Questions about geometric properties of sets using measure theoretic techniques; rectifiability of sets and measures, currents, Plateau problem, isoperimetric inequality and related topics.


[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.