Research Interests

I study Geometric Measure Theory under Professor Matthew Badger. Geometric measure theory is the study of the interplay between geometric structures and measure theoretic quantities.  I am particularly interested in characterizing measures according to their behavior on certain families of sets.

Publications

  1. (with Matthew Badger and Vyron Vellis) Hölder curves and parameterizations in the analyst’s traveling salesman theorem. Adv. Math. 349 (2019), 564–647.   [arxiv]