I am an Associate Professor in the Mathematics department at The Ohio State University at Columbus. My passion for mathematics centers around harmonic analysis, geometric measure theory, analytic number theory, and combinatorics. In a broad sense, I study and develop tools to study the geometry of fractal sets. Fractals are sets with intricate structure at infinitely many scales, and they appear throughout mathematics, and in art, medicine, and design.
A theme throughout my work is the use of the Fourier transform and generalized projection theory (think, the “shadow of a set”). 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.
- Editing for the Early Career column of the Notices: As of January 2023, Benjamin Jaye (Georgia Tech) and I will be the editors for the Early Career; submit your articles to Taylor.email@example.com
- Organizing a 5 day workshop the Banff International Research Station – June 9-14, 2024 – entitled
- Speaking at The Alfréd Rényi Institute of Mathematics (Budapest) in a semester program in September, 2024
- Editing the Newsletter for the Mathematics Department at OSU
- Invited address at the 2023 AMS Sectional Meeting in Cincinnati
- Organizing HAFS 2023: Along with Alex McDonald (OSU) and Eyvi Palsson (Virginia Tech), we are organizing a weekend workshop on Harmonic Analysis and Fractal Sets to take place in Columbus, Ohio – March 24-26, 2023
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.