Matthew Badger
Associate Professor
matthew.badger@uconn.edu | |
Phone | 860-486-9148 |
Office Location | MONT 326 |
Link | https://tangentmeasure.com/ |
About:
Fall 2024 Teaching Hours: Tuesdays and Thursdays 8:00-9:15 and 11:00-12:15 1:15-3:15
Fall 2024 In Person Office Hours: Thursday 10:45-11:45, Wednesdays 1:30-2:30
I study Geometric Measure Theory and Its Applications, including interactions with Geometric Function Theory, Harmonic Analysis, Metric Geometry, and Partial Differential Equations
Select Publications:
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- M. Akman, M. Badger, S. Hofmann, J.M. Martell, Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries, Trans. Amer. Math. Soc. 369 (2017), no. 8, 5711-5745.
- 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 II: characterizations, Anal. Geom. Metr. Spaces 5 (2017), no. 1, 1-39.