Krystal Taylor

Measure zero sets containing intricate structure are foundational in geometric measure theory. These include Besicovitch sets in the plane (also known as Kakeya sets), which are measure zero sets containing a line in every direction. Closely related...

A vibrant and classic area of research is that of relating the size of a set to the finite point configurations that it contains. Here, size may refer to cardinality, dimension, or measure. It is a consequence of the Lebesgue density theorem, for...

The Banff International Research Station will host the “On the Interface of Geometric Measure Theory and Harmonic Analysis” workshop in Banff from June 9 - 14, 2024. With a history dating back to Leibniz, the modern study of fractals is of interest...