Here are some (completed) lecture notes I scribed, most of the contents are graduate-level and roughly one-semester. I am quite a perfectionist in notes writing, so I'm not including some of the incompleted one. I hope there will be more completed one in the future. :)
Measure Theory (Real Analysis): lecture notes
Heat Kernel Estimate and Harnack's Inequality: lecture notes
Quantum Information (Part I): lecture notes