Regular biography
Alexia Yavicoli is an Assistant Professor in the Department of Mathematics at The University of British Columbia. Prior to her current position, she held postdoctoral positions at UBC and St Andrews. Her research interests focus on fractal geometry and its relationships with harmonic analysis, geometric measure theory, number theory, ergodic theory, and probability. For additional information, visit her personal webpage. Contact her via email at yavicoli@math.ubc.ca.
Scholar-generated biography
Alexia Yavicoli is a researcher at the University of British Columbia, specializing in fractal geometry, geometric measure theory, ergodic theory, and harmonic analysis. Her work explores the dimensional properties of fractal sets, the structure of measures, and the interplay between measure theory and harmonic analysis. She investigates topics such as Furstenberg sets, patterns in compact sets, and the behavior of random measures under projections. Her research also addresses the thickness of sets, the existence of patterns in large sets, and the Fourier ratio as a tool for analyzing measures. Yavicoli's contributions focus on understanding the geometric and analytic properties of fractal structures and their interactions with classical and modern mathematical frameworks.