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