Regular biography
Joshua Zahl is a faculty member in the Department of Mathematics at The University of British Columbia. He obtained a PhD in Mathematics from UCLA and served as a Postdoctoral Fellow at MIT. Currently, he is an associate professor at UBC. His research interests include classical harmonic analysis and discrete geometry. Joshua Zahl's personal website can be accessed at https://www.math.ubc.ca/user/2684, and he can be contacted via email at jzahl@math.ubc.ca.
Scholar-generated biography
Joshua Zahl is a mathematician whose research focuses on combinatorial geometry, harmonic analysis, and incidence geometry. His work addresses problems related to point-line incidences, Kakeya sets, and additive combinatorics. Zahl has made significant contributions to understanding the structure of sets with small additive energy, spectral gaps, and the geometry of algebraic curves. His research also explores the interplay between polynomial methods and harmonic analysis, particularly in the context of Fourier restriction problems and the discretized sum-product problem. Zahl's publications often combine techniques from algebraic geometry, combinatorics, and analysis to tackle fundamental questions in geometric measure theory.