeting in Cincinnati.