Questions about geometric properties of sets using measure theoretic techniques; rectifiability of sets and measures, currents, Plateau problem, isoperimetric inequality and related topics.
References
[Federer1969] Federer H. Geometric measure theory. Die Grundlehren der mathematischen Wissenschaften, 153, Berlin–Heidelberg–New York: Springer-Verlag, 1969.
[AmbrosioFuscoPallara2000] Ambrosio L., Fusco N., Pallara D. Functions of Bounded Variation and Free Discontinuity Problems. Calderon press, Oxford, 2000.
[Morgan2000] Morgan F. Geometric Measure Theory: A Beginner's Guide. Academic Press, 2000.
[KrantzParks2008] Krantz S.G., Parks H.R. Geometric Integration Theory. Birkhäuser, 2008.
