Matthew Badger

Assistant Professor

Contact Information
Office LocationMONT 326

Geometric Measure Theory and Its Applications, including interactions with Harmonic Analysis, Partial Differential Equations, and Quasiconformal Mappings


Five Most Important Publications:

  • M. Badger, Null sets of harmonic measure on NTA domains: Lipschitz approximation revisited, Math. Z. 270 (2012), no. 1-2, 241-262.
  • M. Badger, S. Lewis, Local set approximation: Mattila-Vuorinen type sets, Reifenberg type sets, and tangent sets, Forum Math. Sigma 3 (2015), e24, 63 pp.
  • M. Badger, L. Naples, V. Vellis, Hölder curves and parameterizations in the Analyst’s Traveling Salesman theorem, Adv. Math. 349 (2019), 564-647.
  • M. Badger, R. Schul, Multiscale analysis of 1-rectifiable measures: necessary conditions, Math. Ann. 361 (2015), no. 3-4, 1055-1072.
  • M. Badger, R. Schul, Multiscale analysis of 1-rectifiable measures II: characterizations, Anal. Geom. Metr. Spaces 5 (2017), no. 1, 1-39.