About

I am interested in analysis, especially Fourier and harmonic analysis, viewed as a language connecting real and complex analysis, approximation theory, and analytic number theory. I’m drawn to problems where Fourier methods, structural approximation results, and complex-analytic techniques interact to control convergence, decay, and summation phenomena in function spaces.

Notes & PDFs

A small selection of lecture notes and personal write-ups.

Measure Theory Notes

Introductory measure theory: outer measures, Carathéodory, Radon–Nikodým, BV & NBV.

Open PDF Analysis

Dynamical Systems

Discrete and continuous dynamical systems: fixed points, stability, bifurcations, and qualitative behavior of trajectories.

Open PDF Dynamics

Honors Analysis

Undergrad real analysis: sequences and series, continuity, differentiation, Riemann integration, and metric space basics.

Open PDF Analysis

Contact

The best way to reach me is by email: richardkyu2 at google.