Notes

Below are some lecture notes and study guides I've written!

Lecture Notes

• Uniqueness in the Plateau problem for calibrated currents (handwritten) [.pdf]

Note: Connor Mooney has excellent notes on geometric PDE available on his webpage!

Measure Theory Study Guides

Some study guides I wrote as a TA for graduate measure theory at UCI.

• Constructing Outer Measures [.pdf]

• Borel Measures on R [.pdf]

• Cantor Set [.pdf]

• Constructing the Integral [.pdf]

• Fubini's Theorem [.pdf]

• L^p Spaces [.pdf]

• Lebesgue Differentiation Theorem [.pdf]

• Radon-Nikodym Theorem [.pdf]

• Dual of L^p [.pdf]