Notes

Below are notes I have taken over the years.

Comments are welcome. Let me know if you have found anything helpful or if you find any typos.

UW (PhD)

(Oberwolfach Report) Arbeitsgemeinschaft 2018: Rigidity of Stationary Measure. Lecture 3: Dynamics of Heisenberg Nilmanifolds.

Some notes on the Howe-Moore theorem.

Some notes on Quantitative Poincare Recurrence.

UIUC (Masters)

Some notes on functional calculus for a functional analysis course.

Final project on amenability for a functional analysis course.

Some notes on geometric group theory.

ASU (Undergrad)

Final project on hyperbolic geometry for a complex analysis course.

Final project on ergodicity of geodesic flow on quotients of the upper half plane for a hyperbolic geometry course.